Least Common Multiple of 3654/51, 6752/772

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3654/51, 6752/772 quickly i.e. 12335904 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3654/51, 6752/772 is 12335904.

LCM(3654/51, 6752/772) = 12335904

LCM of 3654/51, 6752/772

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 3654/51,6752/772

Given numbers are 3654/51,6752/772

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 3654,6752

Least Common Multiple of Numerators i.e. LCM of 3654,6752 is 12335904.

GCF of Denominators means GCF of 51,772 as per the given fractions.

GCF of 51,772 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3654,6752

LCM of Fractions 3654/51,6752/772 is 12335904

2 3654, 6752
1827, 3376

∴ So the LCM of the given numbers is 2 x 1827 x 3376 = 12335904

Least Common Multiple of 3654,6752 with GCF Formula

Least Common Multiple of 3654,6752 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 3654,6752 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3654,6752) = 2

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

GCF(3654,6752) x common factors =2 x 1 = 2

LCM(3654,6752) = ( 3654 × 6752 ) / 2

LCM(3654,6752) = 24671808 / 2

LCM(3654,6752) = 12335904


Lets's calculate GCF of 51,772

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12335904/1

Therefore the LCM of Fractions 3654/51,6752/772 is 12335904

Greatest Common Factor of 51,772 By Matching Biggest Common Factor Method

Greatest Common Factor of 51,772 By Matching Biggest Common Factor Method

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 772

List of positive integer factors of 772 that divides 772 without a remainder.

1,2,4,193,386,772

Greatest Common Factor

We found the factors 51,772 . The biggest common factor number is the GCF number.
So the greatest common factor 51,772 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 3654/51, 6752/772

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 3654/51, 6752/772?

Answer: LCM of Numerators as per given numbers 3654/51, 6752/772 is

LCM of Numerators i.e. for 3654,6752 is 12335904

GCF of denominators i.e. for 51,772 is 1.

Thus, LCM of Fractions is 12335904.Finally, LCM of Fractions for 3654/51, 6752/772 is 12335904.