Least Common Multiple of 920/147, 334/754

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 920/147, 334/754 quickly i.e. 153640 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 920/147, 334/754 is 153640.

LCM(920/147, 334/754) = 153640

LCM of 920/147, 334/754

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 920/147,334/754

Given numbers are 920/147,334/754

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 920,334

Least Common Multiple of Numerators i.e. LCM of 920,334 is 153640.

GCF of Denominators means GCF of 147,754 as per the given fractions.

GCF of 147,754 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 920,334

LCM of Fractions 920/147,334/754 is 153640

2 920, 334
460, 167

∴ So the LCM of the given numbers is 2 x 460 x 167 = 153640

Least Common Multiple of 920,334 with GCF Formula

Least Common Multiple of 920,334 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 920,334 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(920,334) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(920,334) x common factors =2 x 1 = 2

LCM(920,334) = ( 920 × 334 ) / 2

LCM(920,334) = 307280 / 2

LCM(920,334) = 153640


Lets's calculate GCF of 147,754

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 153640/1

Therefore the LCM of Fractions 920/147,334/754 is 153640

Greatest Common Factor of 147,754 By Matching Biggest Common Factor Method

Greatest Common Factor of 147,754 By Matching Biggest Common Factor Method

Factors of 147

List of positive integer factors of 147 that divides 147 without a remainder.

1,3,7,21,49,147

Factors of 754

List of positive integer factors of 754 that divides 754 without a remainder.

1,2,13,26,29,58,377,754

Greatest Common Factor

We found the factors 147,754 . The biggest common factor number is the GCF number.
So the greatest common factor 147,754 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 920/147, 334/754

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 920/147, 334/754?

Answer: LCM of Numerators as per given numbers 920/147, 334/754 is

LCM of Numerators i.e. for 920,334 is 153640

GCF of denominators i.e. for 147,754 is 1.

Thus, LCM of Fractions is 153640.Finally, LCM of Fractions for 920/147, 334/754 is 153640.