Least Common Multiple of 122/86, 880/61, 274/18

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 122/86, 880/61, 274/18 quickly i.e. 7354160 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 122/86, 880/61, 274/18 is 7354160.

LCM(122/86, 880/61, 274/18) = 7354160

LCM of 122/86, 880/61, 274/18

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 122/86,880/61,274/18

Given numbers are 122/86,880/61,274/18

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 122,880,274

Least Common Multiple of Numerators i.e. LCM of 122,880,274 is 7354160.

GCF of Denominators means GCF of 86,61,18 as per the given fractions.

GCF of 86,61,18 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 122,880,274

LCM of Fractions 122/86,880/61,274/18 is 7354160

2 122, 880, 274
61, 440, 137

∴ So the LCM of the given numbers is 2 x 61 x 440 x 137 = 7354160

Least Common Multiple of 122,880,274 with GCF Formula

Least Common Multiple of 122,880,274 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 122,880,274 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(122,880,274) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(122,880,274) x common factors =2 x 2 = 4

LCM(122,880,274) = ( 122 × 880 × 274 ) / 4

LCM(122,880,274) = 29416640 / 4

LCM(122,880,274) = 7354160


Lets's calculate GCF of 86,61,18

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7354160/1

Therefore the LCM of Fractions 122/86,880/61,274/18 is 7354160

Greatest Common Factor of 86,61,18 By Matching Biggest Common Factor Method

Greatest Common Factor of 86,61,18 By Matching Biggest Common Factor Method

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Factors of 61

List of positive integer factors of 61 that divides 61 without a remainder.

1,61

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Greatest Common Factor

We found the factors 86,61,18 . The biggest common factor number is the GCF number.
So the greatest common factor 86,61,18 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 122/86, 880/61, 274/18

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 122/86, 880/61, 274/18?

Answer: LCM of Numerators as per given numbers 122/86, 880/61, 274/18 is

LCM of Numerators i.e. for 122,880,274 is 7354160

GCF of denominators i.e. for 86,61,18 is 1.

Thus, LCM of Fractions is 7354160.Finally, LCM of Fractions for 122/86, 880/61, 274/18 is 7354160.