Least Common Multiple of 17/981, 844/305, 436/642

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 17/981, 844/305, 436/642 quickly i.e. 1563932 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 17/981, 844/305, 436/642 is 1563932.

LCM(17/981, 844/305, 436/642) = 1563932

LCM of 17/981, 844/305, 436/642

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 17/981,844/305,436/642

Given numbers are 17/981,844/305,436/642

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 17,844,436

Least Common Multiple of Numerators i.e. LCM of 17,844,436 is 1563932.

GCF of Denominators means GCF of 981,305,642 as per the given fractions.

GCF of 981,305,642 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 17,844,436

LCM of Fractions 17/981,844/305,436/642 is 1563932

2 17, 844, 436
2 17, 422, 218
17, 211, 109

∴ So the LCM of the given numbers is 2 x 2 x 17 x 211 x 109 = 1563932

Least Common Multiple of 17,844,436 with GCF Formula

Least Common Multiple of 17,844,436 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 17,844,436 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,844,436) = 1

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

GCF(17,844,436) x common factors =1 x 4 = 4

LCM(17,844,436) = ( 17 × 844 × 436 ) / 4

LCM(17,844,436) = 6255728 / 4

LCM(17,844,436) = 1563932


Lets's calculate GCF of 981,305,642

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1563932/1

Therefore the LCM of Fractions 17/981,844/305,436/642 is 1563932

Greatest Common Factor of 981,305,642 By Matching Biggest Common Factor Method

Greatest Common Factor of 981,305,642 By Matching Biggest Common Factor Method

Factors of 981

List of positive integer factors of 981 that divides 981 without a remainder.

1,3,9,109,327,981

Factors of 305

List of positive integer factors of 305 that divides 305 without a remainder.

1,5,61,305

Factors of 642

List of positive integer factors of 642 that divides 642 without a remainder.

1,2,3,6,107,214,321,642

Greatest Common Factor

We found the factors 981,305,642 . The biggest common factor number is the GCF number.
So the greatest common factor 981,305,642 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 17/981, 844/305, 436/642

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 17/981, 844/305, 436/642?

Answer: LCM of Numerators as per given numbers 17/981, 844/305, 436/642 is

LCM of Numerators i.e. for 17,844,436 is 1563932

GCF of denominators i.e. for 981,305,642 is 1.

Thus, LCM of Fractions is 1563932.Finally, LCM of Fractions for 17/981, 844/305, 436/642 is 1563932.