Least Common Multiple of 51/762, 2686/3324

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 51/762, 2686/3324 quickly i.e. 1343 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 51/762, 2686/3324 is 1343.

LCM(51/762, 2686/3324) = 1343

LCM of 51/762, 2686/3324

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 51/762,2686/3324

Given numbers are 51/762,2686/3324

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 51,2686

Least Common Multiple of Numerators i.e. LCM of 51,2686 is 8058.

GCF of Denominators means GCF of 762,3324 as per the given fractions.

GCF of 762,3324 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 51,2686

LCM of Fractions 51/762,2686/3324 is 1343

17 51, 2686
3, 158

∴ So the LCM of the given numbers is 17 x 3 x 158 = 8058

Least Common Multiple of 51,2686 with GCF Formula

Least Common Multiple of 51,2686 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 51,2686 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,2686) = 17

common factors(in case of two or more numbers have common factors) = 1

GCF(51,2686) x common factors =17 x 1 = 17

LCM(51,2686) = ( 51 × 2686 ) / 17

LCM(51,2686) = 136986 / 17

LCM(51,2686) = 8058


Lets's calculate GCF of 762,3324

2 762, 3324
3 381, 1662
127, 554

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8058/6

Therefore the LCM of Fractions 51/762,2686/3324 is 1343

Greatest Common Factor of 762,3324 By Matching Biggest Common Factor Method

Greatest Common Factor of 762,3324 By Matching Biggest Common Factor Method

Factors of 762

List of positive integer factors of 762 that divides 762 without a remainder.

1,2,3,6,127,254,381,762

Factors of 3324

List of positive integer factors of 3324 that divides 3324 without a remainder.

1,2,3,4,6,12,277,554,831,1108,1662,3324

Greatest Common Factor

We found the factors 762,3324 . The biggest common factor number is the GCF number.
So the greatest common factor 762,3324 is 6.


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 51/762, 2686/3324

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 51/762, 2686/3324?

Answer: LCM of Numerators as per given numbers 51/762, 2686/3324 is

LCM of Numerators i.e. for 51,2686 is 8058

GCF of denominators i.e. for 762,3324 is 6.

Thus, LCM of Fractions is 1343.Finally, LCM of Fractions for 51/762, 2686/3324 is 1343.