Least Common Multiple of 868/34, 836/14, 629/160

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 868/34, 836/14, 629/160 quickly i.e. 57054074 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 868/34, 836/14, 629/160 is 57054074.

LCM(868/34, 836/14, 629/160) = 57054074

LCM of 868/34, 836/14, 629/160

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 868/34,836/14,629/160

Given numbers are 868/34,836/14,629/160

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 868,836,629

Least Common Multiple of Numerators i.e. LCM of 868,836,629 is 114108148.

GCF of Denominators means GCF of 34,14,160 as per the given fractions.

GCF of 34,14,160 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 868,836,629

LCM of Fractions 868/34,836/14,629/160 is 57054074

2 868, 836, 629
2 434, 418, 629
217, 209, 629

∴ So the LCM of the given numbers is 2 x 2 x 217 x 209 x 629 = 114108148

Least Common Multiple of 868,836,629 with GCF Formula

Least Common Multiple of 868,836,629 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 868,836,629 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(868,836,629) = 1

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

GCF(868,836,629) x common factors =1 x 4 = 4

LCM(868,836,629) = ( 868 × 836 × 629 ) / 4

LCM(868,836,629) = 456432592 / 4

LCM(868,836,629) = 114108148


Lets's calculate GCF of 34,14,160

2 34, 14, 160
17, 7, 80

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 114108148/2

Therefore the LCM of Fractions 868/34,836/14,629/160 is 57054074

Greatest Common Factor of 34,14,160 By Matching Biggest Common Factor Method

Greatest Common Factor of 34,14,160 By Matching Biggest Common Factor Method

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 160

List of positive integer factors of 160 that divides 160 without a remainder.

1,2,4,5,8,10,16,20,32,40,80,160

Greatest Common Factor

We found the factors 34,14,160 . The biggest common factor number is the GCF number.
So the greatest common factor 34,14,160 is 2.


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 868/34, 836/14, 629/160

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 868/34, 836/14, 629/160?

Answer: LCM of Numerators as per given numbers 868/34, 836/14, 629/160 is

LCM of Numerators i.e. for 868,836,629 is 114108148

GCF of denominators i.e. for 34,14,160 is 2.

Thus, LCM of Fractions is 57054074.Finally, LCM of Fractions for 868/34, 836/14, 629/160 is 57054074.