Least Common Multiple of 59/21, 40/271, 985/740

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 59/21, 40/271, 985/740 quickly i.e. 464920 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 59/21, 40/271, 985/740 is 464920.

LCM(59/21, 40/271, 985/740) = 464920

LCM of 59/21, 40/271, 985/740

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 59/21,40/271,985/740

Given numbers are 59/21,40/271,985/740

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 59,40,985

Least Common Multiple of Numerators i.e. LCM of 59,40,985 is 464920.

GCF of Denominators means GCF of 21,271,740 as per the given fractions.

GCF of 21,271,740 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 59,40,985

LCM of Fractions 59/21,40/271,985/740 is 464920

5 59, 40, 985
59, 8, 197

∴ So the LCM of the given numbers is 5 x 59 x 8 x 197 = 464920

Least Common Multiple of 59,40,985 with GCF Formula

Least Common Multiple of 59,40,985 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 59,40,985 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(59,40,985) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(59,40,985) x common factors =1 x 5 = 5

LCM(59,40,985) = ( 59 × 40 × 985 ) / 5

LCM(59,40,985) = 2324600 / 5

LCM(59,40,985) = 464920


Lets's calculate GCF of 21,271,740

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 464920/1

Therefore the LCM of Fractions 59/21,40/271,985/740 is 464920

Greatest Common Factor of 21,271,740 By Matching Biggest Common Factor Method

Greatest Common Factor of 21,271,740 By Matching Biggest Common Factor Method

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 271

List of positive integer factors of 271 that divides 271 without a remainder.

1,271

Factors of 740

List of positive integer factors of 740 that divides 740 without a remainder.

1,2,4,5,10,20,37,74,148,185,370,740

Greatest Common Factor

We found the factors 21,271,740 . The biggest common factor number is the GCF number.
So the greatest common factor 21,271,740 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 59/21, 40/271, 985/740

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 59/21, 40/271, 985/740?

Answer: LCM of Numerators as per given numbers 59/21, 40/271, 985/740 is

LCM of Numerators i.e. for 59,40,985 is 464920

GCF of denominators i.e. for 21,271,740 is 1.

Thus, LCM of Fractions is 464920.Finally, LCM of Fractions for 59/21, 40/271, 985/740 is 464920.