Least Common Multiple of 736/175, 119/805, 422/578

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 736/175, 119/805, 422/578 quickly i.e. 18480224 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 736/175, 119/805, 422/578 is 18480224.

LCM(736/175, 119/805, 422/578) = 18480224

LCM of 736/175, 119/805, 422/578

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 736/175,119/805,422/578

Given numbers are 736/175,119/805,422/578

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 736,119,422

Least Common Multiple of Numerators i.e. LCM of 736,119,422 is 18480224.

GCF of Denominators means GCF of 175,805,578 as per the given fractions.

GCF of 175,805,578 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 736,119,422

LCM of Fractions 736/175,119/805,422/578 is 18480224

2 736, 119, 422
368, 119, 211

∴ So the LCM of the given numbers is 2 x 368 x 119 x 211 = 18480224

Least Common Multiple of 736,119,422 with GCF Formula

Least Common Multiple of 736,119,422 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 736,119,422 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(736,119,422) = 1

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

GCF(736,119,422) x common factors =1 x 2 = 2

LCM(736,119,422) = ( 736 × 119 × 422 ) / 2

LCM(736,119,422) = 36960448 / 2

LCM(736,119,422) = 18480224


Lets's calculate GCF of 175,805,578

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18480224/1

Therefore the LCM of Fractions 736/175,119/805,422/578 is 18480224

Greatest Common Factor of 175,805,578 By Matching Biggest Common Factor Method

Greatest Common Factor of 175,805,578 By Matching Biggest Common Factor Method

Factors of 175

List of positive integer factors of 175 that divides 175 without a remainder.

1,5,7,25,35,175

Factors of 805

List of positive integer factors of 805 that divides 805 without a remainder.

1,5,7,23,35,115,161,805

Factors of 578

List of positive integer factors of 578 that divides 578 without a remainder.

1,2,17,34,289,578

Greatest Common Factor

We found the factors 175,805,578 . The biggest common factor number is the GCF number.
So the greatest common factor 175,805,578 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 736/175, 119/805, 422/578

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 736/175, 119/805, 422/578?

Answer: LCM of Numerators as per given numbers 736/175, 119/805, 422/578 is

LCM of Numerators i.e. for 736,119,422 is 18480224

GCF of denominators i.e. for 175,805,578 is 1.

Thus, LCM of Fractions is 18480224.Finally, LCM of Fractions for 736/175, 119/805, 422/578 is 18480224.