Least Common Multiple of 106/11, 253/21, 249/835

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 106/11, 253/21, 249/835 quickly i.e. 6677682 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 106/11, 253/21, 249/835 is 6677682.

LCM(106/11, 253/21, 249/835) = 6677682

LCM of 106/11, 253/21, 249/835

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 106/11,253/21,249/835

Given numbers are 106/11,253/21,249/835

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 106,253,249

Least Common Multiple of Numerators i.e. LCM of 106,253,249 is 6677682.

GCF of Denominators means GCF of 11,21,835 as per the given fractions.

GCF of 11,21,835 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 106,253,249

LCM of Fractions 106/11,253/21,249/835 is 6677682

Given numbers has no common factors except 1. So, there LCM is their product i.e 6677682

Least Common Multiple of 106,253,249 with GCF Formula

Least Common Multiple of 106,253,249 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 106,253,249 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(106,253,249) = 1

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

GCF(106,253,249) x common factors =1 x 1 = 1

LCM(106,253,249) = ( 106 × 253 × 249 ) / 1

LCM(106,253,249) = 6677682 / 1

LCM(106,253,249) = 6677682


Lets's calculate GCF of 11,21,835

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6677682/1

Therefore the LCM of Fractions 106/11,253/21,249/835 is 6677682

Greatest Common Factor of 11,21,835 By Matching Biggest Common Factor Method

Greatest Common Factor of 11,21,835 By Matching Biggest Common Factor Method

Factors of 11

List of positive integer factors of 11 that divides 11 without a remainder.

1,11

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 835

List of positive integer factors of 835 that divides 835 without a remainder.

1,5,167,835

Greatest Common Factor

We found the factors 11,21,835 . The biggest common factor number is the GCF number.
So the greatest common factor 11,21,835 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 106/11, 253/21, 249/835

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 106/11, 253/21, 249/835?

Answer: LCM of Numerators as per given numbers 106/11, 253/21, 249/835 is

LCM of Numerators i.e. for 106,253,249 is 6677682

GCF of denominators i.e. for 11,21,835 is 1.

Thus, LCM of Fractions is 6677682.Finally, LCM of Fractions for 106/11, 253/21, 249/835 is 6677682.