Least Common Multiple of 375/25, 220/1290

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 375/25, 220/1290 quickly i.e. 3300 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 375/25, 220/1290 is 3300.

LCM(375/25, 220/1290) = 3300

LCM of 375/25, 220/1290

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 375/25,220/1290

Given numbers are 375/25,220/1290

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 375,220

Least Common Multiple of Numerators i.e. LCM of 375,220 is 16500.

GCF of Denominators means GCF of 25,1290 as per the given fractions.

GCF of 25,1290 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 375,220

LCM of Fractions 375/25,220/1290 is 3300

5 375, 220
75, 44

∴ So the LCM of the given numbers is 5 x 75 x 44 = 16500

Least Common Multiple of 375,220 with GCF Formula

Least Common Multiple of 375,220 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 375,220 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(375,220) = 5

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

GCF(375,220) x common factors =5 x 1 = 5

LCM(375,220) = ( 375 × 220 ) / 5

LCM(375,220) = 82500 / 5

LCM(375,220) = 16500


Lets's calculate GCF of 25,1290

5 25, 1290
5, 258

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16500/5

Therefore the LCM of Fractions 375/25,220/1290 is 3300

Greatest Common Factor of 25,1290 By Matching Biggest Common Factor Method

Greatest Common Factor of 25,1290 By Matching Biggest Common Factor Method

Factors of 25

List of positive integer factors of 25 that divides 25 without a remainder.

1,5,25

Factors of 1290

List of positive integer factors of 1290 that divides 1290 without a remainder.

1,2,3,5,6,10,15,30,43,86,129,215,258,430,645,1290

Greatest Common Factor

We found the factors 25,1290 . The biggest common factor number is the GCF number.
So the greatest common factor 25,1290 is 5.


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 375/25, 220/1290

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 375/25, 220/1290?

Answer: LCM of Numerators as per given numbers 375/25, 220/1290 is

LCM of Numerators i.e. for 375,220 is 16500

GCF of denominators i.e. for 25,1290 is 5.

Thus, LCM of Fractions is 3300.Finally, LCM of Fractions for 375/25, 220/1290 is 3300.