Least Common Multiple of 82/118, 882/372, 576/136

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 82/118, 882/372, 576/136 quickly i.e. 578592 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 82/118, 882/372, 576/136 is 578592.

LCM(82/118, 882/372, 576/136) = 578592

LCM of 82/118, 882/372, 576/136

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 82/118,882/372,576/136

Given numbers are 82/118,882/372,576/136

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 82,882,576

Least Common Multiple of Numerators i.e. LCM of 82,882,576 is 1157184.

GCF of Denominators means GCF of 118,372,136 as per the given fractions.

GCF of 118,372,136 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 82,882,576

LCM of Fractions 82/118,882/372,576/136 is 578592

2 82, 882, 576
3 41, 441, 288
3 41, 147, 96
41, 49, 32

∴ So the LCM of the given numbers is 2 x 3 x 3 x 41 x 49 x 32 = 1157184

Least Common Multiple of 82,882,576 with GCF Formula

Least Common Multiple of 82,882,576 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 82,882,576 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,882,576) = 2

common factors(in case of two or more numbers have common factors) = 18

GCF(82,882,576) x common factors =2 x 18 = 36

LCM(82,882,576) = ( 82 × 882 × 576 ) / 36

LCM(82,882,576) = 41658624 / 36

LCM(82,882,576) = 1157184


Lets's calculate GCF of 118,372,136

2 118, 372, 136
59, 186, 68

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1157184/2

Therefore the LCM of Fractions 82/118,882/372,576/136 is 578592

Greatest Common Factor of 118,372,136 By Matching Biggest Common Factor Method

Greatest Common Factor of 118,372,136 By Matching Biggest Common Factor Method

Factors of 118

List of positive integer factors of 118 that divides 118 without a remainder.

1,2,59,118

Factors of 372

List of positive integer factors of 372 that divides 372 without a remainder.

1,2,3,4,6,12,31,62,93,124,186,372

Factors of 136

List of positive integer factors of 136 that divides 136 without a remainder.

1,2,4,8,17,34,68,136

Greatest Common Factor

We found the factors 118,372,136 . The biggest common factor number is the GCF number.
So the greatest common factor 118,372,136 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 82/118, 882/372, 576/136

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 82/118, 882/372, 576/136?

Answer: LCM of Numerators as per given numbers 82/118, 882/372, 576/136 is

LCM of Numerators i.e. for 82,882,576 is 1157184

GCF of denominators i.e. for 118,372,136 is 2.

Thus, LCM of Fractions is 578592.Finally, LCM of Fractions for 82/118, 882/372, 576/136 is 578592.