Least Common Multiple of 679/450, 946/578

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 679/450, 946/578 quickly i.e. 321167 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 679/450, 946/578 is 321167.

LCM(679/450, 946/578) = 321167

LCM of 679/450, 946/578

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 679/450,946/578

Given numbers are 679/450,946/578

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 679,946

Least Common Multiple of Numerators i.e. LCM of 679,946 is 642334.

GCF of Denominators means GCF of 450,578 as per the given fractions.

GCF of 450,578 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 679,946

LCM of Fractions 679/450,946/578 is 321167

Given numbers has no common factors except 1. So, there LCM is their product i.e 642334

Least Common Multiple of 679,946 with GCF Formula

Least Common Multiple of 679,946 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 679,946 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(679,946) = 1

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

GCF(679,946) x common factors =1 x 1 = 1

LCM(679,946) = ( 679 × 946 ) / 1

LCM(679,946) = 642334 / 1

LCM(679,946) = 642334


Lets's calculate GCF of 450,578

2 450, 578
225, 289

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 642334/2

Therefore the LCM of Fractions 679/450,946/578 is 321167

Greatest Common Factor of 450,578 By Matching Biggest Common Factor Method

Greatest Common Factor of 450,578 By Matching Biggest Common Factor Method

Factors of 450

List of positive integer factors of 450 that divides 450 without a remainder.

1,2,3,5,6,9,10,15,18,25,30,45,50,75,90,150,225,450

Factors of 578

List of positive integer factors of 578 that divides 578 without a remainder.

1,2,17,34,289,578

Greatest Common Factor

We found the factors 450,578 . The biggest common factor number is the GCF number.
So the greatest common factor 450,578 is 2.


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 679/450, 946/578

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 679/450, 946/578?

Answer: LCM of Numerators as per given numbers 679/450, 946/578 is

LCM of Numerators i.e. for 679,946 is 642334

GCF of denominators i.e. for 450,578 is 2.

Thus, LCM of Fractions is 321167.Finally, LCM of Fractions for 679/450, 946/578 is 321167.