Least Common Multiple of 10/894, 71/270, 791/983

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 10/894, 71/270, 791/983 quickly i.e. 561610 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 10/894, 71/270, 791/983 is 561610.

LCM(10/894, 71/270, 791/983) = 561610

LCM of 10/894, 71/270, 791/983

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 10/894,71/270,791/983

Given numbers are 10/894,71/270,791/983

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 10,71,791

Least Common Multiple of Numerators i.e. LCM of 10,71,791 is 561610.

GCF of Denominators means GCF of 894,270,983 as per the given fractions.

GCF of 894,270,983 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 10,71,791

LCM of Fractions 10/894,71/270,791/983 is 561610

Given numbers has no common factors except 1. So, there LCM is their product i.e 561610

Least Common Multiple of 10,71,791 with GCF Formula

Least Common Multiple of 10,71,791 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 10,71,791 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(10,71,791) = 1

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

GCF(10,71,791) x common factors =1 x 1 = 1

LCM(10,71,791) = ( 10 × 71 × 791 ) / 1

LCM(10,71,791) = 561610 / 1

LCM(10,71,791) = 561610


Lets's calculate GCF of 894,270,983

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 561610/1

Therefore the LCM of Fractions 10/894,71/270,791/983 is 561610

Greatest Common Factor of 894,270,983 By Matching Biggest Common Factor Method

Greatest Common Factor of 894,270,983 By Matching Biggest Common Factor Method

Factors of 894

List of positive integer factors of 894 that divides 894 without a remainder.

1,2,3,6,149,298,447,894

Factors of 270

List of positive integer factors of 270 that divides 270 without a remainder.

1,2,3,5,6,9,10,15,18,27,30,45,54,90,135,270

Factors of 983

List of positive integer factors of 983 that divides 983 without a remainder.

1,983

Greatest Common Factor

We found the factors 894,270,983 . The biggest common factor number is the GCF number.
So the greatest common factor 894,270,983 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 10/894, 71/270, 791/983

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 10/894, 71/270, 791/983?

Answer: LCM of Numerators as per given numbers 10/894, 71/270, 791/983 is

LCM of Numerators i.e. for 10,71,791 is 561610

GCF of denominators i.e. for 894,270,983 is 1.

Thus, LCM of Fractions is 561610.Finally, LCM of Fractions for 10/894, 71/270, 791/983 is 561610.