Least Common Multiple of 139/57, 823/84, 468/45

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 139/57, 823/84, 468/45 quickly i.e. 17845932 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 139/57, 823/84, 468/45 is 17845932.

LCM(139/57, 823/84, 468/45) = 17845932

LCM of 139/57, 823/84, 468/45

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 139/57,823/84,468/45

Given numbers are 139/57,823/84,468/45

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 139,823,468

Least Common Multiple of Numerators i.e. LCM of 139,823,468 is 53537796.

GCF of Denominators means GCF of 57,84,45 as per the given fractions.

GCF of 57,84,45 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 139,823,468

LCM of Fractions 139/57,823/84,468/45 is 17845932

Given numbers has no common factors except 1. So, there LCM is their product i.e 53537796

Least Common Multiple of 139,823,468 with GCF Formula

Least Common Multiple of 139,823,468 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 139,823,468 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(139,823,468) = 1

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

GCF(139,823,468) x common factors =1 x 1 = 1

LCM(139,823,468) = ( 139 × 823 × 468 ) / 1

LCM(139,823,468) = 53537796 / 1

LCM(139,823,468) = 53537796


Lets's calculate GCF of 57,84,45

3 57, 84, 45
19, 28, 15

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 53537796/3

Therefore the LCM of Fractions 139/57,823/84,468/45 is 17845932

Greatest Common Factor of 57,84,45 By Matching Biggest Common Factor Method

Greatest Common Factor of 57,84,45 By Matching Biggest Common Factor Method

Factors of 57

List of positive integer factors of 57 that divides 57 without a remainder.

1,3,19,57

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Greatest Common Factor

We found the factors 57,84,45 . The biggest common factor number is the GCF number.
So the greatest common factor 57,84,45 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 139/57, 823/84, 468/45

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 139/57, 823/84, 468/45?

Answer: LCM of Numerators as per given numbers 139/57, 823/84, 468/45 is

LCM of Numerators i.e. for 139,823,468 is 53537796

GCF of denominators i.e. for 57,84,45 is 3.

Thus, LCM of Fractions is 17845932.Finally, LCM of Fractions for 139/57, 823/84, 468/45 is 17845932.