Least Common Multiple of 896/510, 316/171, 251/594

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 896/510, 316/171, 251/594 quickly i.e. 17766784/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 896/510, 316/171, 251/594 is 17766784/3.

LCM(896/510, 316/171, 251/594) = 17766784/3

LCM of 896/510, 316/171, 251/594

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 896/510,316/171,251/594

Given numbers are 896/510,316/171,251/594

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 896,316,251

Least Common Multiple of Numerators i.e. LCM of 896,316,251 is 17766784.

GCF of Denominators means GCF of 510,171,594 as per the given fractions.

GCF of 510,171,594 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 896,316,251

LCM of Fractions 896/510,316/171,251/594 is 17766784/3

2 896, 316, 251
2 448, 158, 251
224, 79, 251

∴ So the LCM of the given numbers is 2 x 2 x 224 x 79 x 251 = 17766784

Least Common Multiple of 896,316,251 with GCF Formula

Least Common Multiple of 896,316,251 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 896,316,251 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(896,316,251) = 1

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

GCF(896,316,251) x common factors =1 x 4 = 4

LCM(896,316,251) = ( 896 × 316 × 251 ) / 4

LCM(896,316,251) = 71067136 / 4

LCM(896,316,251) = 17766784


Lets's calculate GCF of 510,171,594

3 510, 171, 594
170, 57, 198

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17766784/3

Therefore the LCM of Fractions 896/510,316/171,251/594 is 17766784/3

Greatest Common Factor of 510,171,594 By Matching Biggest Common Factor Method

Greatest Common Factor of 510,171,594 By Matching Biggest Common Factor Method

Factors of 510

List of positive integer factors of 510 that divides 510 without a remainder.

1,2,3,5,6,10,15,17,30,34,51,85,102,170,255,510

Factors of 171

List of positive integer factors of 171 that divides 171 without a remainder.

1,3,9,19,57,171

Factors of 594

List of positive integer factors of 594 that divides 594 without a remainder.

1,2,3,6,9,11,18,22,27,33,54,66,99,198,297,594

Greatest Common Factor

We found the factors 510,171,594 . The biggest common factor number is the GCF number.
So the greatest common factor 510,171,594 is 3.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 896/510, 316/171, 251/594

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 896/510, 316/171, 251/594?

Answer: LCM of Numerators as per given numbers 896/510, 316/171, 251/594 is

LCM of Numerators i.e. for 896,316,251 is 17766784

GCF of denominators i.e. for 510,171,594 is 3.

Thus, LCM of Fractions is 17766784/3.Finally, LCM of Fractions for 896/510, 316/171, 251/594 is 17766784/3.