Least Common Multiple of 39/105, 76/957, 709/972

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 39/105, 76/957, 709/972 quickly i.e. 700492 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 39/105, 76/957, 709/972 is 700492.

LCM(39/105, 76/957, 709/972) = 700492

LCM of 39/105, 76/957, 709/972

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 39/105,76/957,709/972

Given numbers are 39/105,76/957,709/972

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 39,76,709

Least Common Multiple of Numerators i.e. LCM of 39,76,709 is 2101476.

GCF of Denominators means GCF of 105,957,972 as per the given fractions.

GCF of 105,957,972 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 39,76,709

LCM of Fractions 39/105,76/957,709/972 is 700492

Given numbers has no common factors except 1. So, there LCM is their product i.e 2101476

Least Common Multiple of 39,76,709 with GCF Formula

Least Common Multiple of 39,76,709 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 39,76,709 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(39,76,709) = 1

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

GCF(39,76,709) x common factors =1 x 1 = 1

LCM(39,76,709) = ( 39 × 76 × 709 ) / 1

LCM(39,76,709) = 2101476 / 1

LCM(39,76,709) = 2101476


Lets's calculate GCF of 105,957,972

3 105, 957, 972
35, 319, 324

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2101476/3

Therefore the LCM of Fractions 39/105,76/957,709/972 is 700492

Greatest Common Factor of 105,957,972 By Matching Biggest Common Factor Method

Greatest Common Factor of 105,957,972 By Matching Biggest Common Factor Method

Factors of 105

List of positive integer factors of 105 that divides 105 without a remainder.

1,3,5,7,15,21,35,105

Factors of 957

List of positive integer factors of 957 that divides 957 without a remainder.

1,3,11,29,33,87,319,957

Factors of 972

List of positive integer factors of 972 that divides 972 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,81,108,162,243,324,486,972

Greatest Common Factor

We found the factors 105,957,972 . The biggest common factor number is the GCF number.
So the greatest common factor 105,957,972 is 3.


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 39/105, 76/957, 709/972

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 39/105, 76/957, 709/972?

Answer: LCM of Numerators as per given numbers 39/105, 76/957, 709/972 is

LCM of Numerators i.e. for 39,76,709 is 2101476

GCF of denominators i.e. for 105,957,972 is 3.

Thus, LCM of Fractions is 700492.Finally, LCM of Fractions for 39/105, 76/957, 709/972 is 700492.