Least Common Multiple of 72/68, 76/70, 510/373

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 72/68, 76/70, 510/373 quickly i.e. 116280 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 72/68, 76/70, 510/373 is 116280.

LCM(72/68, 76/70, 510/373) = 116280

LCM of 72/68, 76/70, 510/373

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 72/68,76/70,510/373

Given numbers are 72/68,76/70,510/373

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 72,76,510

Least Common Multiple of Numerators i.e. LCM of 72,76,510 is 116280.

GCF of Denominators means GCF of 68,70,373 as per the given fractions.

GCF of 68,70,373 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 72,76,510

LCM of Fractions 72/68,76/70,510/373 is 116280

2 72, 76, 510
2 36, 38, 255
3 18, 19, 255
6, 19, 85

∴ So the LCM of the given numbers is 2 x 2 x 3 x 6 x 19 x 85 = 116280

Least Common Multiple of 72,76,510 with GCF Formula

Least Common Multiple of 72,76,510 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 72,76,510 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,76,510) = 2

common factors(in case of two or more numbers have common factors) = 12

GCF(72,76,510) x common factors =2 x 12 = 24

LCM(72,76,510) = ( 72 × 76 × 510 ) / 24

LCM(72,76,510) = 2790720 / 24

LCM(72,76,510) = 116280


Lets's calculate GCF of 68,70,373

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 116280/1

Therefore the LCM of Fractions 72/68,76/70,510/373 is 116280

Greatest Common Factor of 68,70,373 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,70,373 By Matching Biggest Common Factor Method

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 373

List of positive integer factors of 373 that divides 373 without a remainder.

1,373

Greatest Common Factor

We found the factors 68,70,373 . The biggest common factor number is the GCF number.
So the greatest common factor 68,70,373 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 72/68, 76/70, 510/373

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 72/68, 76/70, 510/373?

Answer: LCM of Numerators as per given numbers 72/68, 76/70, 510/373 is

LCM of Numerators i.e. for 72,76,510 is 116280

GCF of denominators i.e. for 68,70,373 is 1.

Thus, LCM of Fractions is 116280.Finally, LCM of Fractions for 72/68, 76/70, 510/373 is 116280.