Least Common Multiple of 763/96, 780/94, 230/510

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 763/96, 780/94, 230/510 quickly i.e. 6844110 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 763/96, 780/94, 230/510 is 6844110.

LCM(763/96, 780/94, 230/510) = 6844110

LCM of 763/96, 780/94, 230/510

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 763/96,780/94,230/510

Given numbers are 763/96,780/94,230/510

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 763,780,230

Least Common Multiple of Numerators i.e. LCM of 763,780,230 is 13688220.

GCF of Denominators means GCF of 96,94,510 as per the given fractions.

GCF of 96,94,510 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 763,780,230

LCM of Fractions 763/96,780/94,230/510 is 6844110

2 763, 780, 230
5 763, 390, 115
763, 78, 23

∴ So the LCM of the given numbers is 2 x 5 x 763 x 78 x 23 = 13688220

Least Common Multiple of 763,780,230 with GCF Formula

Least Common Multiple of 763,780,230 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 763,780,230 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(763,780,230) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(763,780,230) x common factors =1 x 10 = 10

LCM(763,780,230) = ( 763 × 780 × 230 ) / 10

LCM(763,780,230) = 136882200 / 10

LCM(763,780,230) = 13688220


Lets's calculate GCF of 96,94,510

2 96, 94, 510
48, 47, 255

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13688220/2

Therefore the LCM of Fractions 763/96,780/94,230/510 is 6844110

Greatest Common Factor of 96,94,510 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,94,510 By Matching Biggest Common Factor Method

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 94

List of positive integer factors of 94 that divides 94 without a remainder.

1,2,47,94

Factors of 510

List of positive integer factors of 510 that divides 510 without a remainder.

1,2,3,5,6,10,15,17,30,34,51,85,102,170,255,510

Greatest Common Factor

We found the factors 96,94,510 . The biggest common factor number is the GCF number.
So the greatest common factor 96,94,510 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 763/96, 780/94, 230/510

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 763/96, 780/94, 230/510?

Answer: LCM of Numerators as per given numbers 763/96, 780/94, 230/510 is

LCM of Numerators i.e. for 763,780,230 is 13688220

GCF of denominators i.e. for 96,94,510 is 2.

Thus, LCM of Fractions is 6844110.Finally, LCM of Fractions for 763/96, 780/94, 230/510 is 6844110.