Least Common Multiple of 246/273, 822/611

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 246/273, 822/611 quickly i.e. 33702/13 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 246/273, 822/611 is 33702/13.

LCM(246/273, 822/611) = 33702/13

LCM of 246/273, 822/611

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 246/273,822/611

Given numbers are 246/273,822/611

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 246,822

Least Common Multiple of Numerators i.e. LCM of 246,822 is 33702.

GCF of Denominators means GCF of 273,611 as per the given fractions.

GCF of 273,611 is 13 as it is the largest common factor for these numbers.

Lets's calculate LCM of 246,822

LCM of Fractions 246/273,822/611 is 33702/13

2 246, 822
3 123, 411
41, 137

∴ So the LCM of the given numbers is 2 x 3 x 41 x 137 = 33702

Least Common Multiple of 246,822 with GCF Formula

Least Common Multiple of 246,822 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 246,822 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(246,822) = 6

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

GCF(246,822) x common factors =6 x 1 = 6

LCM(246,822) = ( 246 × 822 ) / 6

LCM(246,822) = 202212 / 6

LCM(246,822) = 33702


Lets's calculate GCF of 273,611

13 273, 611
21, 47

∴ So the GCF of the given numbers is 13 = 13

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 33702/13

Therefore the LCM of Fractions 246/273,822/611 is 33702/13

Greatest Common Factor of 273,611 By Matching Biggest Common Factor Method

Greatest Common Factor of 273,611 By Matching Biggest Common Factor Method

Factors of 273

List of positive integer factors of 273 that divides 273 without a remainder.

1,3,7,13,21,39,91,273

Factors of 611

List of positive integer factors of 611 that divides 611 without a remainder.

1,13,47,611

Greatest Common Factor

We found the factors 273,611 . The biggest common factor number is the GCF number.
So the greatest common factor 273,611 is 13.


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 246/273, 822/611

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 246/273, 822/611?

Answer: LCM of Numerators as per given numbers 246/273, 822/611 is

LCM of Numerators i.e. for 246,822 is 33702

GCF of denominators i.e. for 273,611 is 13.

Thus, LCM of Fractions is 33702/13.Finally, LCM of Fractions for 246/273, 822/611 is 33702/13.