Least Common Multiple of 442/748, 9142/297

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 442/748, 9142/297 quickly i.e. 2020382/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 442/748, 9142/297 is 2020382/11.

LCM(442/748, 9142/297) = 2020382/11

LCM of 442/748, 9142/297

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 442/748,9142/297

Given numbers are 442/748,9142/297

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 442,9142

Least Common Multiple of Numerators i.e. LCM of 442,9142 is 2020382.

GCF of Denominators means GCF of 748,297 as per the given fractions.

GCF of 748,297 is 11 as it is the largest common factor for these numbers.

Lets's calculate LCM of 442,9142

LCM of Fractions 442/748,9142/297 is 2020382/11

2 442, 9142
221, 4571

∴ So the LCM of the given numbers is 2 x 221 x 4571 = 2020382

Least Common Multiple of 442,9142 with GCF Formula

Least Common Multiple of 442,9142 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 442,9142 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(442,9142) = 2

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

GCF(442,9142) x common factors =2 x 1 = 2

LCM(442,9142) = ( 442 × 9142 ) / 2

LCM(442,9142) = 4040764 / 2

LCM(442,9142) = 2020382


Lets's calculate GCF of 748,297

11 748, 297
68, 27

∴ So the GCF of the given numbers is 11 = 11

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2020382/11

Therefore the LCM of Fractions 442/748,9142/297 is 2020382/11

Greatest Common Factor of 748,297 By Matching Biggest Common Factor Method

Greatest Common Factor of 748,297 By Matching Biggest Common Factor Method

Factors of 748

List of positive integer factors of 748 that divides 748 without a remainder.

1,2,4,11,17,22,34,44,68,187,374,748

Factors of 297

List of positive integer factors of 297 that divides 297 without a remainder.

1,3,9,11,27,33,99,297

Greatest Common Factor

We found the factors 748,297 . The biggest common factor number is the GCF number.
So the greatest common factor 748,297 is 11.


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 442/748, 9142/297

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 442/748, 9142/297?

Answer: LCM of Numerators as per given numbers 442/748, 9142/297 is

LCM of Numerators i.e. for 442,9142 is 2020382

GCF of denominators i.e. for 748,297 is 11.

Thus, LCM of Fractions is 2020382/11.Finally, LCM of Fractions for 442/748, 9142/297 is 2020382/11.