Least Common Multiple of 456/754, 720/619

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 456/754, 720/619 quickly i.e. 13680 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 456/754, 720/619 is 13680.

LCM(456/754, 720/619) = 13680

LCM of 456/754, 720/619

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 456/754,720/619

Given numbers are 456/754,720/619

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 456,720

Least Common Multiple of Numerators i.e. LCM of 456,720 is 13680.

GCF of Denominators means GCF of 754,619 as per the given fractions.

GCF of 754,619 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 456,720

LCM of Fractions 456/754,720/619 is 13680

2 456, 720
2 228, 360
2 114, 180
3 57, 90
19, 30

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 19 x 30 = 13680

Least Common Multiple of 456,720 with GCF Formula

Least Common Multiple of 456,720 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 456,720 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(456,720) = 24

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

GCF(456,720) x common factors =24 x 1 = 24

LCM(456,720) = ( 456 × 720 ) / 24

LCM(456,720) = 328320 / 24

LCM(456,720) = 13680


Lets's calculate GCF of 754,619

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13680/1

Therefore the LCM of Fractions 456/754,720/619 is 13680

Greatest Common Factor of 754,619 By Matching Biggest Common Factor Method

Greatest Common Factor of 754,619 By Matching Biggest Common Factor Method

Factors of 754

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

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

Factors of 619

List of positive integer factors of 619 that divides 619 without a remainder.

1,619

Greatest Common Factor

We found the factors 754,619 . The biggest common factor number is the GCF number.
So the greatest common factor 754,619 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 456/754, 720/619

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 456/754, 720/619?

Answer: LCM of Numerators as per given numbers 456/754, 720/619 is

LCM of Numerators i.e. for 456,720 is 13680

GCF of denominators i.e. for 754,619 is 1.

Thus, LCM of Fractions is 13680.Finally, LCM of Fractions for 456/754, 720/619 is 13680.