Least Common Multiple of 916/56, 852/22, 848/168

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

LCM of 916/56, 852/22, 848/168

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 916/56,852/22,848/168

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

LCM of Fractions 916/56,852/22,848/168 is 20681448

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

Least Common Multiple of 916,852,848 with GCF Formula

Least Common Multiple of 916,852,848 with GCF Formula

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

Greatest Common Factor of 56,22,168 By Matching Biggest Common Factor Method

Greatest Common Factor of 56,22,168 By Matching Biggest Common Factor Method

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.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 916/56, 852/22, 848/168

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.