Least Common Multiple of 37/522, 944/156, 240/746

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 37/522, 944/156, 240/746 quickly i.e. 261960 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 37/522, 944/156, 240/746 is 261960.

LCM(37/522, 944/156, 240/746) = 261960

LCM of 37/522, 944/156, 240/746

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 37/522,944/156,240/746

Given numbers are 37/522,944/156,240/746

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 37,944,240

Least Common Multiple of Numerators i.e. LCM of 37,944,240 is 523920.

GCF of Denominators means GCF of 522,156,746 as per the given fractions.

GCF of 522,156,746 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 37,944,240

LCM of Fractions 37/522,944/156,240/746 is 261960

2 37, 944, 240
2 37, 472, 120
2 37, 236, 60
2 37, 118, 30
37, 59, 15

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 37 x 59 x 15 = 523920

Least Common Multiple of 37,944,240 with GCF Formula

Least Common Multiple of 37,944,240 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 37,944,240 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,944,240) = 1

common factors(in case of two or more numbers have common factors) = 16

GCF(37,944,240) x common factors =1 x 16 = 16

LCM(37,944,240) = ( 37 × 944 × 240 ) / 16

LCM(37,944,240) = 8382720 / 16

LCM(37,944,240) = 523920


Lets's calculate GCF of 522,156,746

2 522, 156, 746
261, 78, 373

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 523920/2

Therefore the LCM of Fractions 37/522,944/156,240/746 is 261960

Greatest Common Factor of 522,156,746 By Matching Biggest Common Factor Method

Greatest Common Factor of 522,156,746 By Matching Biggest Common Factor Method

Factors of 522

List of positive integer factors of 522 that divides 522 without a remainder.

1,2,3,6,9,18,29,58,87,174,261,522

Factors of 156

List of positive integer factors of 156 that divides 156 without a remainder.

1,2,3,4,6,12,13,26,39,52,78,156

Factors of 746

List of positive integer factors of 746 that divides 746 without a remainder.

1,2,373,746

Greatest Common Factor

We found the factors 522,156,746 . The biggest common factor number is the GCF number.
So the greatest common factor 522,156,746 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 37/522, 944/156, 240/746

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 37/522, 944/156, 240/746?

Answer: LCM of Numerators as per given numbers 37/522, 944/156, 240/746 is

LCM of Numerators i.e. for 37,944,240 is 523920

GCF of denominators i.e. for 522,156,746 is 2.

Thus, LCM of Fractions is 261960.Finally, LCM of Fractions for 37/522, 944/156, 240/746 is 261960.