Least Common Multiple of 588/51, 140/52, 312/188

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 588/51, 140/52, 312/188 quickly i.e. 76440 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 588/51, 140/52, 312/188 is 76440.

LCM(588/51, 140/52, 312/188) = 76440

LCM of 588/51, 140/52, 312/188

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 588/51,140/52,312/188

Given numbers are 588/51,140/52,312/188

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 588,140,312

Least Common Multiple of Numerators i.e. LCM of 588,140,312 is 76440.

GCF of Denominators means GCF of 51,52,188 as per the given fractions.

GCF of 51,52,188 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 588,140,312

LCM of Fractions 588/51,140/52,312/188 is 76440

2 588, 140, 312
2 294, 70, 156
3 147, 35, 78
7 49, 35, 26
7, 5, 26

∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 7 x 5 x 26 = 76440

Least Common Multiple of 588,140,312 with GCF Formula

Least Common Multiple of 588,140,312 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 588,140,312 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(588,140,312) = 4

common factors(in case of two or more numbers have common factors) = 84

GCF(588,140,312) x common factors =4 x 84 = 336

LCM(588,140,312) = ( 588 × 140 × 312 ) / 336

LCM(588,140,312) = 25683840 / 336

LCM(588,140,312) = 76440


Lets's calculate GCF of 51,52,188

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 76440/1

Therefore the LCM of Fractions 588/51,140/52,312/188 is 76440

Greatest Common Factor of 51,52,188 By Matching Biggest Common Factor Method

Greatest Common Factor of 51,52,188 By Matching Biggest Common Factor Method

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

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 51,52,188 . The biggest common factor number is the GCF number.
So the greatest common factor 51,52,188 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 588/51, 140/52, 312/188

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 588/51, 140/52, 312/188?

Answer: LCM of Numerators as per given numbers 588/51, 140/52, 312/188 is

LCM of Numerators i.e. for 588,140,312 is 76440

GCF of denominators i.e. for 51,52,188 is 1.

Thus, LCM of Fractions is 76440.Finally, LCM of Fractions for 588/51, 140/52, 312/188 is 76440.