Least Common Multiple of 82/688, 79/242, 190/510

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 82/688, 79/242, 190/510 quickly i.e. 307705 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 82/688, 79/242, 190/510 is 307705.

LCM(82/688, 79/242, 190/510) = 307705

LCM of 82/688, 79/242, 190/510

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 82/688,79/242,190/510

Given numbers are 82/688,79/242,190/510

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 82,79,190

Least Common Multiple of Numerators i.e. LCM of 82,79,190 is 615410.

GCF of Denominators means GCF of 688,242,510 as per the given fractions.

GCF of 688,242,510 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 82,79,190

LCM of Fractions 82/688,79/242,190/510 is 307705

2 82, 79, 190
41, 79, 95

∴ So the LCM of the given numbers is 2 x 41 x 79 x 95 = 615410

Least Common Multiple of 82,79,190 with GCF Formula

Least Common Multiple of 82,79,190 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 82,79,190 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,79,190) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(82,79,190) x common factors =1 x 2 = 2

LCM(82,79,190) = ( 82 × 79 × 190 ) / 2

LCM(82,79,190) = 1230820 / 2

LCM(82,79,190) = 615410


Lets's calculate GCF of 688,242,510

2 688, 242, 510
344, 121, 255

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 615410/2

Therefore the LCM of Fractions 82/688,79/242,190/510 is 307705

Greatest Common Factor of 688,242,510 By Matching Biggest Common Factor Method

Greatest Common Factor of 688,242,510 By Matching Biggest Common Factor Method

Factors of 688

List of positive integer factors of 688 that divides 688 without a remainder.

1,2,4,8,16,43,86,172,344,688

Factors of 242

List of positive integer factors of 242 that divides 242 without a remainder.

1,2,11,22,121,242

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 688,242,510 . The biggest common factor number is the GCF number.
So the greatest common factor 688,242,510 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 82/688, 79/242, 190/510

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 82/688, 79/242, 190/510?

Answer: LCM of Numerators as per given numbers 82/688, 79/242, 190/510 is

LCM of Numerators i.e. for 82,79,190 is 615410

GCF of denominators i.e. for 688,242,510 is 2.

Thus, LCM of Fractions is 307705.Finally, LCM of Fractions for 82/688, 79/242, 190/510 is 307705.