Least Common Multiple of 99/532, 1482/1646

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 99/532, 1482/1646 quickly i.e. 24453 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 99/532, 1482/1646 is 24453.

LCM(99/532, 1482/1646) = 24453

LCM of 99/532, 1482/1646

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 99/532,1482/1646

Given numbers are 99/532,1482/1646

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 99,1482

Least Common Multiple of Numerators i.e. LCM of 99,1482 is 48906.

GCF of Denominators means GCF of 532,1646 as per the given fractions.

GCF of 532,1646 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 99,1482

LCM of Fractions 99/532,1482/1646 is 24453

3 99, 1482
33, 494

∴ So the LCM of the given numbers is 3 x 33 x 494 = 48906

Least Common Multiple of 99,1482 with GCF Formula

Least Common Multiple of 99,1482 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 99,1482 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(99,1482) = 3

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

GCF(99,1482) x common factors =3 x 1 = 3

LCM(99,1482) = ( 99 × 1482 ) / 3

LCM(99,1482) = 146718 / 3

LCM(99,1482) = 48906


Lets's calculate GCF of 532,1646

2 532, 1646
266, 823

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 48906/2

Therefore the LCM of Fractions 99/532,1482/1646 is 24453

Greatest Common Factor of 532,1646 By Matching Biggest Common Factor Method

Greatest Common Factor of 532,1646 By Matching Biggest Common Factor Method

Factors of 532

List of positive integer factors of 532 that divides 532 without a remainder.

1,2,4,7,14,19,28,38,76,133,266,532

Factors of 1646

List of positive integer factors of 1646 that divides 1646 without a remainder.

1,2,823,1646

Greatest Common Factor

We found the factors 532,1646 . The biggest common factor number is the GCF number.
So the greatest common factor 532,1646 is 2.


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Frequently Asked Questions on Fractional LCM of 99/532, 1482/1646

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 99/532, 1482/1646?

Answer: LCM of Numerators as per given numbers 99/532, 1482/1646 is

LCM of Numerators i.e. for 99,1482 is 48906

GCF of denominators i.e. for 532,1646 is 2.

Thus, LCM of Fractions is 24453.Finally, LCM of Fractions for 99/532, 1482/1646 is 24453.