Least Common Multiple of 32/476, 39/870, 709/992

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 32/476, 39/870, 709/992 quickly i.e. 442416 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 32/476, 39/870, 709/992 is 442416.

LCM(32/476, 39/870, 709/992) = 442416

LCM of 32/476, 39/870, 709/992

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 32/476,39/870,709/992

Given numbers are 32/476,39/870,709/992

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 32,39,709

Least Common Multiple of Numerators i.e. LCM of 32,39,709 is 884832.

GCF of Denominators means GCF of 476,870,992 as per the given fractions.

GCF of 476,870,992 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 32,39,709

LCM of Fractions 32/476,39/870,709/992 is 442416

Given numbers has no common factors except 1. So, there LCM is their product i.e 884832

Least Common Multiple of 32,39,709 with GCF Formula

Least Common Multiple of 32,39,709 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 32,39,709 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,39,709) = 1

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

GCF(32,39,709) x common factors =1 x 1 = 1

LCM(32,39,709) = ( 32 × 39 × 709 ) / 1

LCM(32,39,709) = 884832 / 1

LCM(32,39,709) = 884832


Lets's calculate GCF of 476,870,992

2 476, 870, 992
238, 435, 496

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 884832/2

Therefore the LCM of Fractions 32/476,39/870,709/992 is 442416

Greatest Common Factor of 476,870,992 By Matching Biggest Common Factor Method

Greatest Common Factor of 476,870,992 By Matching Biggest Common Factor Method

Factors of 476

List of positive integer factors of 476 that divides 476 without a remainder.

1,2,4,7,14,17,28,34,68,119,238,476

Factors of 870

List of positive integer factors of 870 that divides 870 without a remainder.

1,2,3,5,6,10,15,29,30,58,87,145,174,290,435,870

Factors of 992

List of positive integer factors of 992 that divides 992 without a remainder.

1,2,4,8,16,31,32,62,124,248,496,992

Greatest Common Factor

We found the factors 476,870,992 . The biggest common factor number is the GCF number.
So the greatest common factor 476,870,992 is 2.


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 32/476, 39/870, 709/992

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 32/476, 39/870, 709/992?

Answer: LCM of Numerators as per given numbers 32/476, 39/870, 709/992 is

LCM of Numerators i.e. for 32,39,709 is 884832

GCF of denominators i.e. for 476,870,992 is 2.

Thus, LCM of Fractions is 442416.Finally, LCM of Fractions for 32/476, 39/870, 709/992 is 442416.