Least Common Multiple of 530/42, 501/79, 176/318

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 530/42, 501/79, 176/318 quickly i.e. 23366640 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 530/42, 501/79, 176/318 is 23366640.

LCM(530/42, 501/79, 176/318) = 23366640

LCM of 530/42, 501/79, 176/318

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 530/42,501/79,176/318

Given numbers are 530/42,501/79,176/318

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 530,501,176

Least Common Multiple of Numerators i.e. LCM of 530,501,176 is 23366640.

GCF of Denominators means GCF of 42,79,318 as per the given fractions.

GCF of 42,79,318 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 530,501,176

LCM of Fractions 530/42,501/79,176/318 is 23366640

2 530, 501, 176
265, 501, 88

∴ So the LCM of the given numbers is 2 x 265 x 501 x 88 = 23366640

Least Common Multiple of 530,501,176 with GCF Formula

Least Common Multiple of 530,501,176 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 530,501,176 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(530,501,176) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(530,501,176) x common factors =1 x 2 = 2

LCM(530,501,176) = ( 530 × 501 × 176 ) / 2

LCM(530,501,176) = 46733280 / 2

LCM(530,501,176) = 23366640


Lets's calculate GCF of 42,79,318

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23366640/1

Therefore the LCM of Fractions 530/42,501/79,176/318 is 23366640

Greatest Common Factor of 42,79,318 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,79,318 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 79

List of positive integer factors of 79 that divides 79 without a remainder.

1,79

Factors of 318

List of positive integer factors of 318 that divides 318 without a remainder.

1,2,3,6,53,106,159,318

Greatest Common Factor

We found the factors 42,79,318 . The biggest common factor number is the GCF number.
So the greatest common factor 42,79,318 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 530/42, 501/79, 176/318

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 530/42, 501/79, 176/318?

Answer: LCM of Numerators as per given numbers 530/42, 501/79, 176/318 is

LCM of Numerators i.e. for 530,501,176 is 23366640

GCF of denominators i.e. for 42,79,318 is 1.

Thus, LCM of Fractions is 23366640.Finally, LCM of Fractions for 530/42, 501/79, 176/318 is 23366640.