Least Common Multiple of 71/516, 28/166, 904/460

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 71/516, 28/166, 904/460 quickly i.e. 224644 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 71/516, 28/166, 904/460 is 224644.

LCM(71/516, 28/166, 904/460) = 224644

LCM of 71/516, 28/166, 904/460

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 71/516,28/166,904/460

Given numbers are 71/516,28/166,904/460

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 71,28,904

Least Common Multiple of Numerators i.e. LCM of 71,28,904 is 449288.

GCF of Denominators means GCF of 516,166,460 as per the given fractions.

GCF of 516,166,460 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 71,28,904

LCM of Fractions 71/516,28/166,904/460 is 224644

2 71, 28, 904
2 71, 14, 452
71, 7, 226

∴ So the LCM of the given numbers is 2 x 2 x 71 x 7 x 226 = 449288

Least Common Multiple of 71,28,904 with GCF Formula

Least Common Multiple of 71,28,904 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 71,28,904 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,28,904) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(71,28,904) x common factors =1 x 4 = 4

LCM(71,28,904) = ( 71 × 28 × 904 ) / 4

LCM(71,28,904) = 1797152 / 4

LCM(71,28,904) = 449288


Lets's calculate GCF of 516,166,460

2 516, 166, 460
258, 83, 230

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 449288/2

Therefore the LCM of Fractions 71/516,28/166,904/460 is 224644

Greatest Common Factor of 516,166,460 By Matching Biggest Common Factor Method

Greatest Common Factor of 516,166,460 By Matching Biggest Common Factor Method

Factors of 516

List of positive integer factors of 516 that divides 516 without a remainder.

1,2,3,4,6,12,43,86,129,172,258,516

Factors of 166

List of positive integer factors of 166 that divides 166 without a remainder.

1,2,83,166

Factors of 460

List of positive integer factors of 460 that divides 460 without a remainder.

1,2,4,5,10,20,23,46,92,115,230,460

Greatest Common Factor

We found the factors 516,166,460 . The biggest common factor number is the GCF number.
So the greatest common factor 516,166,460 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 71/516, 28/166, 904/460

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 71/516, 28/166, 904/460?

Answer: LCM of Numerators as per given numbers 71/516, 28/166, 904/460 is

LCM of Numerators i.e. for 71,28,904 is 449288

GCF of denominators i.e. for 516,166,460 is 2.

Thus, LCM of Fractions is 224644.Finally, LCM of Fractions for 71/516, 28/166, 904/460 is 224644.