Least Common Multiple of 56/422, 711/168, 741/475

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 56/422, 711/168, 741/475 quickly i.e. 9834552 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 56/422, 711/168, 741/475 is 9834552.

LCM(56/422, 711/168, 741/475) = 9834552

LCM of 56/422, 711/168, 741/475

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 56/422,711/168,741/475

Given numbers are 56/422,711/168,741/475

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 56,711,741

Least Common Multiple of Numerators i.e. LCM of 56,711,741 is 9834552.

GCF of Denominators means GCF of 422,168,475 as per the given fractions.

GCF of 422,168,475 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 56,711,741

LCM of Fractions 56/422,711/168,741/475 is 9834552

3 56, 711, 741
56, 237, 247

∴ So the LCM of the given numbers is 3 x 56 x 237 x 247 = 9834552

Least Common Multiple of 56,711,741 with GCF Formula

Least Common Multiple of 56,711,741 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 56,711,741 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,711,741) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(56,711,741) x common factors =1 x 3 = 3

LCM(56,711,741) = ( 56 × 711 × 741 ) / 3

LCM(56,711,741) = 29503656 / 3

LCM(56,711,741) = 9834552


Lets's calculate GCF of 422,168,475

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9834552/1

Therefore the LCM of Fractions 56/422,711/168,741/475 is 9834552

Greatest Common Factor of 422,168,475 By Matching Biggest Common Factor Method

Greatest Common Factor of 422,168,475 By Matching Biggest Common Factor Method

Factors of 422

List of positive integer factors of 422 that divides 422 without a remainder.

1,2,211,422

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

Factors of 475

List of positive integer factors of 475 that divides 475 without a remainder.

1,5,19,25,95,475

Greatest Common Factor

We found the factors 422,168,475 . The biggest common factor number is the GCF number.
So the greatest common factor 422,168,475 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 56/422, 711/168, 741/475

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 56/422, 711/168, 741/475?

Answer: LCM of Numerators as per given numbers 56/422, 711/168, 741/475 is

LCM of Numerators i.e. for 56,711,741 is 9834552

GCF of denominators i.e. for 422,168,475 is 1.

Thus, LCM of Fractions is 9834552.Finally, LCM of Fractions for 56/422, 711/168, 741/475 is 9834552.