Least Common Multiple of 580/822, 404/697

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 580/822, 404/697 quickly i.e. 58580 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 580/822, 404/697 is 58580.

LCM(580/822, 404/697) = 58580

LCM of 580/822, 404/697

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 580/822,404/697

Given numbers are 580/822,404/697

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 580,404

Least Common Multiple of Numerators i.e. LCM of 580,404 is 58580.

GCF of Denominators means GCF of 822,697 as per the given fractions.

GCF of 822,697 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 580,404

LCM of Fractions 580/822,404/697 is 58580

2 580, 404
2 290, 202
145, 101

∴ So the LCM of the given numbers is 2 x 2 x 145 x 101 = 58580

Least Common Multiple of 580,404 with GCF Formula

Least Common Multiple of 580,404 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 580,404 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(580,404) = 4

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

GCF(580,404) x common factors =4 x 1 = 4

LCM(580,404) = ( 580 × 404 ) / 4

LCM(580,404) = 234320 / 4

LCM(580,404) = 58580


Lets's calculate GCF of 822,697

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 58580/1

Therefore the LCM of Fractions 580/822,404/697 is 58580

Greatest Common Factor of 822,697 By Matching Biggest Common Factor Method

Greatest Common Factor of 822,697 By Matching Biggest Common Factor Method

Factors of 822

List of positive integer factors of 822 that divides 822 without a remainder.

1,2,3,6,137,274,411,822

Factors of 697

List of positive integer factors of 697 that divides 697 without a remainder.

1,17,41,697

Greatest Common Factor

We found the factors 822,697 . The biggest common factor number is the GCF number.
So the greatest common factor 822,697 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 580/822, 404/697

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 580/822, 404/697?

Answer: LCM of Numerators as per given numbers 580/822, 404/697 is

LCM of Numerators i.e. for 580,404 is 58580

GCF of denominators i.e. for 822,697 is 1.

Thus, LCM of Fractions is 58580.Finally, LCM of Fractions for 580/822, 404/697 is 58580.