Least Common Multiple of 51/368, 66/498, 714/523

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 51/368, 66/498, 714/523 quickly i.e. 7854 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 51/368, 66/498, 714/523 is 7854.

LCM(51/368, 66/498, 714/523) = 7854

LCM of 51/368, 66/498, 714/523

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 51/368,66/498,714/523

Given numbers are 51/368,66/498,714/523

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 51,66,714

Least Common Multiple of Numerators i.e. LCM of 51,66,714 is 7854.

GCF of Denominators means GCF of 368,498,523 as per the given fractions.

GCF of 368,498,523 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 51,66,714

LCM of Fractions 51/368,66/498,714/523 is 7854

2 51, 66, 714
3 51, 33, 357
17 17, 11, 119
1, 11, 7

∴ So the LCM of the given numbers is 2 x 3 x 17 x 1 x 11 x 7 = 7854

Least Common Multiple of 51,66,714 with GCF Formula

Least Common Multiple of 51,66,714 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 51,66,714 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,66,714) = 3

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

GCF(51,66,714) x common factors =3 x 102 = 306

LCM(51,66,714) = ( 51 × 66 × 714 ) / 306

LCM(51,66,714) = 2403324 / 306

LCM(51,66,714) = 7854


Lets's calculate GCF of 368,498,523

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7854/1

Therefore the LCM of Fractions 51/368,66/498,714/523 is 7854

Greatest Common Factor of 368,498,523 By Matching Biggest Common Factor Method

Greatest Common Factor of 368,498,523 By Matching Biggest Common Factor Method

Factors of 368

List of positive integer factors of 368 that divides 368 without a remainder.

1,2,4,8,16,23,46,92,184,368

Factors of 498

List of positive integer factors of 498 that divides 498 without a remainder.

1,2,3,6,83,166,249,498

Factors of 523

List of positive integer factors of 523 that divides 523 without a remainder.

1,523

Greatest Common Factor

We found the factors 368,498,523 . The biggest common factor number is the GCF number.
So the greatest common factor 368,498,523 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 51/368, 66/498, 714/523

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 51/368, 66/498, 714/523?

Answer: LCM of Numerators as per given numbers 51/368, 66/498, 714/523 is

LCM of Numerators i.e. for 51,66,714 is 7854

GCF of denominators i.e. for 368,498,523 is 1.

Thus, LCM of Fractions is 7854.Finally, LCM of Fractions for 51/368, 66/498, 714/523 is 7854.