Least Common Multiple of 49/405, 76/872, 205/461

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 49/405, 76/872, 205/461 quickly i.e. 763420 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 49/405, 76/872, 205/461 is 763420.

LCM(49/405, 76/872, 205/461) = 763420

LCM of 49/405, 76/872, 205/461

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 49/405,76/872,205/461

Given numbers are 49/405,76/872,205/461

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 49,76,205

Least Common Multiple of Numerators i.e. LCM of 49,76,205 is 763420.

GCF of Denominators means GCF of 405,872,461 as per the given fractions.

GCF of 405,872,461 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 49,76,205

LCM of Fractions 49/405,76/872,205/461 is 763420

Given numbers has no common factors except 1. So, there LCM is their product i.e 763420

Least Common Multiple of 49,76,205 with GCF Formula

Least Common Multiple of 49,76,205 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 49,76,205 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,76,205) = 1

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

GCF(49,76,205) x common factors =1 x 1 = 1

LCM(49,76,205) = ( 49 × 76 × 205 ) / 1

LCM(49,76,205) = 763420 / 1

LCM(49,76,205) = 763420


Lets's calculate GCF of 405,872,461

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 763420/1

Therefore the LCM of Fractions 49/405,76/872,205/461 is 763420

Greatest Common Factor of 405,872,461 By Matching Biggest Common Factor Method

Greatest Common Factor of 405,872,461 By Matching Biggest Common Factor Method

Factors of 405

List of positive integer factors of 405 that divides 405 without a remainder.

1,3,5,9,15,27,45,81,135,405

Factors of 872

List of positive integer factors of 872 that divides 872 without a remainder.

1,2,4,8,109,218,436,872

Factors of 461

List of positive integer factors of 461 that divides 461 without a remainder.

1,461

Greatest Common Factor

We found the factors 405,872,461 . The biggest common factor number is the GCF number.
So the greatest common factor 405,872,461 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 49/405, 76/872, 205/461

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 49/405, 76/872, 205/461?

Answer: LCM of Numerators as per given numbers 49/405, 76/872, 205/461 is

LCM of Numerators i.e. for 49,76,205 is 763420

GCF of denominators i.e. for 405,872,461 is 1.

Thus, LCM of Fractions is 763420.Finally, LCM of Fractions for 49/405, 76/872, 205/461 is 763420.