Least Common Multiple of 941/82, 109/36, 710/28

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 941/82, 109/36, 710/28 quickly i.e. 36411995 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 941/82, 109/36, 710/28 is 36411995.

LCM(941/82, 109/36, 710/28) = 36411995

LCM of 941/82, 109/36, 710/28

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 941/82,109/36,710/28

Given numbers are 941/82,109/36,710/28

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 941,109,710

Least Common Multiple of Numerators i.e. LCM of 941,109,710 is 72823990.

GCF of Denominators means GCF of 82,36,28 as per the given fractions.

GCF of 82,36,28 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 941,109,710

LCM of Fractions 941/82,109/36,710/28 is 36411995

Given numbers has no common factors except 1. So, there LCM is their product i.e 72823990

Least Common Multiple of 941,109,710 with GCF Formula

Least Common Multiple of 941,109,710 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 941,109,710 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(941,109,710) = 1

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

GCF(941,109,710) x common factors =1 x 1 = 1

LCM(941,109,710) = ( 941 × 109 × 710 ) / 1

LCM(941,109,710) = 72823990 / 1

LCM(941,109,710) = 72823990


Lets's calculate GCF of 82,36,28

2 82, 36, 28
41, 18, 14

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 72823990/2

Therefore the LCM of Fractions 941/82,109/36,710/28 is 36411995

Greatest Common Factor of 82,36,28 By Matching Biggest Common Factor Method

Greatest Common Factor of 82,36,28 By Matching Biggest Common Factor Method

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Greatest Common Factor

We found the factors 82,36,28 . The biggest common factor number is the GCF number.
So the greatest common factor 82,36,28 is 2.


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Frequently Asked Questions on Fractional LCM of 941/82, 109/36, 710/28

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 941/82, 109/36, 710/28?

Answer: LCM of Numerators as per given numbers 941/82, 109/36, 710/28 is

LCM of Numerators i.e. for 941,109,710 is 72823990

GCF of denominators i.e. for 82,36,28 is 2.

Thus, LCM of Fractions is 36411995.Finally, LCM of Fractions for 941/82, 109/36, 710/28 is 36411995.