Least Common Multiple of 305/22, 552/56, 274/122

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 305/22, 552/56, 274/122 quickly i.e. 11532660 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 305/22, 552/56, 274/122 is 11532660.

LCM(305/22, 552/56, 274/122) = 11532660

LCM of 305/22, 552/56, 274/122

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 305/22,552/56,274/122

Given numbers are 305/22,552/56,274/122

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 305,552,274

Least Common Multiple of Numerators i.e. LCM of 305,552,274 is 23065320.

GCF of Denominators means GCF of 22,56,122 as per the given fractions.

GCF of 22,56,122 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 305,552,274

LCM of Fractions 305/22,552/56,274/122 is 11532660

2 305, 552, 274
305, 276, 137

∴ So the LCM of the given numbers is 2 x 305 x 276 x 137 = 23065320

Least Common Multiple of 305,552,274 with GCF Formula

Least Common Multiple of 305,552,274 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 305,552,274 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(305,552,274) = 1

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

GCF(305,552,274) x common factors =1 x 2 = 2

LCM(305,552,274) = ( 305 × 552 × 274 ) / 2

LCM(305,552,274) = 46130640 / 2

LCM(305,552,274) = 23065320


Lets's calculate GCF of 22,56,122

2 22, 56, 122
11, 28, 61

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23065320/2

Therefore the LCM of Fractions 305/22,552/56,274/122 is 11532660

Greatest Common Factor of 22,56,122 By Matching Biggest Common Factor Method

Greatest Common Factor of 22,56,122 By Matching Biggest Common Factor Method

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 122

List of positive integer factors of 122 that divides 122 without a remainder.

1,2,61,122

Greatest Common Factor

We found the factors 22,56,122 . The biggest common factor number is the GCF number.
So the greatest common factor 22,56,122 is 2.


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 305/22, 552/56, 274/122

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 305/22, 552/56, 274/122?

Answer: LCM of Numerators as per given numbers 305/22, 552/56, 274/122 is

LCM of Numerators i.e. for 305,552,274 is 23065320

GCF of denominators i.e. for 22,56,122 is 2.

Thus, LCM of Fractions is 11532660.Finally, LCM of Fractions for 305/22, 552/56, 274/122 is 11532660.