Least Common Multiple of 329/644, 979/310, 380/690

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 329/644, 979/310, 380/690 quickly i.e. 61197290 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 329/644, 979/310, 380/690 is 61197290.

LCM(329/644, 979/310, 380/690) = 61197290

LCM of 329/644, 979/310, 380/690

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 329/644,979/310,380/690

Given numbers are 329/644,979/310,380/690

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 329,979,380

Least Common Multiple of Numerators i.e. LCM of 329,979,380 is 122394580.

GCF of Denominators means GCF of 644,310,690 as per the given fractions.

GCF of 644,310,690 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 329,979,380

LCM of Fractions 329/644,979/310,380/690 is 61197290

Given numbers has no common factors except 1. So, there LCM is their product i.e 122394580

Least Common Multiple of 329,979,380 with GCF Formula

Least Common Multiple of 329,979,380 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 329,979,380 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(329,979,380) = 1

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

GCF(329,979,380) x common factors =1 x 1 = 1

LCM(329,979,380) = ( 329 × 979 × 380 ) / 1

LCM(329,979,380) = 122394580 / 1

LCM(329,979,380) = 122394580


Lets's calculate GCF of 644,310,690

2 644, 310, 690
322, 155, 345

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 122394580/2

Therefore the LCM of Fractions 329/644,979/310,380/690 is 61197290

Greatest Common Factor of 644,310,690 By Matching Biggest Common Factor Method

Greatest Common Factor of 644,310,690 By Matching Biggest Common Factor Method

Factors of 644

List of positive integer factors of 644 that divides 644 without a remainder.

1,2,4,7,14,23,28,46,92,161,322,644

Factors of 310

List of positive integer factors of 310 that divides 310 without a remainder.

1,2,5,10,31,62,155,310

Factors of 690

List of positive integer factors of 690 that divides 690 without a remainder.

1,2,3,5,6,10,15,23,30,46,69,115,138,230,345,690

Greatest Common Factor

We found the factors 644,310,690 . The biggest common factor number is the GCF number.
So the greatest common factor 644,310,690 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 329/644, 979/310, 380/690

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 329/644, 979/310, 380/690?

Answer: LCM of Numerators as per given numbers 329/644, 979/310, 380/690 is

LCM of Numerators i.e. for 329,979,380 is 122394580

GCF of denominators i.e. for 644,310,690 is 2.

Thus, LCM of Fractions is 61197290.Finally, LCM of Fractions for 329/644, 979/310, 380/690 is 61197290.