Least Common Multiple of 122/57, 669/6315

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 122/57, 669/6315 quickly i.e. 27206 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 122/57, 669/6315 is 27206.

LCM(122/57, 669/6315) = 27206

LCM of 122/57, 669/6315

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 122/57,669/6315

Given numbers are 122/57,669/6315

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 122,669

Least Common Multiple of Numerators i.e. LCM of 122,669 is 81618.

GCF of Denominators means GCF of 57,6315 as per the given fractions.

GCF of 57,6315 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 122,669

LCM of Fractions 122/57,669/6315 is 27206

Given numbers has no common factors except 1. So, there LCM is their product i.e 81618

Least Common Multiple of 122,669 with GCF Formula

Least Common Multiple of 122,669 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 122,669 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(122,669) = 1

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

GCF(122,669) x common factors =1 x 1 = 1

LCM(122,669) = ( 122 × 669 ) / 1

LCM(122,669) = 81618 / 1

LCM(122,669) = 81618


Lets's calculate GCF of 57,6315

3 57, 6315
19, 2105

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 81618/3

Therefore the LCM of Fractions 122/57,669/6315 is 27206

Greatest Common Factor of 57,6315 By Matching Biggest Common Factor Method

Greatest Common Factor of 57,6315 By Matching Biggest Common Factor Method

Factors of 57

List of positive integer factors of 57 that divides 57 without a remainder.

1,3,19,57

Factors of 6315

List of positive integer factors of 6315 that divides 6315 without a remainder.

1,3,5,15,421,1263,2105,6315

Greatest Common Factor

We found the factors 57,6315 . The biggest common factor number is the GCF number.
So the greatest common factor 57,6315 is 3.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 122/57, 669/6315

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 122/57, 669/6315?

Answer: LCM of Numerators as per given numbers 122/57, 669/6315 is

LCM of Numerators i.e. for 122,669 is 81618

GCF of denominators i.e. for 57,6315 is 3.

Thus, LCM of Fractions is 27206.Finally, LCM of Fractions for 122/57, 669/6315 is 27206.