Least Common Multiple of 57/822, 65/846, 344/132

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 57/822, 65/846, 344/132 quickly i.e. 212420 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 57/822, 65/846, 344/132 is 212420.

LCM(57/822, 65/846, 344/132) = 212420

LCM of 57/822, 65/846, 344/132

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 57/822,65/846,344/132

Given numbers are 57/822,65/846,344/132

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 57,65,344

Least Common Multiple of Numerators i.e. LCM of 57,65,344 is 1274520.

GCF of Denominators means GCF of 822,846,132 as per the given fractions.

GCF of 822,846,132 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 57,65,344

LCM of Fractions 57/822,65/846,344/132 is 212420

Given numbers has no common factors except 1. So, there LCM is their product i.e 1274520

Least Common Multiple of 57,65,344 with GCF Formula

Least Common Multiple of 57,65,344 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 57,65,344 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,65,344) = 1

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

GCF(57,65,344) x common factors =1 x 1 = 1

LCM(57,65,344) = ( 57 × 65 × 344 ) / 1

LCM(57,65,344) = 1274520 / 1

LCM(57,65,344) = 1274520


Lets's calculate GCF of 822,846,132

2 822, 846, 132
3 411, 423, 66
137, 141, 22

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1274520/6

Therefore the LCM of Fractions 57/822,65/846,344/132 is 212420

Greatest Common Factor of 822,846,132 By Matching Biggest Common Factor Method

Greatest Common Factor of 822,846,132 By Matching Biggest Common Factor Method

Factors of 822

List of positive integer factors of 822 that divides 822 without a remainder.

1,2,3,6,137,274,411,822

Factors of 846

List of positive integer factors of 846 that divides 846 without a remainder.

1,2,3,6,9,18,47,94,141,282,423,846

Factors of 132

List of positive integer factors of 132 that divides 132 without a remainder.

1,2,3,4,6,11,12,22,33,44,66,132

Greatest Common Factor

We found the factors 822,846,132 . The biggest common factor number is the GCF number.
So the greatest common factor 822,846,132 is 6.


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 57/822, 65/846, 344/132

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 57/822, 65/846, 344/132?

Answer: LCM of Numerators as per given numbers 57/822, 65/846, 344/132 is

LCM of Numerators i.e. for 57,65,344 is 1274520

GCF of denominators i.e. for 822,846,132 is 6.

Thus, LCM of Fractions is 212420.Finally, LCM of Fractions for 57/822, 65/846, 344/132 is 212420.