Least Common Multiple of 6/37, 31/728, 45/632

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6/37, 31/728, 45/632 quickly i.e. 2790 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6/37, 31/728, 45/632 is 2790.

LCM(6/37, 31/728, 45/632) = 2790

LCM of 6/37, 31/728, 45/632

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 6/37,31/728,45/632

Given numbers are 6/37,31/728,45/632

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 6,31,45

Least Common Multiple of Numerators i.e. LCM of 6,31,45 is 2790.

GCF of Denominators means GCF of 37,728,632 as per the given fractions.

GCF of 37,728,632 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6,31,45

LCM of Fractions 6/37,31/728,45/632 is 2790

3 6, 31, 45
2, 31, 15

∴ So the LCM of the given numbers is 3 x 2 x 31 x 15 = 2790

Least Common Multiple of 6,31,45 with GCF Formula

Least Common Multiple of 6,31,45 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 6,31,45 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6,31,45) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(6,31,45) x common factors =1 x 3 = 3

LCM(6,31,45) = ( 6 × 31 × 45 ) / 3

LCM(6,31,45) = 8370 / 3

LCM(6,31,45) = 2790


Lets's calculate GCF of 37,728,632

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2790/1

Therefore the LCM of Fractions 6/37,31/728,45/632 is 2790

Greatest Common Factor of 37,728,632 By Matching Biggest Common Factor Method

Greatest Common Factor of 37,728,632 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 728

List of positive integer factors of 728 that divides 728 without a remainder.

1,2,4,7,8,13,14,26,28,52,56,91,104,182,364,728

Factors of 632

List of positive integer factors of 632 that divides 632 without a remainder.

1,2,4,8,79,158,316,632

Greatest Common Factor

We found the factors 37,728,632 . The biggest common factor number is the GCF number.
So the greatest common factor 37,728,632 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 6/37, 31/728, 45/632

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 6/37, 31/728, 45/632?

Answer: LCM of Numerators as per given numbers 6/37, 31/728, 45/632 is

LCM of Numerators i.e. for 6,31,45 is 2790

GCF of denominators i.e. for 37,728,632 is 1.

Thus, LCM of Fractions is 2790.Finally, LCM of Fractions for 6/37, 31/728, 45/632 is 2790.