Least Common Multiple of 763/76, 791/9464

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 763/76, 791/9464 quickly i.e. 86219/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 763/76, 791/9464 is 86219/4.

LCM(763/76, 791/9464) = 86219/4

LCM of 763/76, 791/9464

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 763/76,791/9464

Given numbers are 763/76,791/9464

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 763,791

Least Common Multiple of Numerators i.e. LCM of 763,791 is 86219.

GCF of Denominators means GCF of 76,9464 as per the given fractions.

GCF of 76,9464 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 763,791

LCM of Fractions 763/76,791/9464 is 86219/4

7 763, 791
109, 113

∴ So the LCM of the given numbers is 7 x 109 x 113 = 86219

Least Common Multiple of 763,791 with GCF Formula

Least Common Multiple of 763,791 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 763,791 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(763,791) = 7

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

GCF(763,791) x common factors =7 x 1 = 7

LCM(763,791) = ( 763 × 791 ) / 7

LCM(763,791) = 603533 / 7

LCM(763,791) = 86219


Lets's calculate GCF of 76,9464

2 76, 9464
2 38, 4732
19, 2366

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 86219/4

Therefore the LCM of Fractions 763/76,791/9464 is 86219/4

Greatest Common Factor of 76,9464 By Matching Biggest Common Factor Method

Greatest Common Factor of 76,9464 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 9464

List of positive integer factors of 9464 that divides 9464 without a remainder.

1,2,4,7,8,13,14,26,28,52,56,91,104,169,182,338,364,676,728,1183,1352,2366,4732,9464

Greatest Common Factor

We found the factors 76,9464 . The biggest common factor number is the GCF number.
So the greatest common factor 76,9464 is 4.


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 763/76, 791/9464

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 763/76, 791/9464?

Answer: LCM of Numerators as per given numbers 763/76, 791/9464 is

LCM of Numerators i.e. for 763,791 is 86219

GCF of denominators i.e. for 76,9464 is 4.

Thus, LCM of Fractions is 86219/4.Finally, LCM of Fractions for 763/76, 791/9464 is 86219/4.