Least Common Multiple of 75/452, 926/858, 358/326

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 75/452, 926/858, 358/326 quickly i.e. 6215775 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 75/452, 926/858, 358/326 is 6215775.

LCM(75/452, 926/858, 358/326) = 6215775

LCM of 75/452, 926/858, 358/326

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 75/452,926/858,358/326

Given numbers are 75/452,926/858,358/326

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 75,926,358

Least Common Multiple of Numerators i.e. LCM of 75,926,358 is 12431550.

GCF of Denominators means GCF of 452,858,326 as per the given fractions.

GCF of 452,858,326 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 75,926,358

LCM of Fractions 75/452,926/858,358/326 is 6215775

2 75, 926, 358
75, 463, 179

∴ So the LCM of the given numbers is 2 x 75 x 463 x 179 = 12431550

Least Common Multiple of 75,926,358 with GCF Formula

Least Common Multiple of 75,926,358 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 75,926,358 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,926,358) = 1

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

GCF(75,926,358) x common factors =1 x 2 = 2

LCM(75,926,358) = ( 75 × 926 × 358 ) / 2

LCM(75,926,358) = 24863100 / 2

LCM(75,926,358) = 12431550


Lets's calculate GCF of 452,858,326

2 452, 858, 326
226, 429, 163

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12431550/2

Therefore the LCM of Fractions 75/452,926/858,358/326 is 6215775

Greatest Common Factor of 452,858,326 By Matching Biggest Common Factor Method

Greatest Common Factor of 452,858,326 By Matching Biggest Common Factor Method

Factors of 452

List of positive integer factors of 452 that divides 452 without a remainder.

1,2,4,113,226,452

Factors of 858

List of positive integer factors of 858 that divides 858 without a remainder.

1,2,3,6,11,13,22,26,33,39,66,78,143,286,429,858

Factors of 326

List of positive integer factors of 326 that divides 326 without a remainder.

1,2,163,326

Greatest Common Factor

We found the factors 452,858,326 . The biggest common factor number is the GCF number.
So the greatest common factor 452,858,326 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 75/452, 926/858, 358/326

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 75/452, 926/858, 358/326?

Answer: LCM of Numerators as per given numbers 75/452, 926/858, 358/326 is

LCM of Numerators i.e. for 75,926,358 is 12431550

GCF of denominators i.e. for 452,858,326 is 2.

Thus, LCM of Fractions is 6215775.Finally, LCM of Fractions for 75/452, 926/858, 358/326 is 6215775.