Least Common Multiple of 106/29, 864/46, 124/718

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 106/29, 864/46, 124/718 quickly i.e. 1419552 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 106/29, 864/46, 124/718 is 1419552.

LCM(106/29, 864/46, 124/718) = 1419552

LCM of 106/29, 864/46, 124/718

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 106/29,864/46,124/718

Given numbers are 106/29,864/46,124/718

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 106,864,124

Least Common Multiple of Numerators i.e. LCM of 106,864,124 is 1419552.

GCF of Denominators means GCF of 29,46,718 as per the given fractions.

GCF of 29,46,718 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 106,864,124

LCM of Fractions 106/29,864/46,124/718 is 1419552

2 106, 864, 124
2 53, 432, 62
53, 216, 31

∴ So the LCM of the given numbers is 2 x 2 x 53 x 216 x 31 = 1419552

Least Common Multiple of 106,864,124 with GCF Formula

Least Common Multiple of 106,864,124 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 106,864,124 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(106,864,124) = 2

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

GCF(106,864,124) x common factors =2 x 4 = 8

LCM(106,864,124) = ( 106 × 864 × 124 ) / 8

LCM(106,864,124) = 11356416 / 8

LCM(106,864,124) = 1419552


Lets's calculate GCF of 29,46,718

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1419552/1

Therefore the LCM of Fractions 106/29,864/46,124/718 is 1419552

Greatest Common Factor of 29,46,718 By Matching Biggest Common Factor Method

Greatest Common Factor of 29,46,718 By Matching Biggest Common Factor Method

Factors of 29

List of positive integer factors of 29 that divides 29 without a remainder.

1,29

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 718

List of positive integer factors of 718 that divides 718 without a remainder.

1,2,359,718

Greatest Common Factor

We found the factors 29,46,718 . The biggest common factor number is the GCF number.
So the greatest common factor 29,46,718 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 106/29, 864/46, 124/718

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 106/29, 864/46, 124/718?

Answer: LCM of Numerators as per given numbers 106/29, 864/46, 124/718 is

LCM of Numerators i.e. for 106,864,124 is 1419552

GCF of denominators i.e. for 29,46,718 is 1.

Thus, LCM of Fractions is 1419552.Finally, LCM of Fractions for 106/29, 864/46, 124/718 is 1419552.