Least Common Multiple of 9900/801, 1844/7542

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9900/801, 1844/7542 quickly i.e. 507100 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9900/801, 1844/7542 is 507100.

LCM(9900/801, 1844/7542) = 507100

LCM of 9900/801, 1844/7542

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 9900/801,1844/7542

Given numbers are 9900/801,1844/7542

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 9900,1844

Least Common Multiple of Numerators i.e. LCM of 9900,1844 is 4563900.

GCF of Denominators means GCF of 801,7542 as per the given fractions.

GCF of 801,7542 is 9 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9900,1844

LCM of Fractions 9900/801,1844/7542 is 507100

2 9900, 1844
2 4950, 922
2475, 461

∴ So the LCM of the given numbers is 2 x 2 x 2475 x 461 = 4563900

Least Common Multiple of 9900,1844 with GCF Formula

Least Common Multiple of 9900,1844 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 9900,1844 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9900,1844) = 4

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

GCF(9900,1844) x common factors =4 x 1 = 4

LCM(9900,1844) = ( 9900 × 1844 ) / 4

LCM(9900,1844) = 18255600 / 4

LCM(9900,1844) = 4563900


Lets's calculate GCF of 801,7542

3 801, 7542
3 267, 2514
89, 838

∴ So the GCF of the given numbers is 3 x 3 = 9

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4563900/9

Therefore the LCM of Fractions 9900/801,1844/7542 is 507100

Greatest Common Factor of 801,7542 By Matching Biggest Common Factor Method

Greatest Common Factor of 801,7542 By Matching Biggest Common Factor Method

Factors of 801

List of positive integer factors of 801 that divides 801 without a remainder.

1,3,9,89,267,801

Factors of 7542

List of positive integer factors of 7542 that divides 7542 without a remainder.

1,2,3,6,9,18,419,838,1257,2514,3771,7542

Greatest Common Factor

We found the factors 801,7542 . The biggest common factor number is the GCF number.
So the greatest common factor 801,7542 is 9.


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 9900/801, 1844/7542

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 9900/801, 1844/7542?

Answer: LCM of Numerators as per given numbers 9900/801, 1844/7542 is

LCM of Numerators i.e. for 9900,1844 is 4563900

GCF of denominators i.e. for 801,7542 is 9.

Thus, LCM of Fractions is 507100.Finally, LCM of Fractions for 9900/801, 1844/7542 is 507100.