Least Common Multiple of 71/468, 70/892, 568/846

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 71/468, 70/892, 568/846 quickly i.e. 9940 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 71/468, 70/892, 568/846 is 9940.

LCM(71/468, 70/892, 568/846) = 9940

LCM of 71/468, 70/892, 568/846

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 71/468,70/892,568/846

Given numbers are 71/468,70/892,568/846

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 71,70,568

Least Common Multiple of Numerators i.e. LCM of 71,70,568 is 19880.

GCF of Denominators means GCF of 468,892,846 as per the given fractions.

GCF of 468,892,846 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 71,70,568

LCM of Fractions 71/468,70/892,568/846 is 9940

2 71, 70, 568
71 71, 35, 284
1, 35, 4

∴ So the LCM of the given numbers is 2 x 71 x 1 x 35 x 4 = 19880

Least Common Multiple of 71,70,568 with GCF Formula

Least Common Multiple of 71,70,568 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 71,70,568 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,70,568) = 1

common factors(in case of two or more numbers have common factors) = 142

GCF(71,70,568) x common factors =1 x 142 = 142

LCM(71,70,568) = ( 71 × 70 × 568 ) / 142

LCM(71,70,568) = 2822960 / 142

LCM(71,70,568) = 19880


Lets's calculate GCF of 468,892,846

2 468, 892, 846
234, 446, 423

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19880/2

Therefore the LCM of Fractions 71/468,70/892,568/846 is 9940

Greatest Common Factor of 468,892,846 By Matching Biggest Common Factor Method

Greatest Common Factor of 468,892,846 By Matching Biggest Common Factor Method

Factors of 468

List of positive integer factors of 468 that divides 468 without a remainder.

1,2,3,4,6,9,12,13,18,26,36,39,52,78,117,156,234,468

Factors of 892

List of positive integer factors of 892 that divides 892 without a remainder.

1,2,4,223,446,892

Factors of 846

List of positive integer factors of 846 that divides 846 without a remainder.

1,2,3,6,9,18,47,94,141,282,423,846

Greatest Common Factor

We found the factors 468,892,846 . The biggest common factor number is the GCF number.
So the greatest common factor 468,892,846 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 71/468, 70/892, 568/846

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 71/468, 70/892, 568/846?

Answer: LCM of Numerators as per given numbers 71/468, 70/892, 568/846 is

LCM of Numerators i.e. for 71,70,568 is 19880

GCF of denominators i.e. for 468,892,846 is 2.

Thus, LCM of Fractions is 9940.Finally, LCM of Fractions for 71/468, 70/892, 568/846 is 9940.