Least Common Multiple of 761/46, 720/4828

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 761/46, 720/4828 quickly i.e. 273960 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 761/46, 720/4828 is 273960.

LCM(761/46, 720/4828) = 273960

LCM of 761/46, 720/4828

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 761/46,720/4828

Given numbers are 761/46,720/4828

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 761,720

Least Common Multiple of Numerators i.e. LCM of 761,720 is 547920.

GCF of Denominators means GCF of 46,4828 as per the given fractions.

GCF of 46,4828 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 761,720

LCM of Fractions 761/46,720/4828 is 273960

Given numbers has no common factors except 1. So, there LCM is their product i.e 547920

Least Common Multiple of 761,720 with GCF Formula

Least Common Multiple of 761,720 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 761,720 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(761,720) = 1

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

GCF(761,720) x common factors =1 x 1 = 1

LCM(761,720) = ( 761 × 720 ) / 1

LCM(761,720) = 547920 / 1

LCM(761,720) = 547920


Lets's calculate GCF of 46,4828

2 46, 4828
23, 2414

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 547920/2

Therefore the LCM of Fractions 761/46,720/4828 is 273960

Greatest Common Factor of 46,4828 By Matching Biggest Common Factor Method

Greatest Common Factor of 46,4828 By Matching Biggest Common Factor Method

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 4828

List of positive integer factors of 4828 that divides 4828 without a remainder.

1,2,4,17,34,68,71,142,284,1207,2414,4828

Greatest Common Factor

We found the factors 46,4828 . The biggest common factor number is the GCF number.
So the greatest common factor 46,4828 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 761/46, 720/4828

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 761/46, 720/4828?

Answer: LCM of Numerators as per given numbers 761/46, 720/4828 is

LCM of Numerators i.e. for 761,720 is 547920

GCF of denominators i.e. for 46,4828 is 2.

Thus, LCM of Fractions is 273960.Finally, LCM of Fractions for 761/46, 720/4828 is 273960.