Least Common Multiple of 580/84, 889/45, 379/669

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 580/84, 889/45, 379/669 quickly i.e. 195419980/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 580/84, 889/45, 379/669 is 195419980/3.

LCM(580/84, 889/45, 379/669) = 195419980/3

LCM of 580/84, 889/45, 379/669

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 580/84,889/45,379/669

Given numbers are 580/84,889/45,379/669

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 580,889,379

Least Common Multiple of Numerators i.e. LCM of 580,889,379 is 195419980.

GCF of Denominators means GCF of 84,45,669 as per the given fractions.

GCF of 84,45,669 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 580,889,379

LCM of Fractions 580/84,889/45,379/669 is 195419980/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 195419980

Least Common Multiple of 580,889,379 with GCF Formula

Least Common Multiple of 580,889,379 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 580,889,379 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(580,889,379) = 1

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

GCF(580,889,379) x common factors =1 x 1 = 1

LCM(580,889,379) = ( 580 × 889 × 379 ) / 1

LCM(580,889,379) = 195419980 / 1

LCM(580,889,379) = 195419980


Lets's calculate GCF of 84,45,669

3 84, 45, 669
28, 15, 223

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 195419980/3

Therefore the LCM of Fractions 580/84,889/45,379/669 is 195419980/3

Greatest Common Factor of 84,45,669 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,45,669 By Matching Biggest Common Factor Method

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 669

List of positive integer factors of 669 that divides 669 without a remainder.

1,3,223,669

Greatest Common Factor

We found the factors 84,45,669 . The biggest common factor number is the GCF number.
So the greatest common factor 84,45,669 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 580/84, 889/45, 379/669

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 580/84, 889/45, 379/669?

Answer: LCM of Numerators as per given numbers 580/84, 889/45, 379/669 is

LCM of Numerators i.e. for 580,889,379 is 195419980

GCF of denominators i.e. for 84,45,669 is 3.

Thus, LCM of Fractions is 195419980/3.Finally, LCM of Fractions for 580/84, 889/45, 379/669 is 195419980/3.