Least Common Multiple of 52/115, 93/424, 690/653

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 52/115, 93/424, 690/653 quickly i.e. 556140 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 52/115, 93/424, 690/653 is 556140.

LCM(52/115, 93/424, 690/653) = 556140

LCM of 52/115, 93/424, 690/653

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 52/115,93/424,690/653

Given numbers are 52/115,93/424,690/653

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 52,93,690

Least Common Multiple of Numerators i.e. LCM of 52,93,690 is 556140.

GCF of Denominators means GCF of 115,424,653 as per the given fractions.

GCF of 115,424,653 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 52,93,690

LCM of Fractions 52/115,93/424,690/653 is 556140

2 52, 93, 690
3 26, 93, 345
26, 31, 115

∴ So the LCM of the given numbers is 2 x 3 x 26 x 31 x 115 = 556140

Least Common Multiple of 52,93,690 with GCF Formula

Least Common Multiple of 52,93,690 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 52,93,690 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,93,690) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(52,93,690) x common factors =1 x 6 = 6

LCM(52,93,690) = ( 52 × 93 × 690 ) / 6

LCM(52,93,690) = 3336840 / 6

LCM(52,93,690) = 556140


Lets's calculate GCF of 115,424,653

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 556140/1

Therefore the LCM of Fractions 52/115,93/424,690/653 is 556140

Greatest Common Factor of 115,424,653 By Matching Biggest Common Factor Method

Greatest Common Factor of 115,424,653 By Matching Biggest Common Factor Method

Factors of 115

List of positive integer factors of 115 that divides 115 without a remainder.

1,5,23,115

Factors of 424

List of positive integer factors of 424 that divides 424 without a remainder.

1,2,4,8,53,106,212,424

Factors of 653

List of positive integer factors of 653 that divides 653 without a remainder.

1,653

Greatest Common Factor

We found the factors 115,424,653 . The biggest common factor number is the GCF number.
So the greatest common factor 115,424,653 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 52/115, 93/424, 690/653

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 52/115, 93/424, 690/653?

Answer: LCM of Numerators as per given numbers 52/115, 93/424, 690/653 is

LCM of Numerators i.e. for 52,93,690 is 556140

GCF of denominators i.e. for 115,424,653 is 1.

Thus, LCM of Fractions is 556140.Finally, LCM of Fractions for 52/115, 93/424, 690/653 is 556140.