Least Common Multiple of 56/984, 96/852, 107/104

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 56/984, 96/852, 107/104 quickly i.e. 17976 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 56/984, 96/852, 107/104 is 17976.

LCM(56/984, 96/852, 107/104) = 17976

LCM of 56/984, 96/852, 107/104

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 56/984,96/852,107/104

Given numbers are 56/984,96/852,107/104

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 56,96,107

Least Common Multiple of Numerators i.e. LCM of 56,96,107 is 71904.

GCF of Denominators means GCF of 984,852,104 as per the given fractions.

GCF of 984,852,104 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 56,96,107

LCM of Fractions 56/984,96/852,107/104 is 17976

2 56, 96, 107
2 28, 48, 107
2 14, 24, 107
7, 12, 107

∴ So the LCM of the given numbers is 2 x 2 x 2 x 7 x 12 x 107 = 71904

Least Common Multiple of 56,96,107 with GCF Formula

Least Common Multiple of 56,96,107 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 56,96,107 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,96,107) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(56,96,107) x common factors =1 x 8 = 8

LCM(56,96,107) = ( 56 × 96 × 107 ) / 8

LCM(56,96,107) = 575232 / 8

LCM(56,96,107) = 71904


Lets's calculate GCF of 984,852,104

2 984, 852, 104
2 492, 426, 52
246, 213, 26

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 71904/4

Therefore the LCM of Fractions 56/984,96/852,107/104 is 17976

Greatest Common Factor of 984,852,104 By Matching Biggest Common Factor Method

Greatest Common Factor of 984,852,104 By Matching Biggest Common Factor Method

Factors of 984

List of positive integer factors of 984 that divides 984 without a remainder.

1,2,3,4,6,8,12,24,41,82,123,164,246,328,492,984

Factors of 852

List of positive integer factors of 852 that divides 852 without a remainder.

1,2,3,4,6,12,71,142,213,284,426,852

Factors of 104

List of positive integer factors of 104 that divides 104 without a remainder.

1,2,4,8,13,26,52,104

Greatest Common Factor

We found the factors 984,852,104 . The biggest common factor number is the GCF number.
So the greatest common factor 984,852,104 is 4.


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 56/984, 96/852, 107/104

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 56/984, 96/852, 107/104?

Answer: LCM of Numerators as per given numbers 56/984, 96/852, 107/104 is

LCM of Numerators i.e. for 56,96,107 is 71904

GCF of denominators i.e. for 984,852,104 is 4.

Thus, LCM of Fractions is 17976.Finally, LCM of Fractions for 56/984, 96/852, 107/104 is 17976.