Least Common Multiple of 795/14, 456/1369

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 795/14, 456/1369 quickly i.e. 120840 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 795/14, 456/1369 is 120840.

LCM(795/14, 456/1369) = 120840

LCM of 795/14, 456/1369

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 795/14,456/1369

Given numbers are 795/14,456/1369

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 795,456

Least Common Multiple of Numerators i.e. LCM of 795,456 is 120840.

GCF of Denominators means GCF of 14,1369 as per the given fractions.

GCF of 14,1369 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 795,456

LCM of Fractions 795/14,456/1369 is 120840

3 795, 456
265, 152

∴ So the LCM of the given numbers is 3 x 265 x 152 = 120840

Least Common Multiple of 795,456 with GCF Formula

Least Common Multiple of 795,456 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 795,456 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(795,456) = 3

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

GCF(795,456) x common factors =3 x 1 = 3

LCM(795,456) = ( 795 × 456 ) / 3

LCM(795,456) = 362520 / 3

LCM(795,456) = 120840


Lets's calculate GCF of 14,1369

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 120840/1

Therefore the LCM of Fractions 795/14,456/1369 is 120840

Greatest Common Factor of 14,1369 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,1369 By Matching Biggest Common Factor Method

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 1369

List of positive integer factors of 1369 that divides 1369 without a remainder.

1,37,1369

Greatest Common Factor

We found the factors 14,1369 . The biggest common factor number is the GCF number.
So the greatest common factor 14,1369 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 795/14, 456/1369

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 795/14, 456/1369?

Answer: LCM of Numerators as per given numbers 795/14, 456/1369 is

LCM of Numerators i.e. for 795,456 is 120840

GCF of denominators i.e. for 14,1369 is 1.

Thus, LCM of Fractions is 120840.Finally, LCM of Fractions for 795/14, 456/1369 is 120840.