Least Common Multiple of 395/36, 496/1274

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 395/36, 496/1274 quickly i.e. 97960 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 395/36, 496/1274 is 97960.

LCM(395/36, 496/1274) = 97960

LCM of 395/36, 496/1274

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 395/36,496/1274

Given numbers are 395/36,496/1274

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 395,496

Least Common Multiple of Numerators i.e. LCM of 395,496 is 195920.

GCF of Denominators means GCF of 36,1274 as per the given fractions.

GCF of 36,1274 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 395,496

LCM of Fractions 395/36,496/1274 is 97960

Given numbers has no common factors except 1. So, there LCM is their product i.e 195920

Least Common Multiple of 395,496 with GCF Formula

Least Common Multiple of 395,496 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 395,496 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(395,496) = 1

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

GCF(395,496) x common factors =1 x 1 = 1

LCM(395,496) = ( 395 × 496 ) / 1

LCM(395,496) = 195920 / 1

LCM(395,496) = 195920


Lets's calculate GCF of 36,1274

2 36, 1274
18, 637

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 195920/2

Therefore the LCM of Fractions 395/36,496/1274 is 97960

Greatest Common Factor of 36,1274 By Matching Biggest Common Factor Method

Greatest Common Factor of 36,1274 By Matching Biggest Common Factor Method

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 1274

List of positive integer factors of 1274 that divides 1274 without a remainder.

1,2,7,13,14,26,49,91,98,182,637,1274

Greatest Common Factor

We found the factors 36,1274 . The biggest common factor number is the GCF number.
So the greatest common factor 36,1274 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 395/36, 496/1274

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 395/36, 496/1274?

Answer: LCM of Numerators as per given numbers 395/36, 496/1274 is

LCM of Numerators i.e. for 395,496 is 195920

GCF of denominators i.e. for 36,1274 is 2.

Thus, LCM of Fractions is 97960.Finally, LCM of Fractions for 395/36, 496/1274 is 97960.