Least Common Multiple of 30/596, 25/358, 751/250

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 30/596, 25/358, 751/250 quickly i.e. 56325 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 30/596, 25/358, 751/250 is 56325.

LCM(30/596, 25/358, 751/250) = 56325

LCM of 30/596, 25/358, 751/250

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 30/596,25/358,751/250

Given numbers are 30/596,25/358,751/250

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 30,25,751

Least Common Multiple of Numerators i.e. LCM of 30,25,751 is 112650.

GCF of Denominators means GCF of 596,358,250 as per the given fractions.

GCF of 596,358,250 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 30,25,751

LCM of Fractions 30/596,25/358,751/250 is 56325

5 30, 25, 751
6, 5, 751

∴ So the LCM of the given numbers is 5 x 6 x 5 x 751 = 112650

Least Common Multiple of 30,25,751 with GCF Formula

Least Common Multiple of 30,25,751 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 30,25,751 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,25,751) = 1

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

GCF(30,25,751) x common factors =1 x 5 = 5

LCM(30,25,751) = ( 30 × 25 × 751 ) / 5

LCM(30,25,751) = 563250 / 5

LCM(30,25,751) = 112650


Lets's calculate GCF of 596,358,250

2 596, 358, 250
298, 179, 125

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 112650/2

Therefore the LCM of Fractions 30/596,25/358,751/250 is 56325

Greatest Common Factor of 596,358,250 By Matching Biggest Common Factor Method

Greatest Common Factor of 596,358,250 By Matching Biggest Common Factor Method

Factors of 596

List of positive integer factors of 596 that divides 596 without a remainder.

1,2,4,149,298,596

Factors of 358

List of positive integer factors of 358 that divides 358 without a remainder.

1,2,179,358

Factors of 250

List of positive integer factors of 250 that divides 250 without a remainder.

1,2,5,10,25,50,125,250

Greatest Common Factor

We found the factors 596,358,250 . The biggest common factor number is the GCF number.
So the greatest common factor 596,358,250 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 30/596, 25/358, 751/250

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 30/596, 25/358, 751/250?

Answer: LCM of Numerators as per given numbers 30/596, 25/358, 751/250 is

LCM of Numerators i.e. for 30,25,751 is 112650

GCF of denominators i.e. for 596,358,250 is 2.

Thus, LCM of Fractions is 56325.Finally, LCM of Fractions for 30/596, 25/358, 751/250 is 56325.