Least Common Multiple of 53/68, 714/72, 510/710

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 53/68, 714/72, 510/710 quickly i.e. 94605 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 53/68, 714/72, 510/710 is 94605.

LCM(53/68, 714/72, 510/710) = 94605

LCM of 53/68, 714/72, 510/710

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 53/68,714/72,510/710

Given numbers are 53/68,714/72,510/710

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 53,714,510

Least Common Multiple of Numerators i.e. LCM of 53,714,510 is 189210.

GCF of Denominators means GCF of 68,72,710 as per the given fractions.

GCF of 68,72,710 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 53,714,510

LCM of Fractions 53/68,714/72,510/710 is 94605

2 53, 714, 510
3 53, 357, 255
17 53, 119, 85
53, 7, 5

∴ So the LCM of the given numbers is 2 x 3 x 17 x 53 x 7 x 5 = 189210

Least Common Multiple of 53,714,510 with GCF Formula

Least Common Multiple of 53,714,510 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 53,714,510 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,714,510) = 1

common factors(in case of two or more numbers have common factors) = 102

GCF(53,714,510) x common factors =1 x 102 = 102

LCM(53,714,510) = ( 53 × 714 × 510 ) / 102

LCM(53,714,510) = 19299420 / 102

LCM(53,714,510) = 189210


Lets's calculate GCF of 68,72,710

2 68, 72, 710
34, 36, 355

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 189210/2

Therefore the LCM of Fractions 53/68,714/72,510/710 is 94605

Greatest Common Factor of 68,72,710 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,72,710 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 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 710

List of positive integer factors of 710 that divides 710 without a remainder.

1,2,5,10,71,142,355,710

Greatest Common Factor

We found the factors 68,72,710 . The biggest common factor number is the GCF number.
So the greatest common factor 68,72,710 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 53/68, 714/72, 510/710

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 53/68, 714/72, 510/710?

Answer: LCM of Numerators as per given numbers 53/68, 714/72, 510/710 is

LCM of Numerators i.e. for 53,714,510 is 189210

GCF of denominators i.e. for 68,72,710 is 2.

Thus, LCM of Fractions is 94605.Finally, LCM of Fractions for 53/68, 714/72, 510/710 is 94605.