Least Common Multiple of 35/356, 204/124, 574/530

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 35/356, 204/124, 574/530 quickly i.e. 146370 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 35/356, 204/124, 574/530 is 146370.

LCM(35/356, 204/124, 574/530) = 146370

LCM of 35/356, 204/124, 574/530

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 35/356,204/124,574/530

Given numbers are 35/356,204/124,574/530

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 35,204,574

Least Common Multiple of Numerators i.e. LCM of 35,204,574 is 292740.

GCF of Denominators means GCF of 356,124,530 as per the given fractions.

GCF of 356,124,530 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 35,204,574

LCM of Fractions 35/356,204/124,574/530 is 146370

2 35, 204, 574
7 35, 102, 287
5, 102, 41

∴ So the LCM of the given numbers is 2 x 7 x 5 x 102 x 41 = 292740

Least Common Multiple of 35,204,574 with GCF Formula

Least Common Multiple of 35,204,574 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 35,204,574 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,204,574) = 1

common factors(in case of two or more numbers have common factors) = 14

GCF(35,204,574) x common factors =1 x 14 = 14

LCM(35,204,574) = ( 35 × 204 × 574 ) / 14

LCM(35,204,574) = 4098360 / 14

LCM(35,204,574) = 292740


Lets's calculate GCF of 356,124,530

2 356, 124, 530
178, 62, 265

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 292740/2

Therefore the LCM of Fractions 35/356,204/124,574/530 is 146370

Greatest Common Factor of 356,124,530 By Matching Biggest Common Factor Method

Greatest Common Factor of 356,124,530 By Matching Biggest Common Factor Method

Factors of 356

List of positive integer factors of 356 that divides 356 without a remainder.

1,2,4,89,178,356

Factors of 124

List of positive integer factors of 124 that divides 124 without a remainder.

1,2,4,31,62,124

Factors of 530

List of positive integer factors of 530 that divides 530 without a remainder.

1,2,5,10,53,106,265,530

Greatest Common Factor

We found the factors 356,124,530 . The biggest common factor number is the GCF number.
So the greatest common factor 356,124,530 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 35/356, 204/124, 574/530

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 35/356, 204/124, 574/530?

Answer: LCM of Numerators as per given numbers 35/356, 204/124, 574/530 is

LCM of Numerators i.e. for 35,204,574 is 292740

GCF of denominators i.e. for 356,124,530 is 2.

Thus, LCM of Fractions is 146370.Finally, LCM of Fractions for 35/356, 204/124, 574/530 is 146370.