Least Common Multiple of 46/708, 889/36, 878/183

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 46/708, 889/36, 878/183 quickly i.e. 17952466/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 46/708, 889/36, 878/183 is 17952466/3.

LCM(46/708, 889/36, 878/183) = 17952466/3

LCM of 46/708, 889/36, 878/183

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 46/708,889/36,878/183

Given numbers are 46/708,889/36,878/183

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 46,889,878

Least Common Multiple of Numerators i.e. LCM of 46,889,878 is 17952466.

GCF of Denominators means GCF of 708,36,183 as per the given fractions.

GCF of 708,36,183 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 46,889,878

LCM of Fractions 46/708,889/36,878/183 is 17952466/3

2 46, 889, 878
23, 889, 439

∴ So the LCM of the given numbers is 2 x 23 x 889 x 439 = 17952466

Least Common Multiple of 46,889,878 with GCF Formula

Least Common Multiple of 46,889,878 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 46,889,878 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,889,878) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(46,889,878) x common factors =1 x 2 = 2

LCM(46,889,878) = ( 46 × 889 × 878 ) / 2

LCM(46,889,878) = 35904932 / 2

LCM(46,889,878) = 17952466


Lets's calculate GCF of 708,36,183

3 708, 36, 183
236, 12, 61

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17952466/3

Therefore the LCM of Fractions 46/708,889/36,878/183 is 17952466/3

Greatest Common Factor of 708,36,183 By Matching Biggest Common Factor Method

Greatest Common Factor of 708,36,183 By Matching Biggest Common Factor Method

Factors of 708

List of positive integer factors of 708 that divides 708 without a remainder.

1,2,3,4,6,12,59,118,177,236,354,708

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 183

List of positive integer factors of 183 that divides 183 without a remainder.

1,3,61,183

Greatest Common Factor

We found the factors 708,36,183 . The biggest common factor number is the GCF number.
So the greatest common factor 708,36,183 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 46/708, 889/36, 878/183

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 46/708, 889/36, 878/183?

Answer: LCM of Numerators as per given numbers 46/708, 889/36, 878/183 is

LCM of Numerators i.e. for 46,889,878 is 17952466

GCF of denominators i.e. for 708,36,183 is 3.

Thus, LCM of Fractions is 17952466/3.Finally, LCM of Fractions for 46/708, 889/36, 878/183 is 17952466/3.