Least Common Multiple of 51/76, 597/14, 674/168

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 51/76, 597/14, 674/168 quickly i.e. 3420213 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 51/76, 597/14, 674/168 is 3420213.

LCM(51/76, 597/14, 674/168) = 3420213

LCM of 51/76, 597/14, 674/168

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 51/76,597/14,674/168

Given numbers are 51/76,597/14,674/168

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 51,597,674

Least Common Multiple of Numerators i.e. LCM of 51,597,674 is 6840426.

GCF of Denominators means GCF of 76,14,168 as per the given fractions.

GCF of 76,14,168 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 51,597,674

LCM of Fractions 51/76,597/14,674/168 is 3420213

3 51, 597, 674
17, 199, 674

∴ So the LCM of the given numbers is 3 x 17 x 199 x 674 = 6840426

Least Common Multiple of 51,597,674 with GCF Formula

Least Common Multiple of 51,597,674 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 51,597,674 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,597,674) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(51,597,674) x common factors =1 x 3 = 3

LCM(51,597,674) = ( 51 × 597 × 674 ) / 3

LCM(51,597,674) = 20521278 / 3

LCM(51,597,674) = 6840426


Lets's calculate GCF of 76,14,168

2 76, 14, 168
38, 7, 84

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6840426/2

Therefore the LCM of Fractions 51/76,597/14,674/168 is 3420213

Greatest Common Factor of 76,14,168 By Matching Biggest Common Factor Method

Greatest Common Factor of 76,14,168 By Matching Biggest Common Factor Method

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 168

List of positive integer factors of 168 that divides 168 without a remainder.

1,2,3,4,6,7,8,12,14,21,24,28,42,56,84,168

Greatest Common Factor

We found the factors 76,14,168 . The biggest common factor number is the GCF number.
So the greatest common factor 76,14,168 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 51/76, 597/14, 674/168

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 51/76, 597/14, 674/168?

Answer: LCM of Numerators as per given numbers 51/76, 597/14, 674/168 is

LCM of Numerators i.e. for 51,597,674 is 6840426

GCF of denominators i.e. for 76,14,168 is 2.

Thus, LCM of Fractions is 3420213.Finally, LCM of Fractions for 51/76, 597/14, 674/168 is 3420213.