Least Common Multiple of 71/722, 30/982

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 71/722, 30/982 quickly i.e. 1065 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 71/722, 30/982 is 1065.

LCM(71/722, 30/982) = 1065

LCM of 71/722, 30/982

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 71/722,30/982

Given numbers are 71/722,30/982

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 71,30

Least Common Multiple of Numerators i.e. LCM of 71,30 is 2130.

GCF of Denominators means GCF of 722,982 as per the given fractions.

GCF of 722,982 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 71,30

LCM of Fractions 71/722,30/982 is 1065

Given numbers has no common factors except 1. So, there LCM is their product i.e 2130

Least Common Multiple of 71,30 with GCF Formula

Least Common Multiple of 71,30 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 71,30 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,30) = 1

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

GCF(71,30) x common factors =1 x 1 = 1

LCM(71,30) = ( 71 × 30 ) / 1

LCM(71,30) = 2130 / 1

LCM(71,30) = 2130


Lets's calculate GCF of 722,982

2 722, 982
361, 491

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2130/2

Therefore the LCM of Fractions 71/722,30/982 is 1065

Greatest Common Factor of 722,982 By Matching Biggest Common Factor Method

Greatest Common Factor of 722,982 By Matching Biggest Common Factor Method

Factors of 722

List of positive integer factors of 722 that divides 722 without a remainder.

1,2,19,38,361,722

Factors of 982

List of positive integer factors of 982 that divides 982 without a remainder.

1,2,491,982

Greatest Common Factor

We found the factors 722,982 . The biggest common factor number is the GCF number.
So the greatest common factor 722,982 is 2.


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 71/722, 30/982

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 71/722, 30/982?

Answer: LCM of Numerators as per given numbers 71/722, 30/982 is

LCM of Numerators i.e. for 71,30 is 2130

GCF of denominators i.e. for 722,982 is 2.

Thus, LCM of Fractions is 1065.Finally, LCM of Fractions for 71/722, 30/982 is 1065.