Least Common Multiple of 744/379, 320/758

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 744/379, 320/758 quickly i.e. 29760/379 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 744/379, 320/758 is 29760/379.

LCM(744/379, 320/758) = 29760/379

LCM of 744/379, 320/758

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 744/379,320/758

Given numbers are 744/379,320/758

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 744,320

Least Common Multiple of Numerators i.e. LCM of 744,320 is 29760.

GCF of Denominators means GCF of 379,758 as per the given fractions.

GCF of 379,758 is 379 as it is the largest common factor for these numbers.

Lets's calculate LCM of 744,320

LCM of Fractions 744/379,320/758 is 29760/379

2 744, 320
2 372, 160
2 186, 80
93, 40

∴ So the LCM of the given numbers is 2 x 2 x 2 x 93 x 40 = 29760

Least Common Multiple of 744,320 with GCF Formula

Least Common Multiple of 744,320 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 744,320 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(744,320) = 8

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

GCF(744,320) x common factors =8 x 1 = 8

LCM(744,320) = ( 744 × 320 ) / 8

LCM(744,320) = 238080 / 8

LCM(744,320) = 29760


Lets's calculate GCF of 379,758

379 379, 758
1, 2

∴ So the GCF of the given numbers is 379 = 379

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29760/379

Therefore the LCM of Fractions 744/379,320/758 is 29760/379

Greatest Common Factor of 379,758 By Matching Biggest Common Factor Method

Greatest Common Factor of 379,758 By Matching Biggest Common Factor Method

Factors of 379

List of positive integer factors of 379 that divides 379 without a remainder.

1,379

Factors of 758

List of positive integer factors of 758 that divides 758 without a remainder.

1,2,379,758

Greatest Common Factor

We found the factors 379,758 . The biggest common factor number is the GCF number.
So the greatest common factor 379,758 is 379.


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 744/379, 320/758

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 744/379, 320/758?

Answer: LCM of Numerators as per given numbers 744/379, 320/758 is

LCM of Numerators i.e. for 744,320 is 29760

GCF of denominators i.e. for 379,758 is 379.

Thus, LCM of Fractions is 29760/379.Finally, LCM of Fractions for 744/379, 320/758 is 29760/379.