Least Common Multiple of 1982/101, 4330/1242

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1982/101, 4330/1242 quickly i.e. 4291030 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1982/101, 4330/1242 is 4291030.

LCM(1982/101, 4330/1242) = 4291030

LCM of 1982/101, 4330/1242

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 1982/101,4330/1242

Given numbers are 1982/101,4330/1242

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 1982,4330

Least Common Multiple of Numerators i.e. LCM of 1982,4330 is 4291030.

GCF of Denominators means GCF of 101,1242 as per the given fractions.

GCF of 101,1242 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1982,4330

LCM of Fractions 1982/101,4330/1242 is 4291030

2 1982, 4330
991, 2165

∴ So the LCM of the given numbers is 2 x 991 x 2165 = 4291030

Least Common Multiple of 1982,4330 with GCF Formula

Least Common Multiple of 1982,4330 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 1982,4330 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1982,4330) = 2

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

GCF(1982,4330) x common factors =2 x 1 = 2

LCM(1982,4330) = ( 1982 × 4330 ) / 2

LCM(1982,4330) = 8582060 / 2

LCM(1982,4330) = 4291030


Lets's calculate GCF of 101,1242

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4291030/1

Therefore the LCM of Fractions 1982/101,4330/1242 is 4291030

Greatest Common Factor of 101,1242 By Matching Biggest Common Factor Method

Greatest Common Factor of 101,1242 By Matching Biggest Common Factor Method

Factors of 101

List of positive integer factors of 101 that divides 101 without a remainder.

1,101

Factors of 1242

List of positive integer factors of 1242 that divides 1242 without a remainder.

1,2,3,6,9,18,23,27,46,54,69,138,207,414,621,1242

Greatest Common Factor

We found the factors 101,1242 . The biggest common factor number is the GCF number.
So the greatest common factor 101,1242 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 1982/101, 4330/1242

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 1982/101, 4330/1242?

Answer: LCM of Numerators as per given numbers 1982/101, 4330/1242 is

LCM of Numerators i.e. for 1982,4330 is 4291030

GCF of denominators i.e. for 101,1242 is 1.

Thus, LCM of Fractions is 4291030.Finally, LCM of Fractions for 1982/101, 4330/1242 is 4291030.