Least Common Multiple of 334/477, 420/795

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 334/477, 420/795 quickly i.e. 70140/159 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 334/477, 420/795 is 70140/159.

LCM(334/477, 420/795) = 70140/159

LCM of 334/477, 420/795

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 334/477,420/795

Given numbers are 334/477,420/795

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 334,420

Least Common Multiple of Numerators i.e. LCM of 334,420 is 70140.

GCF of Denominators means GCF of 477,795 as per the given fractions.

GCF of 477,795 is 159 as it is the largest common factor for these numbers.

Lets's calculate LCM of 334,420

LCM of Fractions 334/477,420/795 is 70140/159

2 334, 420
167, 210

∴ So the LCM of the given numbers is 2 x 167 x 210 = 70140

Least Common Multiple of 334,420 with GCF Formula

Least Common Multiple of 334,420 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 334,420 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(334,420) = 2

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

GCF(334,420) x common factors =2 x 1 = 2

LCM(334,420) = ( 334 × 420 ) / 2

LCM(334,420) = 140280 / 2

LCM(334,420) = 70140


Lets's calculate GCF of 477,795

3 477, 795
53 159, 265
3, 5

∴ So the GCF of the given numbers is 3 x 53 = 159

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 70140/159

Therefore the LCM of Fractions 334/477,420/795 is 70140/159

Greatest Common Factor of 477,795 By Matching Biggest Common Factor Method

Greatest Common Factor of 477,795 By Matching Biggest Common Factor Method

Factors of 477

List of positive integer factors of 477 that divides 477 without a remainder.

1,3,9,53,159,477

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 477,795 . The biggest common factor number is the GCF number.
So the greatest common factor 477,795 is 159.


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 334/477, 420/795

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 334/477, 420/795?

Answer: LCM of Numerators as per given numbers 334/477, 420/795 is

LCM of Numerators i.e. for 334,420 is 70140

GCF of denominators i.e. for 477,795 is 159.

Thus, LCM of Fractions is 70140/159.Finally, LCM of Fractions for 334/477, 420/795 is 70140/159.