Least Common Multiple of 4968/762, 3113/460

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4968/762, 3113/460 quickly i.e. 7732692 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4968/762, 3113/460 is 7732692.

LCM(4968/762, 3113/460) = 7732692

LCM of 4968/762, 3113/460

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 4968/762,3113/460

Given numbers are 4968/762,3113/460

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 4968,3113

Least Common Multiple of Numerators i.e. LCM of 4968,3113 is 15465384.

GCF of Denominators means GCF of 762,460 as per the given fractions.

GCF of 762,460 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4968,3113

LCM of Fractions 4968/762,3113/460 is 7732692

Given numbers has no common factors except 1. So, there LCM is their product i.e 15465384

Least Common Multiple of 4968,3113 with GCF Formula

Least Common Multiple of 4968,3113 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 4968,3113 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4968,3113) = 1

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

GCF(4968,3113) x common factors =1 x 1 = 1

LCM(4968,3113) = ( 4968 × 3113 ) / 1

LCM(4968,3113) = 15465384 / 1

LCM(4968,3113) = 15465384


Lets's calculate GCF of 762,460

2 762, 460
381, 230

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15465384/2

Therefore the LCM of Fractions 4968/762,3113/460 is 7732692

Greatest Common Factor of 762,460 By Matching Biggest Common Factor Method

Greatest Common Factor of 762,460 By Matching Biggest Common Factor Method

Factors of 762

List of positive integer factors of 762 that divides 762 without a remainder.

1,2,3,6,127,254,381,762

Factors of 460

List of positive integer factors of 460 that divides 460 without a remainder.

1,2,4,5,10,20,23,46,92,115,230,460

Greatest Common Factor

We found the factors 762,460 . The biggest common factor number is the GCF number.
So the greatest common factor 762,460 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 4968/762, 3113/460

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 4968/762, 3113/460?

Answer: LCM of Numerators as per given numbers 4968/762, 3113/460 is

LCM of Numerators i.e. for 4968,3113 is 15465384

GCF of denominators i.e. for 762,460 is 2.

Thus, LCM of Fractions is 7732692.Finally, LCM of Fractions for 4968/762, 3113/460 is 7732692.