Least Common Multiple of 492/78, 4695/359

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 492/78, 4695/359 quickly i.e. 769980 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 492/78, 4695/359 is 769980.

LCM(492/78, 4695/359) = 769980

LCM of 492/78, 4695/359

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 492/78,4695/359

Given numbers are 492/78,4695/359

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 492,4695

Least Common Multiple of Numerators i.e. LCM of 492,4695 is 769980.

GCF of Denominators means GCF of 78,359 as per the given fractions.

GCF of 78,359 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 492,4695

LCM of Fractions 492/78,4695/359 is 769980

3 492, 4695
164, 1565

∴ So the LCM of the given numbers is 3 x 164 x 1565 = 769980

Least Common Multiple of 492,4695 with GCF Formula

Least Common Multiple of 492,4695 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 492,4695 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(492,4695) = 3

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

GCF(492,4695) x common factors =3 x 1 = 3

LCM(492,4695) = ( 492 × 4695 ) / 3

LCM(492,4695) = 2309940 / 3

LCM(492,4695) = 769980


Lets's calculate GCF of 78,359

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 769980/1

Therefore the LCM of Fractions 492/78,4695/359 is 769980

Greatest Common Factor of 78,359 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,359 By Matching Biggest Common Factor Method

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 359

List of positive integer factors of 359 that divides 359 without a remainder.

1,359

Greatest Common Factor

We found the factors 78,359 . The biggest common factor number is the GCF number.
So the greatest common factor 78,359 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 492/78, 4695/359

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 492/78, 4695/359?

Answer: LCM of Numerators as per given numbers 492/78, 4695/359 is

LCM of Numerators i.e. for 492,4695 is 769980

GCF of denominators i.e. for 78,359 is 1.

Thus, LCM of Fractions is 769980.Finally, LCM of Fractions for 492/78, 4695/359 is 769980.