Least Common Multiple of 992/483, 1650/962

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 992/483, 1650/962 quickly i.e. 818400 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 992/483, 1650/962 is 818400.

LCM(992/483, 1650/962) = 818400

LCM of 992/483, 1650/962

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 992/483,1650/962

Given numbers are 992/483,1650/962

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 992,1650

Least Common Multiple of Numerators i.e. LCM of 992,1650 is 818400.

GCF of Denominators means GCF of 483,962 as per the given fractions.

GCF of 483,962 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 992,1650

LCM of Fractions 992/483,1650/962 is 818400

2 992, 1650
496, 825

∴ So the LCM of the given numbers is 2 x 496 x 825 = 818400

Least Common Multiple of 992,1650 with GCF Formula

Least Common Multiple of 992,1650 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 992,1650 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(992,1650) = 2

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

GCF(992,1650) x common factors =2 x 1 = 2

LCM(992,1650) = ( 992 × 1650 ) / 2

LCM(992,1650) = 1636800 / 2

LCM(992,1650) = 818400


Lets's calculate GCF of 483,962

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 818400/1

Therefore the LCM of Fractions 992/483,1650/962 is 818400

Greatest Common Factor of 483,962 By Matching Biggest Common Factor Method

Greatest Common Factor of 483,962 By Matching Biggest Common Factor Method

Factors of 483

List of positive integer factors of 483 that divides 483 without a remainder.

1,3,7,21,23,69,161,483

Factors of 962

List of positive integer factors of 962 that divides 962 without a remainder.

1,2,13,26,37,74,481,962

Greatest Common Factor

We found the factors 483,962 . The biggest common factor number is the GCF number.
So the greatest common factor 483,962 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 992/483, 1650/962

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 992/483, 1650/962?

Answer: LCM of Numerators as per given numbers 992/483, 1650/962 is

LCM of Numerators i.e. for 992,1650 is 818400

GCF of denominators i.e. for 483,962 is 1.

Thus, LCM of Fractions is 818400.Finally, LCM of Fractions for 992/483, 1650/962 is 818400.