Least Common Multiple of 291/60, 524/92, 711/714

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 291/60, 524/92, 711/714 quickly i.e. 18069354 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 291/60, 524/92, 711/714 is 18069354.

LCM(291/60, 524/92, 711/714) = 18069354

LCM of 291/60, 524/92, 711/714

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 291/60,524/92,711/714

Given numbers are 291/60,524/92,711/714

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 291,524,711

Least Common Multiple of Numerators i.e. LCM of 291,524,711 is 36138708.

GCF of Denominators means GCF of 60,92,714 as per the given fractions.

GCF of 60,92,714 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 291,524,711

LCM of Fractions 291/60,524/92,711/714 is 18069354

3 291, 524, 711
97, 524, 237

∴ So the LCM of the given numbers is 3 x 97 x 524 x 237 = 36138708

Least Common Multiple of 291,524,711 with GCF Formula

Least Common Multiple of 291,524,711 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 291,524,711 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(291,524,711) = 1

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

GCF(291,524,711) x common factors =1 x 3 = 3

LCM(291,524,711) = ( 291 × 524 × 711 ) / 3

LCM(291,524,711) = 108416124 / 3

LCM(291,524,711) = 36138708


Lets's calculate GCF of 60,92,714

2 60, 92, 714
30, 46, 357

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 36138708/2

Therefore the LCM of Fractions 291/60,524/92,711/714 is 18069354

Greatest Common Factor of 60,92,714 By Matching Biggest Common Factor Method

Greatest Common Factor of 60,92,714 By Matching Biggest Common Factor Method

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Factors of 714

List of positive integer factors of 714 that divides 714 without a remainder.

1,2,3,6,7,14,17,21,34,42,51,102,119,238,357,714

Greatest Common Factor

We found the factors 60,92,714 . The biggest common factor number is the GCF number.
So the greatest common factor 60,92,714 is 2.


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 291/60, 524/92, 711/714

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 291/60, 524/92, 711/714?

Answer: LCM of Numerators as per given numbers 291/60, 524/92, 711/714 is

LCM of Numerators i.e. for 291,524,711 is 36138708

GCF of denominators i.e. for 60,92,714 is 2.

Thus, LCM of Fractions is 18069354.Finally, LCM of Fractions for 291/60, 524/92, 711/714 is 18069354.