Least Common Multiple of 44/91, 58/69, 507/395

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 44/91, 58/69, 507/395 quickly i.e. 646932 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 44/91, 58/69, 507/395 is 646932.

LCM(44/91, 58/69, 507/395) = 646932

LCM of 44/91, 58/69, 507/395

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 44/91,58/69,507/395

Given numbers are 44/91,58/69,507/395

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 44,58,507

Least Common Multiple of Numerators i.e. LCM of 44,58,507 is 646932.

GCF of Denominators means GCF of 91,69,395 as per the given fractions.

GCF of 91,69,395 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 44,58,507

LCM of Fractions 44/91,58/69,507/395 is 646932

2 44, 58, 507
22, 29, 507

∴ So the LCM of the given numbers is 2 x 22 x 29 x 507 = 646932

Least Common Multiple of 44,58,507 with GCF Formula

Least Common Multiple of 44,58,507 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 44,58,507 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,58,507) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(44,58,507) x common factors =1 x 2 = 2

LCM(44,58,507) = ( 44 × 58 × 507 ) / 2

LCM(44,58,507) = 1293864 / 2

LCM(44,58,507) = 646932


Lets's calculate GCF of 91,69,395

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 646932/1

Therefore the LCM of Fractions 44/91,58/69,507/395 is 646932

Greatest Common Factor of 91,69,395 By Matching Biggest Common Factor Method

Greatest Common Factor of 91,69,395 By Matching Biggest Common Factor Method

Factors of 91

List of positive integer factors of 91 that divides 91 without a remainder.

1,7,13,91

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 395

List of positive integer factors of 395 that divides 395 without a remainder.

1,5,79,395

Greatest Common Factor

We found the factors 91,69,395 . The biggest common factor number is the GCF number.
So the greatest common factor 91,69,395 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 44/91, 58/69, 507/395

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 44/91, 58/69, 507/395?

Answer: LCM of Numerators as per given numbers 44/91, 58/69, 507/395 is

LCM of Numerators i.e. for 44,58,507 is 646932

GCF of denominators i.e. for 91,69,395 is 1.

Thus, LCM of Fractions is 646932.Finally, LCM of Fractions for 44/91, 58/69, 507/395 is 646932.