Least Common Multiple of 60/88, 87/40, 344/588

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 60/88, 87/40, 344/588 quickly i.e. 37410 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 60/88, 87/40, 344/588 is 37410.

LCM(60/88, 87/40, 344/588) = 37410

LCM of 60/88, 87/40, 344/588

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 60/88,87/40,344/588

Given numbers are 60/88,87/40,344/588

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 60,87,344

Least Common Multiple of Numerators i.e. LCM of 60,87,344 is 149640.

GCF of Denominators means GCF of 88,40,588 as per the given fractions.

GCF of 88,40,588 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 60,87,344

LCM of Fractions 60/88,87/40,344/588 is 37410

2 60, 87, 344
2 30, 87, 172
3 15, 87, 86
5, 29, 86

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 29 x 86 = 149640

Least Common Multiple of 60,87,344 with GCF Formula

Least Common Multiple of 60,87,344 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 60,87,344 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,87,344) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(60,87,344) x common factors =1 x 12 = 12

LCM(60,87,344) = ( 60 × 87 × 344 ) / 12

LCM(60,87,344) = 1795680 / 12

LCM(60,87,344) = 149640


Lets's calculate GCF of 88,40,588

2 88, 40, 588
2 44, 20, 294
22, 10, 147

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 149640/4

Therefore the LCM of Fractions 60/88,87/40,344/588 is 37410

Greatest Common Factor of 88,40,588 By Matching Biggest Common Factor Method

Greatest Common Factor of 88,40,588 By Matching Biggest Common Factor Method

Factors of 88

List of positive integer factors of 88 that divides 88 without a remainder.

1,2,4,8,11,22,44,88

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 588

List of positive integer factors of 588 that divides 588 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,49,84,98,147,196,294,588

Greatest Common Factor

We found the factors 88,40,588 . The biggest common factor number is the GCF number.
So the greatest common factor 88,40,588 is 4.


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 60/88, 87/40, 344/588

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 60/88, 87/40, 344/588?

Answer: LCM of Numerators as per given numbers 60/88, 87/40, 344/588 is

LCM of Numerators i.e. for 60,87,344 is 149640

GCF of denominators i.e. for 88,40,588 is 4.

Thus, LCM of Fractions is 37410.Finally, LCM of Fractions for 60/88, 87/40, 344/588 is 37410.