Least Common Multiple of 382/36, 8010/982

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 382/36, 8010/982 quickly i.e. 764955 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 382/36, 8010/982 is 764955.

LCM(382/36, 8010/982) = 764955

LCM of 382/36, 8010/982

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 382/36,8010/982

Given numbers are 382/36,8010/982

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 382,8010

Least Common Multiple of Numerators i.e. LCM of 382,8010 is 1529910.

GCF of Denominators means GCF of 36,982 as per the given fractions.

GCF of 36,982 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 382,8010

LCM of Fractions 382/36,8010/982 is 764955

2 382, 8010
191, 4005

∴ So the LCM of the given numbers is 2 x 191 x 4005 = 1529910

Least Common Multiple of 382,8010 with GCF Formula

Least Common Multiple of 382,8010 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 382,8010 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(382,8010) = 2

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

GCF(382,8010) x common factors =2 x 1 = 2

LCM(382,8010) = ( 382 × 8010 ) / 2

LCM(382,8010) = 3059820 / 2

LCM(382,8010) = 1529910


Lets's calculate GCF of 36,982

2 36, 982
18, 491

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1529910/2

Therefore the LCM of Fractions 382/36,8010/982 is 764955

Greatest Common Factor of 36,982 By Matching Biggest Common Factor Method

Greatest Common Factor of 36,982 By Matching Biggest Common Factor Method

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

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 36,982 . The biggest common factor number is the GCF number.
So the greatest common factor 36,982 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 382/36, 8010/982

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 382/36, 8010/982?

Answer: LCM of Numerators as per given numbers 382/36, 8010/982 is

LCM of Numerators i.e. for 382,8010 is 1529910

GCF of denominators i.e. for 36,982 is 2.

Thus, LCM of Fractions is 764955.Finally, LCM of Fractions for 382/36, 8010/982 is 764955.