Least Common Multiple of 40/273, 3938/1216

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 40/273, 3938/1216 quickly i.e. 78760 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 40/273, 3938/1216 is 78760.

LCM(40/273, 3938/1216) = 78760

LCM of 40/273, 3938/1216

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 40/273,3938/1216

Given numbers are 40/273,3938/1216

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 40,3938

Least Common Multiple of Numerators i.e. LCM of 40,3938 is 78760.

GCF of Denominators means GCF of 273,1216 as per the given fractions.

GCF of 273,1216 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 40,3938

LCM of Fractions 40/273,3938/1216 is 78760

2 40, 3938
20, 1969

∴ So the LCM of the given numbers is 2 x 20 x 1969 = 78760

Least Common Multiple of 40,3938 with GCF Formula

Least Common Multiple of 40,3938 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 40,3938 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,3938) = 2

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

GCF(40,3938) x common factors =2 x 1 = 2

LCM(40,3938) = ( 40 × 3938 ) / 2

LCM(40,3938) = 157520 / 2

LCM(40,3938) = 78760


Lets's calculate GCF of 273,1216

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 78760/1

Therefore the LCM of Fractions 40/273,3938/1216 is 78760

Greatest Common Factor of 273,1216 By Matching Biggest Common Factor Method

Greatest Common Factor of 273,1216 By Matching Biggest Common Factor Method

Factors of 273

List of positive integer factors of 273 that divides 273 without a remainder.

1,3,7,13,21,39,91,273

Factors of 1216

List of positive integer factors of 1216 that divides 1216 without a remainder.

1,2,4,8,16,19,32,38,64,76,152,304,608,1216

Greatest Common Factor

We found the factors 273,1216 . The biggest common factor number is the GCF number.
So the greatest common factor 273,1216 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 40/273, 3938/1216

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 40/273, 3938/1216?

Answer: LCM of Numerators as per given numbers 40/273, 3938/1216 is

LCM of Numerators i.e. for 40,3938 is 78760

GCF of denominators i.e. for 273,1216 is 1.

Thus, LCM of Fractions is 78760.Finally, LCM of Fractions for 40/273, 3938/1216 is 78760.