Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 88/636, 3318/2782 quickly i.e. 72996 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 88/636, 3318/2782 is 72996.
LCM(88/636, 3318/2782) = 72996
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 88/636,3318/2782
Formula to find LCM of Fractions is
LCM = LCM of Numerators/GCF of Denominators
As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators
In the given fractions LCM of Numerators means LCM of 88,3318
Least Common Multiple of Numerators i.e. LCM of 88,3318 is 145992.
GCF of Denominators means GCF of 636,2782 as per the given fractions.
GCF of 636,2782 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 88,3318
2 | 88, 3318 |
44, 1659 |
∴ So the LCM of the given numbers is 2 x 44 x 1659 = 145992
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 88,3318 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(88,3318) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(88,3318) x common factors =2 x 1 = 2
LCM(88,3318) = ( 88 × 3318 ) / 2
LCM(88,3318) = 291984 / 2
LCM(88,3318) = 145992
Lets's calculate GCF of 636,2782
2 | 636, 2782 |
318, 1391 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 145992/2
Therefore the LCM of Fractions 88/636,3318/2782 is 72996
Factors of 636
List of positive integer factors of 636 that divides 636 without a remainder.
1,2,3,4,6,12,53,106,159,212,318,636
Factors of 2782
List of positive integer factors of 2782 that divides 2782 without a remainder.
1,2,13,26,107,214,1391,2782
Greatest Common Factor
We found the factors 636,2782 . The biggest common factor number is the GCF number.
So the greatest common factor 636,2782 is 2.
Here are some samples of LCM of Fractions calculations.
Here are some samples of LCM of Fractions calculations.
1. How to find LCM in Fractions?
Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.
2. What is the LCM of Fractions for 88/636, 3318/2782?
Answer: LCM of Numerators as per given numbers 88/636, 3318/2782 is
LCM of Numerators i.e. for 88,3318 is 145992
GCF of denominators i.e. for 636,2782 is 2.
Thus, LCM of Fractions is 72996.Finally, LCM of Fractions for 88/636, 3318/2782 is 72996.