Least Common Multiple of 355/37, 301/27, 676/329

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 355/37, 301/27, 676/329 quickly i.e. 72233980 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 355/37, 301/27, 676/329 is 72233980.

LCM(355/37, 301/27, 676/329) = 72233980

LCM of 355/37, 301/27, 676/329

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 355/37,301/27,676/329

Given numbers are 355/37,301/27,676/329

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 355,301,676

Least Common Multiple of Numerators i.e. LCM of 355,301,676 is 72233980.

GCF of Denominators means GCF of 37,27,329 as per the given fractions.

GCF of 37,27,329 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 355,301,676

LCM of Fractions 355/37,301/27,676/329 is 72233980

Given numbers has no common factors except 1. So, there LCM is their product i.e 72233980

Least Common Multiple of 355,301,676 with GCF Formula

Least Common Multiple of 355,301,676 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 355,301,676 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(355,301,676) = 1

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

GCF(355,301,676) x common factors =1 x 1 = 1

LCM(355,301,676) = ( 355 × 301 × 676 ) / 1

LCM(355,301,676) = 72233980 / 1

LCM(355,301,676) = 72233980


Lets's calculate GCF of 37,27,329

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 72233980/1

Therefore the LCM of Fractions 355/37,301/27,676/329 is 72233980

Greatest Common Factor of 37,27,329 By Matching Biggest Common Factor Method

Greatest Common Factor of 37,27,329 By Matching Biggest Common Factor Method

Factors of 37

List of positive integer factors of 37 that divides 37 without a remainder.

1,37

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 329

List of positive integer factors of 329 that divides 329 without a remainder.

1,7,47,329

Greatest Common Factor

We found the factors 37,27,329 . The biggest common factor number is the GCF number.
So the greatest common factor 37,27,329 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 355/37, 301/27, 676/329

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 355/37, 301/27, 676/329?

Answer: LCM of Numerators as per given numbers 355/37, 301/27, 676/329 is

LCM of Numerators i.e. for 355,301,676 is 72233980

GCF of denominators i.e. for 37,27,329 is 1.

Thus, LCM of Fractions is 72233980.Finally, LCM of Fractions for 355/37, 301/27, 676/329 is 72233980.