Least Common Multiple of 799/22, 281/52, 672/446

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 799/22, 281/52, 672/446 quickly i.e. 75438384 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 799/22, 281/52, 672/446 is 75438384.

LCM(799/22, 281/52, 672/446) = 75438384

LCM of 799/22, 281/52, 672/446

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 799/22,281/52,672/446

Given numbers are 799/22,281/52,672/446

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 799,281,672

Least Common Multiple of Numerators i.e. LCM of 799,281,672 is 150876768.

GCF of Denominators means GCF of 22,52,446 as per the given fractions.

GCF of 22,52,446 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 799,281,672

LCM of Fractions 799/22,281/52,672/446 is 75438384

Given numbers has no common factors except 1. So, there LCM is their product i.e 150876768

Least Common Multiple of 799,281,672 with GCF Formula

Least Common Multiple of 799,281,672 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 799,281,672 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(799,281,672) = 1

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

GCF(799,281,672) x common factors =1 x 1 = 1

LCM(799,281,672) = ( 799 × 281 × 672 ) / 1

LCM(799,281,672) = 150876768 / 1

LCM(799,281,672) = 150876768


Lets's calculate GCF of 22,52,446

2 22, 52, 446
11, 26, 223

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 150876768/2

Therefore the LCM of Fractions 799/22,281/52,672/446 is 75438384

Greatest Common Factor of 22,52,446 By Matching Biggest Common Factor Method

Greatest Common Factor of 22,52,446 By Matching Biggest Common Factor Method

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 446

List of positive integer factors of 446 that divides 446 without a remainder.

1,2,223,446

Greatest Common Factor

We found the factors 22,52,446 . The biggest common factor number is the GCF number.
So the greatest common factor 22,52,446 is 2.


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Frequently Asked Questions on Fractional LCM of 799/22, 281/52, 672/446

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 799/22, 281/52, 672/446?

Answer: LCM of Numerators as per given numbers 799/22, 281/52, 672/446 is

LCM of Numerators i.e. for 799,281,672 is 150876768

GCF of denominators i.e. for 22,52,446 is 2.

Thus, LCM of Fractions is 75438384.Finally, LCM of Fractions for 799/22, 281/52, 672/446 is 75438384.