Least Common Multiple of 820/94, 423/5960

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 820/94, 423/5960 quickly i.e. 173430 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 820/94, 423/5960 is 173430.

LCM(820/94, 423/5960) = 173430

LCM of 820/94, 423/5960

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 820/94,423/5960

Given numbers are 820/94,423/5960

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 820,423

Least Common Multiple of Numerators i.e. LCM of 820,423 is 346860.

GCF of Denominators means GCF of 94,5960 as per the given fractions.

GCF of 94,5960 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 820,423

LCM of Fractions 820/94,423/5960 is 173430

Given numbers has no common factors except 1. So, there LCM is their product i.e 346860

Least Common Multiple of 820,423 with GCF Formula

Least Common Multiple of 820,423 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 820,423 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(820,423) = 1

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

GCF(820,423) x common factors =1 x 1 = 1

LCM(820,423) = ( 820 × 423 ) / 1

LCM(820,423) = 346860 / 1

LCM(820,423) = 346860


Lets's calculate GCF of 94,5960

2 94, 5960
47, 2980

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 346860/2

Therefore the LCM of Fractions 820/94,423/5960 is 173430

Greatest Common Factor of 94,5960 By Matching Biggest Common Factor Method

Greatest Common Factor of 94,5960 By Matching Biggest Common Factor Method

Factors of 94

List of positive integer factors of 94 that divides 94 without a remainder.

1,2,47,94

Factors of 5960

List of positive integer factors of 5960 that divides 5960 without a remainder.

1,2,4,5,8,10,20,40,149,298,596,745,1192,1490,2980,5960

Greatest Common Factor

We found the factors 94,5960 . The biggest common factor number is the GCF number.
So the greatest common factor 94,5960 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 820/94, 423/5960

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 820/94, 423/5960?

Answer: LCM of Numerators as per given numbers 820/94, 423/5960 is

LCM of Numerators i.e. for 820,423 is 346860

GCF of denominators i.e. for 94,5960 is 2.

Thus, LCM of Fractions is 173430.Finally, LCM of Fractions for 820/94, 423/5960 is 173430.