Least Common Multiple of 467/109, 5954/795

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 467/109, 5954/795 quickly i.e. 2780518 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 467/109, 5954/795 is 2780518.

LCM(467/109, 5954/795) = 2780518

LCM of 467/109, 5954/795

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 467/109,5954/795

Given numbers are 467/109,5954/795

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 467,5954

Least Common Multiple of Numerators i.e. LCM of 467,5954 is 2780518.

GCF of Denominators means GCF of 109,795 as per the given fractions.

GCF of 109,795 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 467,5954

LCM of Fractions 467/109,5954/795 is 2780518

Given numbers has no common factors except 1. So, there LCM is their product i.e 2780518

Least Common Multiple of 467,5954 with GCF Formula

Least Common Multiple of 467,5954 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 467,5954 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(467,5954) = 1

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

GCF(467,5954) x common factors =1 x 1 = 1

LCM(467,5954) = ( 467 × 5954 ) / 1

LCM(467,5954) = 2780518 / 1

LCM(467,5954) = 2780518


Lets's calculate GCF of 109,795

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2780518/1

Therefore the LCM of Fractions 467/109,5954/795 is 2780518

Greatest Common Factor of 109,795 By Matching Biggest Common Factor Method

Greatest Common Factor of 109,795 By Matching Biggest Common Factor Method

Factors of 109

List of positive integer factors of 109 that divides 109 without a remainder.

1,109

Factors of 795

List of positive integer factors of 795 that divides 795 without a remainder.

1,3,5,15,53,159,265,795

Greatest Common Factor

We found the factors 109,795 . The biggest common factor number is the GCF number.
So the greatest common factor 109,795 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 467/109, 5954/795

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 467/109, 5954/795?

Answer: LCM of Numerators as per given numbers 467/109, 5954/795 is

LCM of Numerators i.e. for 467,5954 is 2780518

GCF of denominators i.e. for 109,795 is 1.

Thus, LCM of Fractions is 2780518.Finally, LCM of Fractions for 467/109, 5954/795 is 2780518.