Least Common Multiple of 456/76, 3320/718

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 456/76, 3320/718 quickly i.e. 94620 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 456/76, 3320/718 is 94620.

LCM(456/76, 3320/718) = 94620

LCM of 456/76, 3320/718

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 456/76,3320/718

Given numbers are 456/76,3320/718

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 456,3320

Least Common Multiple of Numerators i.e. LCM of 456,3320 is 189240.

GCF of Denominators means GCF of 76,718 as per the given fractions.

GCF of 76,718 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 456,3320

LCM of Fractions 456/76,3320/718 is 94620

2 456, 3320
2 228, 1660
2 114, 830
57, 415

∴ So the LCM of the given numbers is 2 x 2 x 2 x 57 x 415 = 189240

Least Common Multiple of 456,3320 with GCF Formula

Least Common Multiple of 456,3320 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 456,3320 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(456,3320) = 8

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

GCF(456,3320) x common factors =8 x 1 = 8

LCM(456,3320) = ( 456 × 3320 ) / 8

LCM(456,3320) = 1513920 / 8

LCM(456,3320) = 189240


Lets's calculate GCF of 76,718

2 76, 718
38, 359

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 189240/2

Therefore the LCM of Fractions 456/76,3320/718 is 94620

Greatest Common Factor of 76,718 By Matching Biggest Common Factor Method

Greatest Common Factor of 76,718 By Matching Biggest Common Factor Method

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 718

List of positive integer factors of 718 that divides 718 without a remainder.

1,2,359,718

Greatest Common Factor

We found the factors 76,718 . The biggest common factor number is the GCF number.
So the greatest common factor 76,718 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 456/76, 3320/718

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 456/76, 3320/718?

Answer: LCM of Numerators as per given numbers 456/76, 3320/718 is

LCM of Numerators i.e. for 456,3320 is 189240

GCF of denominators i.e. for 76,718 is 2.

Thus, LCM of Fractions is 94620.Finally, LCM of Fractions for 456/76, 3320/718 is 94620.