Least Common Multiple of 674/52, 928/71, 931/706

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 674/52, 928/71, 931/706 quickly i.e. 291157216 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 674/52, 928/71, 931/706 is 291157216.

LCM(674/52, 928/71, 931/706) = 291157216

LCM of 674/52, 928/71, 931/706

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 674/52,928/71,931/706

Given numbers are 674/52,928/71,931/706

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 674,928,931

Least Common Multiple of Numerators i.e. LCM of 674,928,931 is 291157216.

GCF of Denominators means GCF of 52,71,706 as per the given fractions.

GCF of 52,71,706 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 674,928,931

LCM of Fractions 674/52,928/71,931/706 is 291157216

2 674, 928, 931
337, 464, 931

∴ So the LCM of the given numbers is 2 x 337 x 464 x 931 = 291157216

Least Common Multiple of 674,928,931 with GCF Formula

Least Common Multiple of 674,928,931 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 674,928,931 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(674,928,931) = 1

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

GCF(674,928,931) x common factors =1 x 2 = 2

LCM(674,928,931) = ( 674 × 928 × 931 ) / 2

LCM(674,928,931) = 582314432 / 2

LCM(674,928,931) = 291157216


Lets's calculate GCF of 52,71,706

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 291157216/1

Therefore the LCM of Fractions 674/52,928/71,931/706 is 291157216

Greatest Common Factor of 52,71,706 By Matching Biggest Common Factor Method

Greatest Common Factor of 52,71,706 By Matching Biggest Common Factor Method

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 706

List of positive integer factors of 706 that divides 706 without a remainder.

1,2,353,706

Greatest Common Factor

We found the factors 52,71,706 . The biggest common factor number is the GCF number.
So the greatest common factor 52,71,706 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 674/52, 928/71, 931/706

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 674/52, 928/71, 931/706?

Answer: LCM of Numerators as per given numbers 674/52, 928/71, 931/706 is

LCM of Numerators i.e. for 674,928,931 is 291157216

GCF of denominators i.e. for 52,71,706 is 1.

Thus, LCM of Fractions is 291157216.Finally, LCM of Fractions for 674/52, 928/71, 931/706 is 291157216.