Least Common Multiple of 476/16, 476/12, 568/94

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 476/16, 476/12, 568/94 quickly i.e. 33796 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 476/16, 476/12, 568/94 is 33796.

LCM(476/16, 476/12, 568/94) = 33796

LCM of 476/16, 476/12, 568/94

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 476/16,476/12,568/94

Given numbers are 476/16,476/12,568/94

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 476,476,568

Least Common Multiple of Numerators i.e. LCM of 476,476,568 is 67592.

GCF of Denominators means GCF of 16,12,94 as per the given fractions.

GCF of 16,12,94 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 476,476,568

LCM of Fractions 476/16,476/12,568/94 is 33796

2 476, 476, 568
2 238, 238, 284
7 119, 119, 142
17 17, 17, 142
1, 1, 142

∴ So the LCM of the given numbers is 2 x 2 x 7 x 17 x 1 x 1 x 142 = 67592

Least Common Multiple of 476,476,568 with GCF Formula

Least Common Multiple of 476,476,568 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 476,476,568 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(476,476,568) = 4

common factors(in case of two or more numbers have common factors) = 476

GCF(476,476,568) x common factors =4 x 476 = 1904

LCM(476,476,568) = ( 476 × 476 × 568 ) / 1904

LCM(476,476,568) = 128695168 / 1904

LCM(476,476,568) = 67592


Lets's calculate GCF of 16,12,94

2 16, 12, 94
8, 6, 47

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 67592/2

Therefore the LCM of Fractions 476/16,476/12,568/94 is 33796

Greatest Common Factor of 16,12,94 By Matching Biggest Common Factor Method

Greatest Common Factor of 16,12,94 By Matching Biggest Common Factor Method

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 94

List of positive integer factors of 94 that divides 94 without a remainder.

1,2,47,94

Greatest Common Factor

We found the factors 16,12,94 . The biggest common factor number is the GCF number.
So the greatest common factor 16,12,94 is 2.


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Frequently Asked Questions on Fractional LCM of 476/16, 476/12, 568/94

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 476/16, 476/12, 568/94?

Answer: LCM of Numerators as per given numbers 476/16, 476/12, 568/94 is

LCM of Numerators i.e. for 476,476,568 is 67592

GCF of denominators i.e. for 16,12,94 is 2.

Thus, LCM of Fractions is 33796.Finally, LCM of Fractions for 476/16, 476/12, 568/94 is 33796.