Least Common Multiple of 472/641, 611/737, 506/157

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 472/641, 611/737, 506/157 quickly i.e. 72963176 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 472/641, 611/737, 506/157 is 72963176.

LCM(472/641, 611/737, 506/157) = 72963176

LCM of 472/641, 611/737, 506/157

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 472/641,611/737,506/157

Given numbers are 472/641,611/737,506/157

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 472,611,506

Least Common Multiple of Numerators i.e. LCM of 472,611,506 is 72963176.

GCF of Denominators means GCF of 641,737,157 as per the given fractions.

GCF of 641,737,157 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 472,611,506

LCM of Fractions 472/641,611/737,506/157 is 72963176

2 472, 611, 506
236, 611, 253

∴ So the LCM of the given numbers is 2 x 236 x 611 x 253 = 72963176

Least Common Multiple of 472,611,506 with GCF Formula

Least Common Multiple of 472,611,506 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 472,611,506 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(472,611,506) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(472,611,506) x common factors =1 x 2 = 2

LCM(472,611,506) = ( 472 × 611 × 506 ) / 2

LCM(472,611,506) = 145926352 / 2

LCM(472,611,506) = 72963176


Lets's calculate GCF of 641,737,157

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 72963176/1

Therefore the LCM of Fractions 472/641,611/737,506/157 is 72963176

Greatest Common Factor of 641,737,157 By Matching Biggest Common Factor Method

Greatest Common Factor of 641,737,157 By Matching Biggest Common Factor Method

Factors of 641

List of positive integer factors of 641 that divides 641 without a remainder.

1,641

Factors of 737

List of positive integer factors of 737 that divides 737 without a remainder.

1,11,67,737

Factors of 157

List of positive integer factors of 157 that divides 157 without a remainder.

1,157

Greatest Common Factor

We found the factors 641,737,157 . The biggest common factor number is the GCF number.
So the greatest common factor 641,737,157 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 472/641, 611/737, 506/157

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 472/641, 611/737, 506/157?

Answer: LCM of Numerators as per given numbers 472/641, 611/737, 506/157 is

LCM of Numerators i.e. for 472,611,506 is 72963176

GCF of denominators i.e. for 641,737,157 is 1.

Thus, LCM of Fractions is 72963176.Finally, LCM of Fractions for 472/641, 611/737, 506/157 is 72963176.