Least Common Multiple of 45/902, 9994/7992

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 45/902, 9994/7992 quickly i.e. 224865 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 45/902, 9994/7992 is 224865.

LCM(45/902, 9994/7992) = 224865

LCM of 45/902, 9994/7992

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 45/902,9994/7992

Given numbers are 45/902,9994/7992

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 45,9994

Least Common Multiple of Numerators i.e. LCM of 45,9994 is 449730.

GCF of Denominators means GCF of 902,7992 as per the given fractions.

GCF of 902,7992 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 45,9994

LCM of Fractions 45/902,9994/7992 is 224865

Given numbers has no common factors except 1. So, there LCM is their product i.e 449730

Least Common Multiple of 45,9994 with GCF Formula

Least Common Multiple of 45,9994 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 45,9994 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,9994) = 1

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

GCF(45,9994) x common factors =1 x 1 = 1

LCM(45,9994) = ( 45 × 9994 ) / 1

LCM(45,9994) = 449730 / 1

LCM(45,9994) = 449730


Lets's calculate GCF of 902,7992

2 902, 7992
451, 3996

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 449730/2

Therefore the LCM of Fractions 45/902,9994/7992 is 224865

Greatest Common Factor of 902,7992 By Matching Biggest Common Factor Method

Greatest Common Factor of 902,7992 By Matching Biggest Common Factor Method

Factors of 902

List of positive integer factors of 902 that divides 902 without a remainder.

1,2,11,22,41,82,451,902

Factors of 7992

List of positive integer factors of 7992 that divides 7992 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,37,54,72,74,108,111,148,216,222,296,333,444,666,888,999,1332,1998,2664,3996,7992

Greatest Common Factor

We found the factors 902,7992 . The biggest common factor number is the GCF number.
So the greatest common factor 902,7992 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 45/902, 9994/7992

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 45/902, 9994/7992?

Answer: LCM of Numerators as per given numbers 45/902, 9994/7992 is

LCM of Numerators i.e. for 45,9994 is 449730

GCF of denominators i.e. for 902,7992 is 2.

Thus, LCM of Fractions is 224865.Finally, LCM of Fractions for 45/902, 9994/7992 is 224865.