Least Common Multiple of 11/476, 31/345, 905/377

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 11/476, 31/345, 905/377 quickly i.e. 308605 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 11/476, 31/345, 905/377 is 308605.

LCM(11/476, 31/345, 905/377) = 308605

LCM of 11/476, 31/345, 905/377

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 11/476,31/345,905/377

Given numbers are 11/476,31/345,905/377

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 11,31,905

Least Common Multiple of Numerators i.e. LCM of 11,31,905 is 308605.

GCF of Denominators means GCF of 476,345,377 as per the given fractions.

GCF of 476,345,377 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 11,31,905

LCM of Fractions 11/476,31/345,905/377 is 308605

Given numbers has no common factors except 1. So, there LCM is their product i.e 308605

Least Common Multiple of 11,31,905 with GCF Formula

Least Common Multiple of 11,31,905 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 11,31,905 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(11,31,905) = 1

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

GCF(11,31,905) x common factors =1 x 1 = 1

LCM(11,31,905) = ( 11 × 31 × 905 ) / 1

LCM(11,31,905) = 308605 / 1

LCM(11,31,905) = 308605


Lets's calculate GCF of 476,345,377

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 308605/1

Therefore the LCM of Fractions 11/476,31/345,905/377 is 308605

Greatest Common Factor of 476,345,377 By Matching Biggest Common Factor Method

Greatest Common Factor of 476,345,377 By Matching Biggest Common Factor Method

Factors of 476

List of positive integer factors of 476 that divides 476 without a remainder.

1,2,4,7,14,17,28,34,68,119,238,476

Factors of 345

List of positive integer factors of 345 that divides 345 without a remainder.

1,3,5,15,23,69,115,345

Factors of 377

List of positive integer factors of 377 that divides 377 without a remainder.

1,13,29,377

Greatest Common Factor

We found the factors 476,345,377 . The biggest common factor number is the GCF number.
So the greatest common factor 476,345,377 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 11/476, 31/345, 905/377

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 11/476, 31/345, 905/377?

Answer: LCM of Numerators as per given numbers 11/476, 31/345, 905/377 is

LCM of Numerators i.e. for 11,31,905 is 308605

GCF of denominators i.e. for 476,345,377 is 1.

Thus, LCM of Fractions is 308605.Finally, LCM of Fractions for 11/476, 31/345, 905/377 is 308605.