Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 56/854, 48/552, 288/638 quickly i.e. 1008 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 56/854, 48/552, 288/638 is 1008.
LCM(56/854, 48/552, 288/638) = 1008
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 56/854,48/552,288/638
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 56,48,288
Least Common Multiple of Numerators i.e. LCM of 56,48,288 is 2016.
GCF of Denominators means GCF of 854,552,638 as per the given fractions.
GCF of 854,552,638 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 56,48,288
2 | 56, 48, 288 |
2 | 28, 24, 144 |
2 | 14, 12, 72 |
2 | 7, 6, 36 |
3 | 7, 3, 18 |
7, 1, 6 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 7 x 1 x 6 = 2016
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 56,48,288 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(56,48,288) = 8
common factors(in case of two or more numbers have common factors) = 48
GCF(56,48,288) x common factors =8 x 48 = 384
LCM(56,48,288) = ( 56 × 48 × 288 ) / 384
LCM(56,48,288) = 774144 / 384
LCM(56,48,288) = 2016
Lets's calculate GCF of 854,552,638
2 | 854, 552, 638 |
427, 276, 319 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2016/2
Therefore the LCM of Fractions 56/854,48/552,288/638 is 1008
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 552
List of positive integer factors of 552 that divides 552 without a remainder.
1,2,3,4,6,8,12,23,24,46,69,92,138,184,276,552
Factors of 638
List of positive integer factors of 638 that divides 638 without a remainder.
1,2,11,22,29,58,319,638
Greatest Common Factor
We found the factors 854,552,638 . The biggest common factor number is the GCF number.
So the greatest common factor 854,552,638 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 56/854, 48/552, 288/638?
Answer: LCM of Numerators as per given numbers 56/854, 48/552, 288/638 is
LCM of Numerators i.e. for 56,48,288 is 2016
GCF of denominators i.e. for 854,552,638 is 2.
Thus, LCM of Fractions is 1008.Finally, LCM of Fractions for 56/854, 48/552, 288/638 is 1008.