Least Common Multiple of 72/931, 42/881, 514/698

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 72/931, 42/881, 514/698 quickly i.e. 129528 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 72/931, 42/881, 514/698 is 129528.

LCM(72/931, 42/881, 514/698) = 129528

LCM of 72/931, 42/881, 514/698

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 72/931,42/881,514/698

Given numbers are 72/931,42/881,514/698

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 72,42,514

Least Common Multiple of Numerators i.e. LCM of 72,42,514 is 129528.

GCF of Denominators means GCF of 931,881,698 as per the given fractions.

GCF of 931,881,698 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 72,42,514

LCM of Fractions 72/931,42/881,514/698 is 129528

2 72, 42, 514
3 36, 21, 257
12, 7, 257

∴ So the LCM of the given numbers is 2 x 3 x 12 x 7 x 257 = 129528

Least Common Multiple of 72,42,514 with GCF Formula

Least Common Multiple of 72,42,514 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 72,42,514 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,42,514) = 2

common factors(in case of two or more numbers have common factors) = 6

GCF(72,42,514) x common factors =2 x 6 = 12

LCM(72,42,514) = ( 72 × 42 × 514 ) / 12

LCM(72,42,514) = 1554336 / 12

LCM(72,42,514) = 129528


Lets's calculate GCF of 931,881,698

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 129528/1

Therefore the LCM of Fractions 72/931,42/881,514/698 is 129528

Greatest Common Factor of 931,881,698 By Matching Biggest Common Factor Method

Greatest Common Factor of 931,881,698 By Matching Biggest Common Factor Method

Factors of 931

List of positive integer factors of 931 that divides 931 without a remainder.

1,7,19,49,133,931

Factors of 881

List of positive integer factors of 881 that divides 881 without a remainder.

1,881

Factors of 698

List of positive integer factors of 698 that divides 698 without a remainder.

1,2,349,698

Greatest Common Factor

We found the factors 931,881,698 . The biggest common factor number is the GCF number.
So the greatest common factor 931,881,698 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 72/931, 42/881, 514/698

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 72/931, 42/881, 514/698?

Answer: LCM of Numerators as per given numbers 72/931, 42/881, 514/698 is

LCM of Numerators i.e. for 72,42,514 is 129528

GCF of denominators i.e. for 931,881,698 is 1.

Thus, LCM of Fractions is 129528.Finally, LCM of Fractions for 72/931, 42/881, 514/698 is 129528.