Least Common Multiple of 837/65, 461/56, 404/384

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 837/65, 461/56, 404/384 quickly i.e. 155886228 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 837/65, 461/56, 404/384 is 155886228.

LCM(837/65, 461/56, 404/384) = 155886228

LCM of 837/65, 461/56, 404/384

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 837/65,461/56,404/384

Given numbers are 837/65,461/56,404/384

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 837,461,404

Least Common Multiple of Numerators i.e. LCM of 837,461,404 is 155886228.

GCF of Denominators means GCF of 65,56,384 as per the given fractions.

GCF of 65,56,384 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 837,461,404

LCM of Fractions 837/65,461/56,404/384 is 155886228

Given numbers has no common factors except 1. So, there LCM is their product i.e 155886228

Least Common Multiple of 837,461,404 with GCF Formula

Least Common Multiple of 837,461,404 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 837,461,404 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(837,461,404) = 1

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

GCF(837,461,404) x common factors =1 x 1 = 1

LCM(837,461,404) = ( 837 × 461 × 404 ) / 1

LCM(837,461,404) = 155886228 / 1

LCM(837,461,404) = 155886228


Lets's calculate GCF of 65,56,384

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 155886228/1

Therefore the LCM of Fractions 837/65,461/56,404/384 is 155886228

Greatest Common Factor of 65,56,384 By Matching Biggest Common Factor Method

Greatest Common Factor of 65,56,384 By Matching Biggest Common Factor Method

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 384

List of positive integer factors of 384 that divides 384 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,384

Greatest Common Factor

We found the factors 65,56,384 . The biggest common factor number is the GCF number.
So the greatest common factor 65,56,384 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 837/65, 461/56, 404/384

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 837/65, 461/56, 404/384?

Answer: LCM of Numerators as per given numbers 837/65, 461/56, 404/384 is

LCM of Numerators i.e. for 837,461,404 is 155886228

GCF of denominators i.e. for 65,56,384 is 1.

Thus, LCM of Fractions is 155886228.Finally, LCM of Fractions for 837/65, 461/56, 404/384 is 155886228.