Least Common Multiple of 858/968, 165/513, 495/396

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 858/968, 165/513, 495/396 quickly i.e. 12870 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 858/968, 165/513, 495/396 is 12870.

LCM(858/968, 165/513, 495/396) = 12870

LCM of 858/968, 165/513, 495/396

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 858/968,165/513,495/396

Given numbers are 858/968,165/513,495/396

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 858,165,495

Least Common Multiple of Numerators i.e. LCM of 858,165,495 is 12870.

GCF of Denominators means GCF of 968,513,396 as per the given fractions.

GCF of 968,513,396 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 858,165,495

LCM of Fractions 858/968,165/513,495/396 is 12870

3 858, 165, 495
5 286, 55, 165
11 286, 11, 33
26, 1, 3

∴ So the LCM of the given numbers is 3 x 5 x 11 x 26 x 1 x 3 = 12870

Least Common Multiple of 858,165,495 with GCF Formula

Least Common Multiple of 858,165,495 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 858,165,495 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(858,165,495) = 33

common factors(in case of two or more numbers have common factors) = 165

GCF(858,165,495) x common factors =33 x 165 = 5445

LCM(858,165,495) = ( 858 × 165 × 495 ) / 5445

LCM(858,165,495) = 70077150 / 5445

LCM(858,165,495) = 12870


Lets's calculate GCF of 968,513,396

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12870/1

Therefore the LCM of Fractions 858/968,165/513,495/396 is 12870

Greatest Common Factor of 968,513,396 By Matching Biggest Common Factor Method

Greatest Common Factor of 968,513,396 By Matching Biggest Common Factor Method

Factors of 968

List of positive integer factors of 968 that divides 968 without a remainder.

1,2,4,8,11,22,44,88,121,242,484,968

Factors of 513

List of positive integer factors of 513 that divides 513 without a remainder.

1,3,9,19,27,57,171,513

Factors of 396

List of positive integer factors of 396 that divides 396 without a remainder.

1,2,3,4,6,9,11,12,18,22,33,36,44,66,99,132,198,396

Greatest Common Factor

We found the factors 968,513,396 . The biggest common factor number is the GCF number.
So the greatest common factor 968,513,396 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 858/968, 165/513, 495/396

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 858/968, 165/513, 495/396?

Answer: LCM of Numerators as per given numbers 858/968, 165/513, 495/396 is

LCM of Numerators i.e. for 858,165,495 is 12870

GCF of denominators i.e. for 968,513,396 is 1.

Thus, LCM of Fractions is 12870.Finally, LCM of Fractions for 858/968, 165/513, 495/396 is 12870.