Least Common Multiple of 82/30, 32/21, 964/691

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 82/30, 32/21, 964/691 quickly i.e. 316192 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 82/30, 32/21, 964/691 is 316192.

LCM(82/30, 32/21, 964/691) = 316192

LCM of 82/30, 32/21, 964/691

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 82/30,32/21,964/691

Given numbers are 82/30,32/21,964/691

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 82,32,964

Least Common Multiple of Numerators i.e. LCM of 82,32,964 is 316192.

GCF of Denominators means GCF of 30,21,691 as per the given fractions.

GCF of 30,21,691 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 82,32,964

LCM of Fractions 82/30,32/21,964/691 is 316192

2 82, 32, 964
2 41, 16, 482
41, 8, 241

∴ So the LCM of the given numbers is 2 x 2 x 41 x 8 x 241 = 316192

Least Common Multiple of 82,32,964 with GCF Formula

Least Common Multiple of 82,32,964 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 82,32,964 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,32,964) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(82,32,964) x common factors =2 x 4 = 8

LCM(82,32,964) = ( 82 × 32 × 964 ) / 8

LCM(82,32,964) = 2529536 / 8

LCM(82,32,964) = 316192


Lets's calculate GCF of 30,21,691

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 316192/1

Therefore the LCM of Fractions 82/30,32/21,964/691 is 316192

Greatest Common Factor of 30,21,691 By Matching Biggest Common Factor Method

Greatest Common Factor of 30,21,691 By Matching Biggest Common Factor Method

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 691

List of positive integer factors of 691 that divides 691 without a remainder.

1,691

Greatest Common Factor

We found the factors 30,21,691 . The biggest common factor number is the GCF number.
So the greatest common factor 30,21,691 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 82/30, 32/21, 964/691

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 82/30, 32/21, 964/691?

Answer: LCM of Numerators as per given numbers 82/30, 32/21, 964/691 is

LCM of Numerators i.e. for 82,32,964 is 316192

GCF of denominators i.e. for 30,21,691 is 1.

Thus, LCM of Fractions is 316192.Finally, LCM of Fractions for 82/30, 32/21, 964/691 is 316192.