Least Common Multiple of 6506/208, 6812/492

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6506/208, 6812/492 quickly i.e. 5539859 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6506/208, 6812/492 is 5539859.

LCM(6506/208, 6812/492) = 5539859

LCM of 6506/208, 6812/492

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 6506/208,6812/492

Given numbers are 6506/208,6812/492

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 6506,6812

Least Common Multiple of Numerators i.e. LCM of 6506,6812 is 22159436.

GCF of Denominators means GCF of 208,492 as per the given fractions.

GCF of 208,492 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6506,6812

LCM of Fractions 6506/208,6812/492 is 5539859

2 6506, 6812
3253, 3406

∴ So the LCM of the given numbers is 2 x 3253 x 3406 = 22159436

Least Common Multiple of 6506,6812 with GCF Formula

Least Common Multiple of 6506,6812 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 6506,6812 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6506,6812) = 2

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

GCF(6506,6812) x common factors =2 x 1 = 2

LCM(6506,6812) = ( 6506 × 6812 ) / 2

LCM(6506,6812) = 44318872 / 2

LCM(6506,6812) = 22159436


Lets's calculate GCF of 208,492

2 208, 492
2 104, 246
52, 123

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22159436/4

Therefore the LCM of Fractions 6506/208,6812/492 is 5539859

Greatest Common Factor of 208,492 By Matching Biggest Common Factor Method

Greatest Common Factor of 208,492 By Matching Biggest Common Factor Method

Factors of 208

List of positive integer factors of 208 that divides 208 without a remainder.

1,2,4,8,13,16,26,52,104,208

Factors of 492

List of positive integer factors of 492 that divides 492 without a remainder.

1,2,3,4,6,12,41,82,123,164,246,492

Greatest Common Factor

We found the factors 208,492 . The biggest common factor number is the GCF number.
So the greatest common factor 208,492 is 4.


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 6506/208, 6812/492

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 6506/208, 6812/492?

Answer: LCM of Numerators as per given numbers 6506/208, 6812/492 is

LCM of Numerators i.e. for 6506,6812 is 22159436

GCF of denominators i.e. for 208,492 is 4.

Thus, LCM of Fractions is 5539859.Finally, LCM of Fractions for 6506/208, 6812/492 is 5539859.