Least Common Multiple of 44/84, 446/19, 125/817

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 44/84, 446/19, 125/817 quickly i.e. 1226500 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 44/84, 446/19, 125/817 is 1226500.

LCM(44/84, 446/19, 125/817) = 1226500

LCM of 44/84, 446/19, 125/817

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 44/84,446/19,125/817

Given numbers are 44/84,446/19,125/817

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 44,446,125

Least Common Multiple of Numerators i.e. LCM of 44,446,125 is 1226500.

GCF of Denominators means GCF of 84,19,817 as per the given fractions.

GCF of 84,19,817 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 44,446,125

LCM of Fractions 44/84,446/19,125/817 is 1226500

2 44, 446, 125
22, 223, 125

∴ So the LCM of the given numbers is 2 x 22 x 223 x 125 = 1226500

Least Common Multiple of 44,446,125 with GCF Formula

Least Common Multiple of 44,446,125 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 44,446,125 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,446,125) = 1

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

GCF(44,446,125) x common factors =1 x 2 = 2

LCM(44,446,125) = ( 44 × 446 × 125 ) / 2

LCM(44,446,125) = 2453000 / 2

LCM(44,446,125) = 1226500


Lets's calculate GCF of 84,19,817

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1226500/1

Therefore the LCM of Fractions 44/84,446/19,125/817 is 1226500

Greatest Common Factor of 84,19,817 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,19,817 By Matching Biggest Common Factor Method

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 19

List of positive integer factors of 19 that divides 19 without a remainder.

1,19

Factors of 817

List of positive integer factors of 817 that divides 817 without a remainder.

1,19,43,817

Greatest Common Factor

We found the factors 84,19,817 . The biggest common factor number is the GCF number.
So the greatest common factor 84,19,817 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 44/84, 446/19, 125/817

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 44/84, 446/19, 125/817?

Answer: LCM of Numerators as per given numbers 44/84, 446/19, 125/817 is

LCM of Numerators i.e. for 44,446,125 is 1226500

GCF of denominators i.e. for 84,19,817 is 1.

Thus, LCM of Fractions is 1226500.Finally, LCM of Fractions for 44/84, 446/19, 125/817 is 1226500.