Least Common Multiple of 49/731, 30/157, 294/471

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 49/731, 30/157, 294/471 quickly i.e. 1470 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 49/731, 30/157, 294/471 is 1470.

LCM(49/731, 30/157, 294/471) = 1470

LCM of 49/731, 30/157, 294/471

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 49/731,30/157,294/471

Given numbers are 49/731,30/157,294/471

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 49,30,294

Least Common Multiple of Numerators i.e. LCM of 49,30,294 is 1470.

GCF of Denominators means GCF of 731,157,471 as per the given fractions.

GCF of 731,157,471 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 49,30,294

LCM of Fractions 49/731,30/157,294/471 is 1470

2 49, 30, 294
3 49, 15, 147
7 49, 5, 49
7 7, 5, 7
1, 5, 1

∴ So the LCM of the given numbers is 2 x 3 x 7 x 7 x 1 x 5 x 1 = 1470

Least Common Multiple of 49,30,294 with GCF Formula

Least Common Multiple of 49,30,294 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 49,30,294 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,30,294) = 1

common factors(in case of two or more numbers have common factors) = 294

GCF(49,30,294) x common factors =1 x 294 = 294

LCM(49,30,294) = ( 49 × 30 × 294 ) / 294

LCM(49,30,294) = 432180 / 294

LCM(49,30,294) = 1470


Lets's calculate GCF of 731,157,471

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1470/1

Therefore the LCM of Fractions 49/731,30/157,294/471 is 1470

Greatest Common Factor of 731,157,471 By Matching Biggest Common Factor Method

Greatest Common Factor of 731,157,471 By Matching Biggest Common Factor Method

Factors of 731

List of positive integer factors of 731 that divides 731 without a remainder.

1,17,43,731

Factors of 157

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

1,157

Factors of 471

List of positive integer factors of 471 that divides 471 without a remainder.

1,3,157,471

Greatest Common Factor

We found the factors 731,157,471 . The biggest common factor number is the GCF number.
So the greatest common factor 731,157,471 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 49/731, 30/157, 294/471

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 49/731, 30/157, 294/471?

Answer: LCM of Numerators as per given numbers 49/731, 30/157, 294/471 is

LCM of Numerators i.e. for 49,30,294 is 1470

GCF of denominators i.e. for 731,157,471 is 1.

Thus, LCM of Fractions is 1470.Finally, LCM of Fractions for 49/731, 30/157, 294/471 is 1470.