Least Common Multiple of 7842/42, 9029/988

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7842/42, 9029/988 quickly i.e. 35402709 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7842/42, 9029/988 is 35402709.

LCM(7842/42, 9029/988) = 35402709

LCM of 7842/42, 9029/988

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 7842/42,9029/988

Given numbers are 7842/42,9029/988

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 7842,9029

Least Common Multiple of Numerators i.e. LCM of 7842,9029 is 70805418.

GCF of Denominators means GCF of 42,988 as per the given fractions.

GCF of 42,988 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7842,9029

LCM of Fractions 7842/42,9029/988 is 35402709

Given numbers has no common factors except 1. So, there LCM is their product i.e 70805418

Least Common Multiple of 7842,9029 with GCF Formula

Least Common Multiple of 7842,9029 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 7842,9029 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7842,9029) = 1

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

GCF(7842,9029) x common factors =1 x 1 = 1

LCM(7842,9029) = ( 7842 × 9029 ) / 1

LCM(7842,9029) = 70805418 / 1

LCM(7842,9029) = 70805418


Lets's calculate GCF of 42,988

2 42, 988
21, 494

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 70805418/2

Therefore the LCM of Fractions 7842/42,9029/988 is 35402709

Greatest Common Factor of 42,988 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,988 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 988

List of positive integer factors of 988 that divides 988 without a remainder.

1,2,4,13,19,26,38,52,76,247,494,988

Greatest Common Factor

We found the factors 42,988 . The biggest common factor number is the GCF number.
So the greatest common factor 42,988 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 7842/42, 9029/988

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 7842/42, 9029/988?

Answer: LCM of Numerators as per given numbers 7842/42, 9029/988 is

LCM of Numerators i.e. for 7842,9029 is 70805418

GCF of denominators i.e. for 42,988 is 2.

Thus, LCM of Fractions is 35402709.Finally, LCM of Fractions for 7842/42, 9029/988 is 35402709.