Least Common Multiple of 974/989, 281/805

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 974/989, 281/805 quickly i.e. 273694/23 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 974/989, 281/805 is 273694/23.

LCM(974/989, 281/805) = 273694/23

LCM of 974/989, 281/805

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 974/989,281/805

Given numbers are 974/989,281/805

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 974,281

Least Common Multiple of Numerators i.e. LCM of 974,281 is 273694.

GCF of Denominators means GCF of 989,805 as per the given fractions.

GCF of 989,805 is 23 as it is the largest common factor for these numbers.

Lets's calculate LCM of 974,281

LCM of Fractions 974/989,281/805 is 273694/23

Given numbers has no common factors except 1. So, there LCM is their product i.e 273694

Least Common Multiple of 974,281 with GCF Formula

Least Common Multiple of 974,281 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 974,281 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(974,281) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(974,281) x common factors =1 x 1 = 1

LCM(974,281) = ( 974 × 281 ) / 1

LCM(974,281) = 273694 / 1

LCM(974,281) = 273694


Lets's calculate GCF of 989,805

23 989, 805
43, 35

∴ So the GCF of the given numbers is 23 = 23

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 273694/23

Therefore the LCM of Fractions 974/989,281/805 is 273694/23

Greatest Common Factor of 989,805 By Matching Biggest Common Factor Method

Greatest Common Factor of 989,805 By Matching Biggest Common Factor Method

Factors of 989

List of positive integer factors of 989 that divides 989 without a remainder.

1,23,43,989

Factors of 805

List of positive integer factors of 805 that divides 805 without a remainder.

1,5,7,23,35,115,161,805

Greatest Common Factor

We found the factors 989,805 . The biggest common factor number is the GCF number.
So the greatest common factor 989,805 is 23.


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 974/989, 281/805

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 974/989, 281/805?

Answer: LCM of Numerators as per given numbers 974/989, 281/805 is

LCM of Numerators i.e. for 974,281 is 273694

GCF of denominators i.e. for 989,805 is 23.

Thus, LCM of Fractions is 273694/23.Finally, LCM of Fractions for 974/989, 281/805 is 273694/23.