Least Common Multiple of 842/469, 5404/5894

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 842/469, 5404/5894 quickly i.e. 325012 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 842/469, 5404/5894 is 325012.

LCM(842/469, 5404/5894) = 325012

LCM of 842/469, 5404/5894

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 842/469,5404/5894

Given numbers are 842/469,5404/5894

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 842,5404

Least Common Multiple of Numerators i.e. LCM of 842,5404 is 2275084.

GCF of Denominators means GCF of 469,5894 as per the given fractions.

GCF of 469,5894 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 842,5404

LCM of Fractions 842/469,5404/5894 is 325012

2 842, 5404
421, 2702

∴ So the LCM of the given numbers is 2 x 421 x 2702 = 2275084

Least Common Multiple of 842,5404 with GCF Formula

Least Common Multiple of 842,5404 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 842,5404 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(842,5404) = 2

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

GCF(842,5404) x common factors =2 x 1 = 2

LCM(842,5404) = ( 842 × 5404 ) / 2

LCM(842,5404) = 4550168 / 2

LCM(842,5404) = 2275084


Lets's calculate GCF of 469,5894

7 469, 5894
67, 842

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2275084/7

Therefore the LCM of Fractions 842/469,5404/5894 is 325012

Greatest Common Factor of 469,5894 By Matching Biggest Common Factor Method

Greatest Common Factor of 469,5894 By Matching Biggest Common Factor Method

Factors of 469

List of positive integer factors of 469 that divides 469 without a remainder.

1,7,67,469

Factors of 5894

List of positive integer factors of 5894 that divides 5894 without a remainder.

1,2,7,14,421,842,2947,5894

Greatest Common Factor

We found the factors 469,5894 . The biggest common factor number is the GCF number.
So the greatest common factor 469,5894 is 7.


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 842/469, 5404/5894

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 842/469, 5404/5894?

Answer: LCM of Numerators as per given numbers 842/469, 5404/5894 is

LCM of Numerators i.e. for 842,5404 is 2275084

GCF of denominators i.e. for 469,5894 is 7.

Thus, LCM of Fractions is 325012.Finally, LCM of Fractions for 842/469, 5404/5894 is 325012.