Least Common Multiple of 240/37, 546/2070

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 240/37, 546/2070 quickly i.e. 21840 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 240/37, 546/2070 is 21840.

LCM(240/37, 546/2070) = 21840

LCM of 240/37, 546/2070

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 240/37,546/2070

Given numbers are 240/37,546/2070

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 240,546

Least Common Multiple of Numerators i.e. LCM of 240,546 is 21840.

GCF of Denominators means GCF of 37,2070 as per the given fractions.

GCF of 37,2070 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 240,546

LCM of Fractions 240/37,546/2070 is 21840

2 240, 546
3 120, 273
40, 91

∴ So the LCM of the given numbers is 2 x 3 x 40 x 91 = 21840

Least Common Multiple of 240,546 with GCF Formula

Least Common Multiple of 240,546 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 240,546 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(240,546) = 6

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

GCF(240,546) x common factors =6 x 1 = 6

LCM(240,546) = ( 240 × 546 ) / 6

LCM(240,546) = 131040 / 6

LCM(240,546) = 21840


Lets's calculate GCF of 37,2070

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21840/1

Therefore the LCM of Fractions 240/37,546/2070 is 21840

Greatest Common Factor of 37,2070 By Matching Biggest Common Factor Method

Greatest Common Factor of 37,2070 By Matching Biggest Common Factor Method

Factors of 37

List of positive integer factors of 37 that divides 37 without a remainder.

1,37

Factors of 2070

List of positive integer factors of 2070 that divides 2070 without a remainder.

1,2,3,5,6,9,10,15,18,23,30,45,46,69,90,115,138,207,230,345,414,690,1035,2070

Greatest Common Factor

We found the factors 37,2070 . The biggest common factor number is the GCF number.
So the greatest common factor 37,2070 is 1.


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 240/37, 546/2070

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 240/37, 546/2070?

Answer: LCM of Numerators as per given numbers 240/37, 546/2070 is

LCM of Numerators i.e. for 240,546 is 21840

GCF of denominators i.e. for 37,2070 is 1.

Thus, LCM of Fractions is 21840.Finally, LCM of Fractions for 240/37, 546/2070 is 21840.