Least Common Multiple of 130/44, 816/6732

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 130/44, 816/6732 quickly i.e. 53040/44 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 130/44, 816/6732 is 53040/44.

LCM(130/44, 816/6732) = 53040/44

LCM of 130/44, 816/6732

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 130/44,816/6732

Given numbers are 130/44,816/6732

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 130,816

Least Common Multiple of Numerators i.e. LCM of 130,816 is 53040.

GCF of Denominators means GCF of 44,6732 as per the given fractions.

GCF of 44,6732 is 44 as it is the largest common factor for these numbers.

Lets's calculate LCM of 130,816

LCM of Fractions 130/44,816/6732 is 53040/44

2 130, 816
65, 408

∴ So the LCM of the given numbers is 2 x 65 x 408 = 53040

Least Common Multiple of 130,816 with GCF Formula

Least Common Multiple of 130,816 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 130,816 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(130,816) = 2

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

GCF(130,816) x common factors =2 x 1 = 2

LCM(130,816) = ( 130 × 816 ) / 2

LCM(130,816) = 106080 / 2

LCM(130,816) = 53040


Lets's calculate GCF of 44,6732

2 44, 6732
2 22, 3366
11 11, 1683
1, 153

∴ So the GCF of the given numbers is 2 x 2 x 11 = 44

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 53040/44

Therefore the LCM of Fractions 130/44,816/6732 is 53040/44

Greatest Common Factor of 44,6732 By Matching Biggest Common Factor Method

Greatest Common Factor of 44,6732 By Matching Biggest Common Factor Method

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 6732

List of positive integer factors of 6732 that divides 6732 without a remainder.

1,2,3,4,6,9,11,12,17,18,22,33,34,36,44,51,66,68,99,102,132,153,187,198,204,306,374,396,561,612,748,1122,1683,2244,3366,6732

Greatest Common Factor

We found the factors 44,6732 . The biggest common factor number is the GCF number.
So the greatest common factor 44,6732 is 44.


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 130/44, 816/6732

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 130/44, 816/6732?

Answer: LCM of Numerators as per given numbers 130/44, 816/6732 is

LCM of Numerators i.e. for 130,816 is 53040

GCF of denominators i.e. for 44,6732 is 44.

Thus, LCM of Fractions is 53040/44.Finally, LCM of Fractions for 130/44, 816/6732 is 53040/44.