Least Common Multiple of 9900/12, 7660/924

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9900/12, 7660/924 quickly i.e. 315975 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9900/12, 7660/924 is 315975.

LCM(9900/12, 7660/924) = 315975

LCM of 9900/12, 7660/924

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 9900/12,7660/924

Given numbers are 9900/12,7660/924

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 9900,7660

Least Common Multiple of Numerators i.e. LCM of 9900,7660 is 3791700.

GCF of Denominators means GCF of 12,924 as per the given fractions.

GCF of 12,924 is 12 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9900,7660

LCM of Fractions 9900/12,7660/924 is 315975

2 9900, 7660
2 4950, 3830
5 2475, 1915
495, 383

∴ So the LCM of the given numbers is 2 x 2 x 5 x 495 x 383 = 3791700

Least Common Multiple of 9900,7660 with GCF Formula

Least Common Multiple of 9900,7660 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 9900,7660 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9900,7660) = 20

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

GCF(9900,7660) x common factors =20 x 1 = 20

LCM(9900,7660) = ( 9900 × 7660 ) / 20

LCM(9900,7660) = 75834000 / 20

LCM(9900,7660) = 3791700


Lets's calculate GCF of 12,924

2 12, 924
2 6, 462
3 3, 231
1, 77

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3791700/12

Therefore the LCM of Fractions 9900/12,7660/924 is 315975

Greatest Common Factor of 12,924 By Matching Biggest Common Factor Method

Greatest Common Factor of 12,924 By Matching Biggest Common Factor Method

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 924

List of positive integer factors of 924 that divides 924 without a remainder.

1,2,3,4,6,7,11,12,14,21,22,28,33,42,44,66,77,84,132,154,231,308,462,924

Greatest Common Factor

We found the factors 12,924 . The biggest common factor number is the GCF number.
So the greatest common factor 12,924 is 12.


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 9900/12, 7660/924

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 9900/12, 7660/924?

Answer: LCM of Numerators as per given numbers 9900/12, 7660/924 is

LCM of Numerators i.e. for 9900,7660 is 3791700

GCF of denominators i.e. for 12,924 is 12.

Thus, LCM of Fractions is 315975.Finally, LCM of Fractions for 9900/12, 7660/924 is 315975.