Least Common Multiple of 61/12, 64/49, 40/38, 40/996

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 61/12, 64/49, 40/38, 40/996 quickly i.e. 19520 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 61/12, 64/49, 40/38, 40/996 is 19520.

LCM(61/12, 64/49, 40/38, 40/996) = 19520

LCM of 61/12, 64/49, 40/38, 40/996

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 61/12,64/49,40/38,40/996

Given numbers are 61/12,64/49,40/38,40/996

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 61,64,40,40

Least Common Multiple of Numerators i.e. LCM of 61,64,40,40 is 19520.

GCF of Denominators means GCF of 12,49,38,996 as per the given fractions.

GCF of 12,49,38,996 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 61,64,40,40

LCM of Fractions 61/12,64/49,40/38,40/996 is 19520

2 61, 64, 40, 40
2 61, 32, 20, 20
2 61, 16, 10, 10
5 61, 8, 5, 5
61, 8, 1, 1

∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 61 x 8 x 1 x 1 = 19520

Least Common Multiple of 61,64,40,40 with GCF Formula

Least Common Multiple of 61,64,40,40 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 61,64,40,40 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,64,40,40) = 1

common factors(in case of two or more numbers have common factors) = 320

GCF(61,64,40,40) x common factors =1 x 320 = 320

LCM(61,64,40,40) = ( 61 × 64 × 40 × 40 ) / 320

LCM(61,64,40,40) = 6246400 / 320

LCM(61,64,40,40) = 19520


Lets's calculate GCF of 12,49,38,996

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19520/1

Therefore the LCM of Fractions 61/12,64/49,40/38,40/996 is 19520

Greatest Common Factor of 12,49,38,996 By Matching Biggest Common Factor Method

Greatest Common Factor of 12,49,38,996 By Matching Biggest Common Factor Method

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 996

List of positive integer factors of 996 that divides 996 without a remainder.

1,2,3,4,6,12,83,166,249,332,498,996

Greatest Common Factor

We found the factors 12,49,38,996 . The biggest common factor number is the GCF number.
So the greatest common factor 12,49,38,996 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 61/12, 64/49, 40/38, 40/996

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 61/12, 64/49, 40/38, 40/996?

Answer: LCM of Numerators as per given numbers 61/12, 64/49, 40/38, 40/996 is

LCM of Numerators i.e. for 61,64,40,40 is 19520

GCF of denominators i.e. for 12,49,38,996 is 1.

Thus, LCM of Fractions is 19520.Finally, LCM of Fractions for 61/12, 64/49, 40/38, 40/996 is 19520.