Least Common Multiple of 992/922, 4535/974

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 992/922, 4535/974 quickly i.e. 2249360 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 992/922, 4535/974 is 2249360.

LCM(992/922, 4535/974) = 2249360

LCM of 992/922, 4535/974

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 992/922,4535/974

Given numbers are 992/922,4535/974

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 992,4535

Least Common Multiple of Numerators i.e. LCM of 992,4535 is 4498720.

GCF of Denominators means GCF of 922,974 as per the given fractions.

GCF of 922,974 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 992,4535

LCM of Fractions 992/922,4535/974 is 2249360

Given numbers has no common factors except 1. So, there LCM is their product i.e 4498720

Least Common Multiple of 992,4535 with GCF Formula

Least Common Multiple of 992,4535 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 992,4535 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(992,4535) = 1

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

GCF(992,4535) x common factors =1 x 1 = 1

LCM(992,4535) = ( 992 × 4535 ) / 1

LCM(992,4535) = 4498720 / 1

LCM(992,4535) = 4498720


Lets's calculate GCF of 922,974

2 922, 974
461, 487

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4498720/2

Therefore the LCM of Fractions 992/922,4535/974 is 2249360

Greatest Common Factor of 922,974 By Matching Biggest Common Factor Method

Greatest Common Factor of 922,974 By Matching Biggest Common Factor Method

Factors of 922

List of positive integer factors of 922 that divides 922 without a remainder.

1,2,461,922

Factors of 974

List of positive integer factors of 974 that divides 974 without a remainder.

1,2,487,974

Greatest Common Factor

We found the factors 922,974 . The biggest common factor number is the GCF number.
So the greatest common factor 922,974 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 992/922, 4535/974

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 992/922, 4535/974?

Answer: LCM of Numerators as per given numbers 992/922, 4535/974 is

LCM of Numerators i.e. for 992,4535 is 4498720

GCF of denominators i.e. for 922,974 is 2.

Thus, LCM of Fractions is 2249360.Finally, LCM of Fractions for 992/922, 4535/974 is 2249360.