Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 87/688, 58/854, 663/278 quickly i.e. 19227 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 87/688, 58/854, 663/278 is 19227.
LCM(87/688, 58/854, 663/278) = 19227
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 87/688,58/854,663/278
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 87,58,663
Least Common Multiple of Numerators i.e. LCM of 87,58,663 is 38454.
GCF of Denominators means GCF of 688,854,278 as per the given fractions.
GCF of 688,854,278 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 87,58,663
3 | 87, 58, 663 |
29 | 29, 58, 221 |
1, 2, 221 |
∴ So the LCM of the given numbers is 3 x 29 x 1 x 2 x 221 = 38454
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 87,58,663 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(87,58,663) = 1
common factors(in case of two or more numbers have common factors) = 87
GCF(87,58,663) x common factors =1 x 87 = 87
LCM(87,58,663) = ( 87 × 58 × 663 ) / 87
LCM(87,58,663) = 3345498 / 87
LCM(87,58,663) = 38454
Lets's calculate GCF of 688,854,278
2 | 688, 854, 278 |
344, 427, 139 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 38454/2
Therefore the LCM of Fractions 87/688,58/854,663/278 is 19227
Factors of 688
List of positive integer factors of 688 that divides 688 without a remainder.
1,2,4,8,16,43,86,172,344,688
Factors of 854
List of positive integer factors of 854 that divides 854 without a remainder.
1,2,7,14,61,122,427,854
Factors of 278
List of positive integer factors of 278 that divides 278 without a remainder.
1,2,139,278
Greatest Common Factor
We found the factors 688,854,278 . The biggest common factor number is the GCF number.
So the greatest common factor 688,854,278 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 87/688, 58/854, 663/278?
Answer: LCM of Numerators as per given numbers 87/688, 58/854, 663/278 is
LCM of Numerators i.e. for 87,58,663 is 38454
GCF of denominators i.e. for 688,854,278 is 2.
Thus, LCM of Fractions is 19227.Finally, LCM of Fractions for 87/688, 58/854, 663/278 is 19227.