what is the lcm of 7 and 9 630 To find the least common multiple I like to do a prime factorization of the numbers From those factorizations we take all the unique primes and multiply them together Like this 9 3xx3 10 2xx5 7 7 Looking at the prime factorizations all the factors need to be included And so we ll get 2xx3xx3xx5xx7 630 Let s check it 630 9xx 2xx5xx7
Prime factorize each number 2 2 3 3 9 3 3 Multiply each factor the greatest number of times it occurs in each number If the same factor occurs more than once in two or more numbers multiply the factor the greatest number of times it occurs 2 one occurence 3 two occurences LCM 2 3 9 2 3 3 18 LCM is 360 Prime factors of 5 are just 5 of 8 just 2 2 2 and of 9 just 3 3 There is nothing common between them Hence their LCM is 5 8 9 360 LCM is 360 Prime factors of 5 are just 5 of 8 just 2xx2xx2 and of 9 just 3xx3
what is the lcm of 7 and 9
what is the lcm of 7 and 9
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LCM Of 7 And 9 How To Find LCM Of 7 9
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LCM Of 5 And 6 How To Find LCM Of 5 6
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If we do we have to make sure that there isn t any other number lower than that that 6 and 9 go into First 5 Multiples of 6 6 12 18 24 30 First 5 Multiples of 9 9 18 27 36 45 There isn t any number before 18 that 6 and 9 both go into so 18 is the LCM of 6 and 9 Now we don t need to write down anymore multiples 18 The LCM or Lowest Common Multiple is a number where both 9 and 18 are factors Notice that 9xx2 18 Also 18 can be a factor of itself 18xx1 18 And so the LCM is 18 18xx1 18 9xx2 18
Start by checking the multiplication table of the largest number 9 9 1 9 9 2 18 Now 18 is present in the multiplication tables of 2 and 6 as well You can check this 18 2 3 3 or 18 2 9 or 18 6 3 Answer link 18 We list the multiples for each number to detect the least common multiple 2 2 4 It is 45 See explanation The lowest common multiple LCM of numbers a and b can be calculated as lcm a b axxb gcd a b where gcd is the greatedt common divisor In the given example the greatest common divisor gcd is 1 so the lowest common multiple is lcm 5 9 5xx9 45
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14 is the LCM If we have to find LCM of two numbers the smaller of which is a factor of bigger number or alternatively bigger number is a multiple of smaller number then bigger number is the LCM of the two numbers Here as 7 is a factor of 14 or 14 is a multiple of 7 hence 14 is the LCM Note Smaller number in such cases will be the Greatest Common Factor GCF What is the least common multiple of 7 18 21 48 Three friends Alice Bond and Charlie divide 1105 among them When 10 20 and 15 are removed from the sums that Alice Bond and Charlie received the share of the sums that they receive is in the ratio of 11 18 24 What did Charlie receive
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what is the lcm of 7 and 9 - If we do we have to make sure that there isn t any other number lower than that that 6 and 9 go into First 5 Multiples of 6 6 12 18 24 30 First 5 Multiples of 9 9 18 27 36 45 There isn t any number before 18 that 6 and 9 both go into so 18 is the LCM of 6 and 9 Now we don t need to write down anymore multiples