Least Common Multiple of 123/86, 153/72, 578/35

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 123/86, 153/72, 578/35 quickly i.e. 213282 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 123/86, 153/72, 578/35 is 213282.

LCM(123/86, 153/72, 578/35) = 213282

LCM of 123/86, 153/72, 578/35

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 123/86,153/72,578/35

Given numbers are 123/86,153/72,578/35

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 123,153,578

Least Common Multiple of Numerators i.e. LCM of 123,153,578 is 213282.

GCF of Denominators means GCF of 86,72,35 as per the given fractions.

GCF of 86,72,35 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 123,153,578

LCM of Fractions 123/86,153/72,578/35 is 213282

3 123, 153, 578
17 41, 51, 578
41, 3, 34

∴ So the LCM of the given numbers is 3 x 17 x 41 x 3 x 34 = 213282

Least Common Multiple of 123,153,578 with GCF Formula

Least Common Multiple of 123,153,578 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 123,153,578 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(123,153,578) = 1

common factors(in case of two or more numbers have common factors) = 51

GCF(123,153,578) x common factors =1 x 51 = 51

LCM(123,153,578) = ( 123 × 153 × 578 ) / 51

LCM(123,153,578) = 10877382 / 51

LCM(123,153,578) = 213282


Lets's calculate GCF of 86,72,35

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 213282/1

Therefore the LCM of Fractions 123/86,153/72,578/35 is 213282

Greatest Common Factor of 86,72,35 By Matching Biggest Common Factor Method

Greatest Common Factor of 86,72,35 By Matching Biggest Common Factor Method

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Greatest Common Factor

We found the factors 86,72,35 . The biggest common factor number is the GCF number.
So the greatest common factor 86,72,35 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 123/86, 153/72, 578/35

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 123/86, 153/72, 578/35?

Answer: LCM of Numerators as per given numbers 123/86, 153/72, 578/35 is

LCM of Numerators i.e. for 123,153,578 is 213282

GCF of denominators i.e. for 86,72,35 is 1.

Thus, LCM of Fractions is 213282.Finally, LCM of Fractions for 123/86, 153/72, 578/35 is 213282.