Least Common Multiple of 44/475, 92/927, 130/994

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 44/475, 92/927, 130/994 quickly i.e. 65780 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 44/475, 92/927, 130/994 is 65780.

LCM(44/475, 92/927, 130/994) = 65780

LCM of 44/475, 92/927, 130/994

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 44/475,92/927,130/994

Given numbers are 44/475,92/927,130/994

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 44,92,130

Least Common Multiple of Numerators i.e. LCM of 44,92,130 is 65780.

GCF of Denominators means GCF of 475,927,994 as per the given fractions.

GCF of 475,927,994 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 44,92,130

LCM of Fractions 44/475,92/927,130/994 is 65780

2 44, 92, 130
2 22, 46, 65
11, 23, 65

∴ So the LCM of the given numbers is 2 x 2 x 11 x 23 x 65 = 65780

Least Common Multiple of 44,92,130 with GCF Formula

Least Common Multiple of 44,92,130 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 44,92,130 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,92,130) = 2

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

GCF(44,92,130) x common factors =2 x 4 = 8

LCM(44,92,130) = ( 44 × 92 × 130 ) / 8

LCM(44,92,130) = 526240 / 8

LCM(44,92,130) = 65780


Lets's calculate GCF of 475,927,994

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 65780/1

Therefore the LCM of Fractions 44/475,92/927,130/994 is 65780

Greatest Common Factor of 475,927,994 By Matching Biggest Common Factor Method

Greatest Common Factor of 475,927,994 By Matching Biggest Common Factor Method

Factors of 475

List of positive integer factors of 475 that divides 475 without a remainder.

1,5,19,25,95,475

Factors of 927

List of positive integer factors of 927 that divides 927 without a remainder.

1,3,9,103,309,927

Factors of 994

List of positive integer factors of 994 that divides 994 without a remainder.

1,2,7,14,71,142,497,994

Greatest Common Factor

We found the factors 475,927,994 . The biggest common factor number is the GCF number.
So the greatest common factor 475,927,994 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 44/475, 92/927, 130/994

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 44/475, 92/927, 130/994?

Answer: LCM of Numerators as per given numbers 44/475, 92/927, 130/994 is

LCM of Numerators i.e. for 44,92,130 is 65780

GCF of denominators i.e. for 475,927,994 is 1.

Thus, LCM of Fractions is 65780.Finally, LCM of Fractions for 44/475, 92/927, 130/994 is 65780.