Least Common Multiple of 7556/270, 9900/3129

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7556/270, 9900/3129 quickly i.e. 6233700 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7556/270, 9900/3129 is 6233700.

LCM(7556/270, 9900/3129) = 6233700

LCM of 7556/270, 9900/3129

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 7556/270,9900/3129

Given numbers are 7556/270,9900/3129

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 7556,9900

Least Common Multiple of Numerators i.e. LCM of 7556,9900 is 18701100.

GCF of Denominators means GCF of 270,3129 as per the given fractions.

GCF of 270,3129 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7556,9900

LCM of Fractions 7556/270,9900/3129 is 6233700

2 7556, 9900
2 3778, 4950
1889, 2475

∴ So the LCM of the given numbers is 2 x 2 x 1889 x 2475 = 18701100

Least Common Multiple of 7556,9900 with GCF Formula

Least Common Multiple of 7556,9900 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 7556,9900 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7556,9900) = 4

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

GCF(7556,9900) x common factors =4 x 1 = 4

LCM(7556,9900) = ( 7556 × 9900 ) / 4

LCM(7556,9900) = 74804400 / 4

LCM(7556,9900) = 18701100


Lets's calculate GCF of 270,3129

3 270, 3129
90, 1043

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18701100/3

Therefore the LCM of Fractions 7556/270,9900/3129 is 6233700

Greatest Common Factor of 270,3129 By Matching Biggest Common Factor Method

Greatest Common Factor of 270,3129 By Matching Biggest Common Factor Method

Factors of 270

List of positive integer factors of 270 that divides 270 without a remainder.

1,2,3,5,6,9,10,15,18,27,30,45,54,90,135,270

Factors of 3129

List of positive integer factors of 3129 that divides 3129 without a remainder.

1,3,7,21,149,447,1043,3129

Greatest Common Factor

We found the factors 270,3129 . The biggest common factor number is the GCF number.
So the greatest common factor 270,3129 is 3.


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 7556/270, 9900/3129

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 7556/270, 9900/3129?

Answer: LCM of Numerators as per given numbers 7556/270, 9900/3129 is

LCM of Numerators i.e. for 7556,9900 is 18701100

GCF of denominators i.e. for 270,3129 is 3.

Thus, LCM of Fractions is 6233700.Finally, LCM of Fractions for 7556/270, 9900/3129 is 6233700.