Least Common Multiple of 302/673, 862/558

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 302/673, 862/558 quickly i.e. 130162 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 302/673, 862/558 is 130162.

LCM(302/673, 862/558) = 130162

LCM of 302/673, 862/558

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 302/673,862/558

Given numbers are 302/673,862/558

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 302,862

Least Common Multiple of Numerators i.e. LCM of 302,862 is 130162.

GCF of Denominators means GCF of 673,558 as per the given fractions.

GCF of 673,558 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 302,862

LCM of Fractions 302/673,862/558 is 130162

2 302, 862
151, 431

∴ So the LCM of the given numbers is 2 x 151 x 431 = 130162

Least Common Multiple of 302,862 with GCF Formula

Least Common Multiple of 302,862 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 302,862 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(302,862) = 2

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

GCF(302,862) x common factors =2 x 1 = 2

LCM(302,862) = ( 302 × 862 ) / 2

LCM(302,862) = 260324 / 2

LCM(302,862) = 130162


Lets's calculate GCF of 673,558

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 130162/1

Therefore the LCM of Fractions 302/673,862/558 is 130162

Greatest Common Factor of 673,558 By Matching Biggest Common Factor Method

Greatest Common Factor of 673,558 By Matching Biggest Common Factor Method

Factors of 673

List of positive integer factors of 673 that divides 673 without a remainder.

1,673

Factors of 558

List of positive integer factors of 558 that divides 558 without a remainder.

1,2,3,6,9,18,31,62,93,186,279,558

Greatest Common Factor

We found the factors 673,558 . The biggest common factor number is the GCF number.
So the greatest common factor 673,558 is 1.


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 302/673, 862/558

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 302/673, 862/558?

Answer: LCM of Numerators as per given numbers 302/673, 862/558 is

LCM of Numerators i.e. for 302,862 is 130162

GCF of denominators i.e. for 673,558 is 1.

Thus, LCM of Fractions is 130162.Finally, LCM of Fractions for 302/673, 862/558 is 130162.