Least Common Multiple of 274/62, 326/2512

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 274/62, 326/2512 quickly i.e. 22331 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 274/62, 326/2512 is 22331.

LCM(274/62, 326/2512) = 22331

LCM of 274/62, 326/2512

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 274/62,326/2512

Given numbers are 274/62,326/2512

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 274,326

Least Common Multiple of Numerators i.e. LCM of 274,326 is 44662.

GCF of Denominators means GCF of 62,2512 as per the given fractions.

GCF of 62,2512 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 274,326

LCM of Fractions 274/62,326/2512 is 22331

2 274, 326
137, 163

∴ So the LCM of the given numbers is 2 x 137 x 163 = 44662

Least Common Multiple of 274,326 with GCF Formula

Least Common Multiple of 274,326 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 274,326 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(274,326) = 2

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

GCF(274,326) x common factors =2 x 1 = 2

LCM(274,326) = ( 274 × 326 ) / 2

LCM(274,326) = 89324 / 2

LCM(274,326) = 44662


Lets's calculate GCF of 62,2512

2 62, 2512
31, 1256

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 44662/2

Therefore the LCM of Fractions 274/62,326/2512 is 22331

Greatest Common Factor of 62,2512 By Matching Biggest Common Factor Method

Greatest Common Factor of 62,2512 By Matching Biggest Common Factor Method

Factors of 62

List of positive integer factors of 62 that divides 62 without a remainder.

1,2,31,62

Factors of 2512

List of positive integer factors of 2512 that divides 2512 without a remainder.

1,2,4,8,16,157,314,628,1256,2512

Greatest Common Factor

We found the factors 62,2512 . The biggest common factor number is the GCF number.
So the greatest common factor 62,2512 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 274/62, 326/2512

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 274/62, 326/2512?

Answer: LCM of Numerators as per given numbers 274/62, 326/2512 is

LCM of Numerators i.e. for 274,326 is 44662

GCF of denominators i.e. for 62,2512 is 2.

Thus, LCM of Fractions is 22331.Finally, LCM of Fractions for 274/62, 326/2512 is 22331.