Least Common Multiple of 321/370, 400/240

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 321/370, 400/240 quickly i.e. 12840 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 321/370, 400/240 is 12840.

LCM(321/370, 400/240) = 12840

LCM of 321/370, 400/240

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 321/370,400/240

Given numbers are 321/370,400/240

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 321,400

Least Common Multiple of Numerators i.e. LCM of 321,400 is 128400.

GCF of Denominators means GCF of 370,240 as per the given fractions.

GCF of 370,240 is 10 as it is the largest common factor for these numbers.

Lets's calculate LCM of 321,400

LCM of Fractions 321/370,400/240 is 12840

Given numbers has no common factors except 1. So, there LCM is their product i.e 128400

Least Common Multiple of 321,400 with GCF Formula

Least Common Multiple of 321,400 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 321,400 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(321,400) = 1

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

GCF(321,400) x common factors =1 x 1 = 1

LCM(321,400) = ( 321 × 400 ) / 1

LCM(321,400) = 128400 / 1

LCM(321,400) = 128400


Lets's calculate GCF of 370,240

2 370, 240
5 185, 120
37, 24

∴ So the GCF of the given numbers is 2 x 5 = 10

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 128400/10

Therefore the LCM of Fractions 321/370,400/240 is 12840

Greatest Common Factor of 370,240 By Matching Biggest Common Factor Method

Greatest Common Factor of 370,240 By Matching Biggest Common Factor Method

Factors of 370

List of positive integer factors of 370 that divides 370 without a remainder.

1,2,5,10,37,74,185,370

Factors of 240

List of positive integer factors of 240 that divides 240 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,40,48,60,80,120,240

Greatest Common Factor

We found the factors 370,240 . The biggest common factor number is the GCF number.
So the greatest common factor 370,240 is 10.


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 321/370, 400/240

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 321/370, 400/240?

Answer: LCM of Numerators as per given numbers 321/370, 400/240 is

LCM of Numerators i.e. for 321,400 is 128400

GCF of denominators i.e. for 370,240 is 10.

Thus, LCM of Fractions is 12840.Finally, LCM of Fractions for 321/370, 400/240 is 12840.