Least Common Multiple of 909/476, 1780/5675

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 909/476, 1780/5675 quickly i.e. 1618020 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 909/476, 1780/5675 is 1618020.

LCM(909/476, 1780/5675) = 1618020

LCM of 909/476, 1780/5675

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 909/476,1780/5675

Given numbers are 909/476,1780/5675

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 909,1780

Least Common Multiple of Numerators i.e. LCM of 909,1780 is 1618020.

GCF of Denominators means GCF of 476,5675 as per the given fractions.

GCF of 476,5675 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 909,1780

LCM of Fractions 909/476,1780/5675 is 1618020

Given numbers has no common factors except 1. So, there LCM is their product i.e 1618020

Least Common Multiple of 909,1780 with GCF Formula

Least Common Multiple of 909,1780 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 909,1780 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(909,1780) = 1

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

GCF(909,1780) x common factors =1 x 1 = 1

LCM(909,1780) = ( 909 × 1780 ) / 1

LCM(909,1780) = 1618020 / 1

LCM(909,1780) = 1618020


Lets's calculate GCF of 476,5675

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1618020/1

Therefore the LCM of Fractions 909/476,1780/5675 is 1618020

Greatest Common Factor of 476,5675 By Matching Biggest Common Factor Method

Greatest Common Factor of 476,5675 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 5675

List of positive integer factors of 5675 that divides 5675 without a remainder.

1,5,25,227,1135,5675

Greatest Common Factor

We found the factors 476,5675 . The biggest common factor number is the GCF number.
So the greatest common factor 476,5675 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 909/476, 1780/5675

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 909/476, 1780/5675?

Answer: LCM of Numerators as per given numbers 909/476, 1780/5675 is

LCM of Numerators i.e. for 909,1780 is 1618020

GCF of denominators i.e. for 476,5675 is 1.

Thus, LCM of Fractions is 1618020.Finally, LCM of Fractions for 909/476, 1780/5675 is 1618020.