Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 916/56, 852/22, 848/168 quickly i.e. 20681448 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 916/56, 852/22, 848/168 is 20681448.
LCM(916/56, 852/22, 848/168) = 20681448
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 916/56,852/22,848/168
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 916,852,848
Least Common Multiple of Numerators i.e. LCM of 916,852,848 is 41362896.
GCF of Denominators means GCF of 56,22,168 as per the given fractions.
GCF of 56,22,168 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 916,852,848
2 | 916, 852, 848 |
2 | 458, 426, 424 |
229, 213, 212 |
∴ So the LCM of the given numbers is 2 x 2 x 229 x 213 x 212 = 41362896
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 916,852,848 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(916,852,848) = 4
common factors(in case of two or more numbers have common factors) = 4
GCF(916,852,848) x common factors =4 x 4 = 16
LCM(916,852,848) = ( 916 × 852 × 848 ) / 16
LCM(916,852,848) = 661806336 / 16
LCM(916,852,848) = 41362896
Lets's calculate GCF of 56,22,168
2 | 56, 22, 168 |
28, 11, 84 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 41362896/2
Therefore the LCM of Fractions 916/56,852/22,848/168 is 20681448
Factors of 56
List of positive integer factors of 56 that divides 56 without a remainder.
1,2,4,7,8,14,28,56
Factors of 22
List of positive integer factors of 22 that divides 22 without a remainder.
1,2,11,22
Factors of 168
List of positive integer factors of 168 that divides 168 without a remainder.
1,2,3,4,6,7,8,12,14,21,24,28,42,56,84,168
Greatest Common Factor
We found the factors 56,22,168 . The biggest common factor number is the GCF number.
So the greatest common factor 56,22,168 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 916/56, 852/22, 848/168?
Answer: LCM of Numerators as per given numbers 916/56, 852/22, 848/168 is
LCM of Numerators i.e. for 916,852,848 is 41362896
GCF of denominators i.e. for 56,22,168 is 2.
Thus, LCM of Fractions is 20681448.Finally, LCM of Fractions for 916/56, 852/22, 848/168 is 20681448.