Least Common Multiple of 610/76, 376/4694

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 610/76, 376/4694 quickly i.e. 57340 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 610/76, 376/4694 is 57340.

LCM(610/76, 376/4694) = 57340

LCM of 610/76, 376/4694

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 610/76,376/4694

Given numbers are 610/76,376/4694

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 610,376

Least Common Multiple of Numerators i.e. LCM of 610,376 is 114680.

GCF of Denominators means GCF of 76,4694 as per the given fractions.

GCF of 76,4694 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 610,376

LCM of Fractions 610/76,376/4694 is 57340

2 610, 376
305, 188

∴ So the LCM of the given numbers is 2 x 305 x 188 = 114680

Least Common Multiple of 610,376 with GCF Formula

Least Common Multiple of 610,376 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 610,376 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(610,376) = 2

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

GCF(610,376) x common factors =2 x 1 = 2

LCM(610,376) = ( 610 × 376 ) / 2

LCM(610,376) = 229360 / 2

LCM(610,376) = 114680


Lets's calculate GCF of 76,4694

2 76, 4694
38, 2347

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 114680/2

Therefore the LCM of Fractions 610/76,376/4694 is 57340

Greatest Common Factor of 76,4694 By Matching Biggest Common Factor Method

Greatest Common Factor of 76,4694 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 4694

List of positive integer factors of 4694 that divides 4694 without a remainder.

1,2,2347,4694

Greatest Common Factor

We found the factors 76,4694 . The biggest common factor number is the GCF number.
So the greatest common factor 76,4694 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 610/76, 376/4694

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 610/76, 376/4694?

Answer: LCM of Numerators as per given numbers 610/76, 376/4694 is

LCM of Numerators i.e. for 610,376 is 114680

GCF of denominators i.e. for 76,4694 is 2.

Thus, LCM of Fractions is 57340.Finally, LCM of Fractions for 610/76, 376/4694 is 57340.