Least Common Multiple of 74/659, 913/443, 380/353

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 74/659, 913/443, 380/353 quickly i.e. 12836780 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 74/659, 913/443, 380/353 is 12836780.

LCM(74/659, 913/443, 380/353) = 12836780

LCM of 74/659, 913/443, 380/353

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 74/659,913/443,380/353

Given numbers are 74/659,913/443,380/353

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 74,913,380

Least Common Multiple of Numerators i.e. LCM of 74,913,380 is 12836780.

GCF of Denominators means GCF of 659,443,353 as per the given fractions.

GCF of 659,443,353 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 74,913,380

LCM of Fractions 74/659,913/443,380/353 is 12836780

2 74, 913, 380
37, 913, 190

∴ So the LCM of the given numbers is 2 x 37 x 913 x 190 = 12836780

Least Common Multiple of 74,913,380 with GCF Formula

Least Common Multiple of 74,913,380 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 74,913,380 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,913,380) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(74,913,380) x common factors =1 x 2 = 2

LCM(74,913,380) = ( 74 × 913 × 380 ) / 2

LCM(74,913,380) = 25673560 / 2

LCM(74,913,380) = 12836780


Lets's calculate GCF of 659,443,353

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12836780/1

Therefore the LCM of Fractions 74/659,913/443,380/353 is 12836780

Greatest Common Factor of 659,443,353 By Matching Biggest Common Factor Method

Greatest Common Factor of 659,443,353 By Matching Biggest Common Factor Method

Factors of 659

List of positive integer factors of 659 that divides 659 without a remainder.

1,659

Factors of 443

List of positive integer factors of 443 that divides 443 without a remainder.

1,443

Factors of 353

List of positive integer factors of 353 that divides 353 without a remainder.

1,353

Greatest Common Factor

We found the factors 659,443,353 . The biggest common factor number is the GCF number.
So the greatest common factor 659,443,353 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 74/659, 913/443, 380/353

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 74/659, 913/443, 380/353?

Answer: LCM of Numerators as per given numbers 74/659, 913/443, 380/353 is

LCM of Numerators i.e. for 74,913,380 is 12836780

GCF of denominators i.e. for 659,443,353 is 1.

Thus, LCM of Fractions is 12836780.Finally, LCM of Fractions for 74/659, 913/443, 380/353 is 12836780.