Least Common Multiple of 924/99, 168/47, 973/199

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 924/99, 168/47, 973/199 quickly i.e. 256872 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 924/99, 168/47, 973/199 is 256872.

LCM(924/99, 168/47, 973/199) = 256872

LCM of 924/99, 168/47, 973/199

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 924/99,168/47,973/199

Given numbers are 924/99,168/47,973/199

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 924,168,973

Least Common Multiple of Numerators i.e. LCM of 924,168,973 is 256872.

GCF of Denominators means GCF of 99,47,199 as per the given fractions.

GCF of 99,47,199 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 924,168,973

LCM of Fractions 924/99,168/47,973/199 is 256872

2 924, 168, 973
2 462, 84, 973
3 231, 42, 973
7 77, 14, 973
11, 2, 139

∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 11 x 2 x 139 = 256872

Least Common Multiple of 924,168,973 with GCF Formula

Least Common Multiple of 924,168,973 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 924,168,973 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(924,168,973) = 7

common factors(in case of two or more numbers have common factors) = 84

GCF(924,168,973) x common factors =7 x 84 = 588

LCM(924,168,973) = ( 924 × 168 × 973 ) / 588

LCM(924,168,973) = 151040736 / 588

LCM(924,168,973) = 256872


Lets's calculate GCF of 99,47,199

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 256872/1

Therefore the LCM of Fractions 924/99,168/47,973/199 is 256872

Greatest Common Factor of 99,47,199 By Matching Biggest Common Factor Method

Greatest Common Factor of 99,47,199 By Matching Biggest Common Factor Method

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Factors of 47

List of positive integer factors of 47 that divides 47 without a remainder.

1,47

Factors of 199

List of positive integer factors of 199 that divides 199 without a remainder.

1,199

Greatest Common Factor

We found the factors 99,47,199 . The biggest common factor number is the GCF number.
So the greatest common factor 99,47,199 is 1.


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Frequently Asked Questions on Fractional LCM of 924/99, 168/47, 973/199

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 924/99, 168/47, 973/199?

Answer: LCM of Numerators as per given numbers 924/99, 168/47, 973/199 is

LCM of Numerators i.e. for 924,168,973 is 256872

GCF of denominators i.e. for 99,47,199 is 1.

Thus, LCM of Fractions is 256872.Finally, LCM of Fractions for 924/99, 168/47, 973/199 is 256872.