Least Common Multiple of 143/424, 598/904

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 143/424, 598/904 quickly i.e. 6578/8 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 143/424, 598/904 is 6578/8.

LCM(143/424, 598/904) = 6578/8

LCM of 143/424, 598/904

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 143/424,598/904

Given numbers are 143/424,598/904

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 143,598

Least Common Multiple of Numerators i.e. LCM of 143,598 is 6578.

GCF of Denominators means GCF of 424,904 as per the given fractions.

GCF of 424,904 is 8 as it is the largest common factor for these numbers.

Lets's calculate LCM of 143,598

LCM of Fractions 143/424,598/904 is 6578/8

13 143, 598
11, 46

∴ So the LCM of the given numbers is 13 x 11 x 46 = 6578

Least Common Multiple of 143,598 with GCF Formula

Least Common Multiple of 143,598 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 143,598 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(143,598) = 13

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

GCF(143,598) x common factors =13 x 1 = 13

LCM(143,598) = ( 143 × 598 ) / 13

LCM(143,598) = 85514 / 13

LCM(143,598) = 6578


Lets's calculate GCF of 424,904

2 424, 904
2 212, 452
2 106, 226
53, 113

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6578/8

Therefore the LCM of Fractions 143/424,598/904 is 6578/8

Greatest Common Factor of 424,904 By Matching Biggest Common Factor Method

Greatest Common Factor of 424,904 By Matching Biggest Common Factor Method

Factors of 424

List of positive integer factors of 424 that divides 424 without a remainder.

1,2,4,8,53,106,212,424

Factors of 904

List of positive integer factors of 904 that divides 904 without a remainder.

1,2,4,8,113,226,452,904

Greatest Common Factor

We found the factors 424,904 . The biggest common factor number is the GCF number.
So the greatest common factor 424,904 is 8.


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 143/424, 598/904

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 143/424, 598/904?

Answer: LCM of Numerators as per given numbers 143/424, 598/904 is

LCM of Numerators i.e. for 143,598 is 6578

GCF of denominators i.e. for 424,904 is 8.

Thus, LCM of Fractions is 6578/8.Finally, LCM of Fractions for 143/424, 598/904 is 6578/8.