Least Common Multiple of 436/53, 728/82, 955/965

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 436/53, 728/82, 955/965 quickly i.e. 75781160 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 436/53, 728/82, 955/965 is 75781160.

LCM(436/53, 728/82, 955/965) = 75781160

LCM of 436/53, 728/82, 955/965

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 436/53,728/82,955/965

Given numbers are 436/53,728/82,955/965

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 436,728,955

Least Common Multiple of Numerators i.e. LCM of 436,728,955 is 75781160.

GCF of Denominators means GCF of 53,82,965 as per the given fractions.

GCF of 53,82,965 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 436,728,955

LCM of Fractions 436/53,728/82,955/965 is 75781160

2 436, 728, 955
2 218, 364, 955
109, 182, 955

∴ So the LCM of the given numbers is 2 x 2 x 109 x 182 x 955 = 75781160

Least Common Multiple of 436,728,955 with GCF Formula

Least Common Multiple of 436,728,955 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 436,728,955 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(436,728,955) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(436,728,955) x common factors =1 x 4 = 4

LCM(436,728,955) = ( 436 × 728 × 955 ) / 4

LCM(436,728,955) = 303124640 / 4

LCM(436,728,955) = 75781160


Lets's calculate GCF of 53,82,965

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 75781160/1

Therefore the LCM of Fractions 436/53,728/82,955/965 is 75781160

Greatest Common Factor of 53,82,965 By Matching Biggest Common Factor Method

Greatest Common Factor of 53,82,965 By Matching Biggest Common Factor Method

Factors of 53

List of positive integer factors of 53 that divides 53 without a remainder.

1,53

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 965

List of positive integer factors of 965 that divides 965 without a remainder.

1,5,193,965

Greatest Common Factor

We found the factors 53,82,965 . The biggest common factor number is the GCF number.
So the greatest common factor 53,82,965 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 436/53, 728/82, 955/965

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 436/53, 728/82, 955/965?

Answer: LCM of Numerators as per given numbers 436/53, 728/82, 955/965 is

LCM of Numerators i.e. for 436,728,955 is 75781160

GCF of denominators i.e. for 53,82,965 is 1.

Thus, LCM of Fractions is 75781160.Finally, LCM of Fractions for 436/53, 728/82, 955/965 is 75781160.