Least Common Multiple of 750/30, 130/4328

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 750/30, 130/4328 quickly i.e. 4875 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 750/30, 130/4328 is 4875.

LCM(750/30, 130/4328) = 4875

LCM of 750/30, 130/4328

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 750/30,130/4328

Given numbers are 750/30,130/4328

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 750,130

Least Common Multiple of Numerators i.e. LCM of 750,130 is 9750.

GCF of Denominators means GCF of 30,4328 as per the given fractions.

GCF of 30,4328 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 750,130

LCM of Fractions 750/30,130/4328 is 4875

2 750, 130
5 375, 65
75, 13

∴ So the LCM of the given numbers is 2 x 5 x 75 x 13 = 9750

Least Common Multiple of 750,130 with GCF Formula

Least Common Multiple of 750,130 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 750,130 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(750,130) = 10

common factors(in case of two or more numbers have common factors) = 1

GCF(750,130) x common factors =10 x 1 = 10

LCM(750,130) = ( 750 × 130 ) / 10

LCM(750,130) = 97500 / 10

LCM(750,130) = 9750


Lets's calculate GCF of 30,4328

2 30, 4328
15, 2164

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9750/2

Therefore the LCM of Fractions 750/30,130/4328 is 4875

Greatest Common Factor of 30,4328 By Matching Biggest Common Factor Method

Greatest Common Factor of 30,4328 By Matching Biggest Common Factor Method

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 4328

List of positive integer factors of 4328 that divides 4328 without a remainder.

1,2,4,8,541,1082,2164,4328

Greatest Common Factor

We found the factors 30,4328 . The biggest common factor number is the GCF number.
So the greatest common factor 30,4328 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 750/30, 130/4328

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 750/30, 130/4328?

Answer: LCM of Numerators as per given numbers 750/30, 130/4328 is

LCM of Numerators i.e. for 750,130 is 9750

GCF of denominators i.e. for 30,4328 is 2.

Thus, LCM of Fractions is 4875.Finally, LCM of Fractions for 750/30, 130/4328 is 4875.