Least Common Multiple of 84/10, 56/40, 898/117

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 84/10, 56/40, 898/117 quickly i.e. 75432 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 84/10, 56/40, 898/117 is 75432.

LCM(84/10, 56/40, 898/117) = 75432

LCM of 84/10, 56/40, 898/117

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 84/10,56/40,898/117

Given numbers are 84/10,56/40,898/117

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 84,56,898

Least Common Multiple of Numerators i.e. LCM of 84,56,898 is 75432.

GCF of Denominators means GCF of 10,40,117 as per the given fractions.

GCF of 10,40,117 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 84,56,898

LCM of Fractions 84/10,56/40,898/117 is 75432

2 84, 56, 898
2 42, 28, 449
7 21, 14, 449
3, 2, 449

∴ So the LCM of the given numbers is 2 x 2 x 7 x 3 x 2 x 449 = 75432

Least Common Multiple of 84,56,898 with GCF Formula

Least Common Multiple of 84,56,898 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 84,56,898 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,56,898) = 2

common factors(in case of two or more numbers have common factors) = 28

GCF(84,56,898) x common factors =2 x 28 = 56

LCM(84,56,898) = ( 84 × 56 × 898 ) / 56

LCM(84,56,898) = 4224192 / 56

LCM(84,56,898) = 75432


Lets's calculate GCF of 10,40,117

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 75432/1

Therefore the LCM of Fractions 84/10,56/40,898/117 is 75432

Greatest Common Factor of 10,40,117 By Matching Biggest Common Factor Method

Greatest Common Factor of 10,40,117 By Matching Biggest Common Factor Method

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 117

List of positive integer factors of 117 that divides 117 without a remainder.

1,3,9,13,39,117

Greatest Common Factor

We found the factors 10,40,117 . The biggest common factor number is the GCF number.
So the greatest common factor 10,40,117 is 1.


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 84/10, 56/40, 898/117

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 84/10, 56/40, 898/117?

Answer: LCM of Numerators as per given numbers 84/10, 56/40, 898/117 is

LCM of Numerators i.e. for 84,56,898 is 75432

GCF of denominators i.e. for 10,40,117 is 1.

Thus, LCM of Fractions is 75432.Finally, LCM of Fractions for 84/10, 56/40, 898/117 is 75432.