Least Common Multiple of 8442/134, 6554/469

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8442/134, 6554/469 quickly i.e. 412902 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8442/134, 6554/469 is 412902.

LCM(8442/134, 6554/469) = 412902

LCM of 8442/134, 6554/469

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 8442/134,6554/469

Given numbers are 8442/134,6554/469

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 8442,6554

Least Common Multiple of Numerators i.e. LCM of 8442,6554 is 27664434.

GCF of Denominators means GCF of 134,469 as per the given fractions.

GCF of 134,469 is 67 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8442,6554

LCM of Fractions 8442/134,6554/469 is 412902

2 8442, 6554
4221, 3277

∴ So the LCM of the given numbers is 2 x 4221 x 3277 = 27664434

Least Common Multiple of 8442,6554 with GCF Formula

Least Common Multiple of 8442,6554 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 8442,6554 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8442,6554) = 2

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

GCF(8442,6554) x common factors =2 x 1 = 2

LCM(8442,6554) = ( 8442 × 6554 ) / 2

LCM(8442,6554) = 55328868 / 2

LCM(8442,6554) = 27664434


Lets's calculate GCF of 134,469

67 134, 469
2, 7

∴ So the GCF of the given numbers is 67 = 67

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27664434/67

Therefore the LCM of Fractions 8442/134,6554/469 is 412902

Greatest Common Factor of 134,469 By Matching Biggest Common Factor Method

Greatest Common Factor of 134,469 By Matching Biggest Common Factor Method

Factors of 134

List of positive integer factors of 134 that divides 134 without a remainder.

1,2,67,134

Factors of 469

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

1,7,67,469

Greatest Common Factor

We found the factors 134,469 . The biggest common factor number is the GCF number.
So the greatest common factor 134,469 is 67.


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 8442/134, 6554/469

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 8442/134, 6554/469?

Answer: LCM of Numerators as per given numbers 8442/134, 6554/469 is

LCM of Numerators i.e. for 8442,6554 is 27664434

GCF of denominators i.e. for 134,469 is 67.

Thus, LCM of Fractions is 412902.Finally, LCM of Fractions for 8442/134, 6554/469 is 412902.