Least Common Multiple of 4380/375, 3953/735

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4380/375, 3953/735 quickly i.e. 1154276 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4380/375, 3953/735 is 1154276.

LCM(4380/375, 3953/735) = 1154276

LCM of 4380/375, 3953/735

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 4380/375,3953/735

Given numbers are 4380/375,3953/735

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 4380,3953

Least Common Multiple of Numerators i.e. LCM of 4380,3953 is 17314140.

GCF of Denominators means GCF of 375,735 as per the given fractions.

GCF of 375,735 is 15 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4380,3953

LCM of Fractions 4380/375,3953/735 is 1154276

Given numbers has no common factors except 1. So, there LCM is their product i.e 17314140

Least Common Multiple of 4380,3953 with GCF Formula

Least Common Multiple of 4380,3953 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 4380,3953 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4380,3953) = 1

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

GCF(4380,3953) x common factors =1 x 1 = 1

LCM(4380,3953) = ( 4380 × 3953 ) / 1

LCM(4380,3953) = 17314140 / 1

LCM(4380,3953) = 17314140


Lets's calculate GCF of 375,735

3 375, 735
5 125, 245
25, 49

∴ So the GCF of the given numbers is 3 x 5 = 15

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17314140/15

Therefore the LCM of Fractions 4380/375,3953/735 is 1154276

Greatest Common Factor of 375,735 By Matching Biggest Common Factor Method

Greatest Common Factor of 375,735 By Matching Biggest Common Factor Method

Factors of 375

List of positive integer factors of 375 that divides 375 without a remainder.

1,3,5,15,25,75,125,375

Factors of 735

List of positive integer factors of 735 that divides 735 without a remainder.

1,3,5,7,15,21,35,49,105,147,245,735

Greatest Common Factor

We found the factors 375,735 . The biggest common factor number is the GCF number.
So the greatest common factor 375,735 is 15.


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 4380/375, 3953/735

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 4380/375, 3953/735?

Answer: LCM of Numerators as per given numbers 4380/375, 3953/735 is

LCM of Numerators i.e. for 4380,3953 is 17314140

GCF of denominators i.e. for 375,735 is 15.

Thus, LCM of Fractions is 1154276.Finally, LCM of Fractions for 4380/375, 3953/735 is 1154276.