Least Common Multiple of 298/273, 342/849, 143/855

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 298/273, 342/849, 143/855 quickly i.e. 2428998 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 298/273, 342/849, 143/855 is 2428998.

LCM(298/273, 342/849, 143/855) = 2428998

LCM of 298/273, 342/849, 143/855

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 298/273,342/849,143/855

Given numbers are 298/273,342/849,143/855

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 298,342,143

Least Common Multiple of Numerators i.e. LCM of 298,342,143 is 7286994.

GCF of Denominators means GCF of 273,849,855 as per the given fractions.

GCF of 273,849,855 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 298,342,143

LCM of Fractions 298/273,342/849,143/855 is 2428998

2 298, 342, 143
149, 171, 143

∴ So the LCM of the given numbers is 2 x 149 x 171 x 143 = 7286994

Least Common Multiple of 298,342,143 with GCF Formula

Least Common Multiple of 298,342,143 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 298,342,143 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(298,342,143) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(298,342,143) x common factors =1 x 2 = 2

LCM(298,342,143) = ( 298 × 342 × 143 ) / 2

LCM(298,342,143) = 14573988 / 2

LCM(298,342,143) = 7286994


Lets's calculate GCF of 273,849,855

3 273, 849, 855
91, 283, 285

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7286994/3

Therefore the LCM of Fractions 298/273,342/849,143/855 is 2428998

Greatest Common Factor of 273,849,855 By Matching Biggest Common Factor Method

Greatest Common Factor of 273,849,855 By Matching Biggest Common Factor Method

Factors of 273

List of positive integer factors of 273 that divides 273 without a remainder.

1,3,7,13,21,39,91,273

Factors of 849

List of positive integer factors of 849 that divides 849 without a remainder.

1,3,283,849

Factors of 855

List of positive integer factors of 855 that divides 855 without a remainder.

1,3,5,9,15,19,45,57,95,171,285,855

Greatest Common Factor

We found the factors 273,849,855 . The biggest common factor number is the GCF number.
So the greatest common factor 273,849,855 is 3.


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 298/273, 342/849, 143/855

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 298/273, 342/849, 143/855?

Answer: LCM of Numerators as per given numbers 298/273, 342/849, 143/855 is

LCM of Numerators i.e. for 298,342,143 is 7286994

GCF of denominators i.e. for 273,849,855 is 3.

Thus, LCM of Fractions is 2428998.Finally, LCM of Fractions for 298/273, 342/849, 143/855 is 2428998.