Least Common Multiple of 87/52, 51/24, 359/188

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 87/52, 51/24, 359/188 quickly i.e. 530961/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 87/52, 51/24, 359/188 is 530961/4.

LCM(87/52, 51/24, 359/188) = 530961/4

LCM of 87/52, 51/24, 359/188

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 87/52,51/24,359/188

Given numbers are 87/52,51/24,359/188

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 87,51,359

Least Common Multiple of Numerators i.e. LCM of 87,51,359 is 530961.

GCF of Denominators means GCF of 52,24,188 as per the given fractions.

GCF of 52,24,188 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 87,51,359

LCM of Fractions 87/52,51/24,359/188 is 530961/4

3 87, 51, 359
29, 17, 359

∴ So the LCM of the given numbers is 3 x 29 x 17 x 359 = 530961

Least Common Multiple of 87,51,359 with GCF Formula

Least Common Multiple of 87,51,359 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 87,51,359 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,51,359) = 1

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

GCF(87,51,359) x common factors =1 x 3 = 3

LCM(87,51,359) = ( 87 × 51 × 359 ) / 3

LCM(87,51,359) = 1592883 / 3

LCM(87,51,359) = 530961


Lets's calculate GCF of 52,24,188

2 52, 24, 188
2 26, 12, 94
13, 6, 47

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 530961/4

Therefore the LCM of Fractions 87/52,51/24,359/188 is 530961/4

Greatest Common Factor of 52,24,188 By Matching Biggest Common Factor Method

Greatest Common Factor of 52,24,188 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 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Factors of 188

List of positive integer factors of 188 that divides 188 without a remainder.

1,2,4,47,94,188

Greatest Common Factor

We found the factors 52,24,188 . The biggest common factor number is the GCF number.
So the greatest common factor 52,24,188 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 87/52, 51/24, 359/188

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 87/52, 51/24, 359/188?

Answer: LCM of Numerators as per given numbers 87/52, 51/24, 359/188 is

LCM of Numerators i.e. for 87,51,359 is 530961

GCF of denominators i.e. for 52,24,188 is 4.

Thus, LCM of Fractions is 530961/4.Finally, LCM of Fractions for 87/52, 51/24, 359/188 is 530961/4.