Least Common Multiple of 61/21, 49/51, 106/611

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 61/21, 49/51, 106/611 quickly i.e. 316834 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 61/21, 49/51, 106/611 is 316834.

LCM(61/21, 49/51, 106/611) = 316834

LCM of 61/21, 49/51, 106/611

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 61/21,49/51,106/611

Given numbers are 61/21,49/51,106/611

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 61,49,106

Least Common Multiple of Numerators i.e. LCM of 61,49,106 is 316834.

GCF of Denominators means GCF of 21,51,611 as per the given fractions.

GCF of 21,51,611 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 61,49,106

LCM of Fractions 61/21,49/51,106/611 is 316834

Given numbers has no common factors except 1. So, there LCM is their product i.e 316834

Least Common Multiple of 61,49,106 with GCF Formula

Least Common Multiple of 61,49,106 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 61,49,106 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,49,106) = 1

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

GCF(61,49,106) x common factors =1 x 1 = 1

LCM(61,49,106) = ( 61 × 49 × 106 ) / 1

LCM(61,49,106) = 316834 / 1

LCM(61,49,106) = 316834


Lets's calculate GCF of 21,51,611

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 316834/1

Therefore the LCM of Fractions 61/21,49/51,106/611 is 316834

Greatest Common Factor of 21,51,611 By Matching Biggest Common Factor Method

Greatest Common Factor of 21,51,611 By Matching Biggest Common Factor Method

Factors of 21

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

1,3,7,21

Factors of 51

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

1,3,17,51

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 21,51,611 . The biggest common factor number is the GCF number.
So the greatest common factor 21,51,611 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 61/21, 49/51, 106/611

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 61/21, 49/51, 106/611?

Answer: LCM of Numerators as per given numbers 61/21, 49/51, 106/611 is

LCM of Numerators i.e. for 61,49,106 is 316834

GCF of denominators i.e. for 21,51,611 is 1.

Thus, LCM of Fractions is 316834.Finally, LCM of Fractions for 61/21, 49/51, 106/611 is 316834.