Least Common Multiple of 814/663, 858/610, 516/854

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 814/663, 858/610, 516/854 quickly i.e. 2730156 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 814/663, 858/610, 516/854 is 2730156.

LCM(814/663, 858/610, 516/854) = 2730156

LCM of 814/663, 858/610, 516/854

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 814/663,858/610,516/854

Given numbers are 814/663,858/610,516/854

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 814,858,516

Least Common Multiple of Numerators i.e. LCM of 814,858,516 is 2730156.

GCF of Denominators means GCF of 663,610,854 as per the given fractions.

GCF of 663,610,854 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 814,858,516

LCM of Fractions 814/663,858/610,516/854 is 2730156

2 814, 858, 516
3 407, 429, 258
11 407, 143, 86
37, 13, 86

∴ So the LCM of the given numbers is 2 x 3 x 11 x 37 x 13 x 86 = 2730156

Least Common Multiple of 814,858,516 with GCF Formula

Least Common Multiple of 814,858,516 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 814,858,516 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(814,858,516) = 2

common factors(in case of two or more numbers have common factors) = 66

GCF(814,858,516) x common factors =2 x 66 = 132

LCM(814,858,516) = ( 814 × 858 × 516 ) / 132

LCM(814,858,516) = 360380592 / 132

LCM(814,858,516) = 2730156


Lets's calculate GCF of 663,610,854

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2730156/1

Therefore the LCM of Fractions 814/663,858/610,516/854 is 2730156

Greatest Common Factor of 663,610,854 By Matching Biggest Common Factor Method

Greatest Common Factor of 663,610,854 By Matching Biggest Common Factor Method

Factors of 663

List of positive integer factors of 663 that divides 663 without a remainder.

1,3,13,17,39,51,221,663

Factors of 610

List of positive integer factors of 610 that divides 610 without a remainder.

1,2,5,10,61,122,305,610

Factors of 854

List of positive integer factors of 854 that divides 854 without a remainder.

1,2,7,14,61,122,427,854

Greatest Common Factor

We found the factors 663,610,854 . The biggest common factor number is the GCF number.
So the greatest common factor 663,610,854 is 1.


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 814/663, 858/610, 516/854

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 814/663, 858/610, 516/854?

Answer: LCM of Numerators as per given numbers 814/663, 858/610, 516/854 is

LCM of Numerators i.e. for 814,858,516 is 2730156

GCF of denominators i.e. for 663,610,854 is 1.

Thus, LCM of Fractions is 2730156.Finally, LCM of Fractions for 814/663, 858/610, 516/854 is 2730156.