Least Common Multiple of 996/504, 7952/9230

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 996/504, 7952/9230 quickly i.e. 990024 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 996/504, 7952/9230 is 990024.

LCM(996/504, 7952/9230) = 990024

LCM of 996/504, 7952/9230

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 996/504,7952/9230

Given numbers are 996/504,7952/9230

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 996,7952

Least Common Multiple of Numerators i.e. LCM of 996,7952 is 1980048.

GCF of Denominators means GCF of 504,9230 as per the given fractions.

GCF of 504,9230 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 996,7952

LCM of Fractions 996/504,7952/9230 is 990024

2 996, 7952
2 498, 3976
249, 1988

∴ So the LCM of the given numbers is 2 x 2 x 249 x 1988 = 1980048

Least Common Multiple of 996,7952 with GCF Formula

Least Common Multiple of 996,7952 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 996,7952 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(996,7952) = 4

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

GCF(996,7952) x common factors =4 x 1 = 4

LCM(996,7952) = ( 996 × 7952 ) / 4

LCM(996,7952) = 7920192 / 4

LCM(996,7952) = 1980048


Lets's calculate GCF of 504,9230

2 504, 9230
252, 4615

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1980048/2

Therefore the LCM of Fractions 996/504,7952/9230 is 990024

Greatest Common Factor of 504,9230 By Matching Biggest Common Factor Method

Greatest Common Factor of 504,9230 By Matching Biggest Common Factor Method

Factors of 504

List of positive integer factors of 504 that divides 504 without a remainder.

1,2,3,4,6,7,8,9,12,14,18,21,24,28,36,42,56,63,72,84,126,168,252,504

Factors of 9230

List of positive integer factors of 9230 that divides 9230 without a remainder.

1,2,5,10,13,26,65,71,130,142,355,710,923,1846,4615,9230

Greatest Common Factor

We found the factors 504,9230 . The biggest common factor number is the GCF number.
So the greatest common factor 504,9230 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 996/504, 7952/9230

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 996/504, 7952/9230?

Answer: LCM of Numerators as per given numbers 996/504, 7952/9230 is

LCM of Numerators i.e. for 996,7952 is 1980048

GCF of denominators i.e. for 504,9230 is 2.

Thus, LCM of Fractions is 990024.Finally, LCM of Fractions for 996/504, 7952/9230 is 990024.