Least Common Multiple of 84/858, 29/229, 512/934

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 84/858, 29/229, 512/934 quickly i.e. 311808 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 84/858, 29/229, 512/934 is 311808.

LCM(84/858, 29/229, 512/934) = 311808

LCM of 84/858, 29/229, 512/934

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 84/858,29/229,512/934

Given numbers are 84/858,29/229,512/934

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 84,29,512

Least Common Multiple of Numerators i.e. LCM of 84,29,512 is 311808.

GCF of Denominators means GCF of 858,229,934 as per the given fractions.

GCF of 858,229,934 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 84,29,512

LCM of Fractions 84/858,29/229,512/934 is 311808

2 84, 29, 512
2 42, 29, 256
21, 29, 128

∴ So the LCM of the given numbers is 2 x 2 x 21 x 29 x 128 = 311808

Least Common Multiple of 84,29,512 with GCF Formula

Least Common Multiple of 84,29,512 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 84,29,512 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,29,512) = 1

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

GCF(84,29,512) x common factors =1 x 4 = 4

LCM(84,29,512) = ( 84 × 29 × 512 ) / 4

LCM(84,29,512) = 1247232 / 4

LCM(84,29,512) = 311808


Lets's calculate GCF of 858,229,934

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 311808/1

Therefore the LCM of Fractions 84/858,29/229,512/934 is 311808

Greatest Common Factor of 858,229,934 By Matching Biggest Common Factor Method

Greatest Common Factor of 858,229,934 By Matching Biggest Common Factor Method

Factors of 858

List of positive integer factors of 858 that divides 858 without a remainder.

1,2,3,6,11,13,22,26,33,39,66,78,143,286,429,858

Factors of 229

List of positive integer factors of 229 that divides 229 without a remainder.

1,229

Factors of 934

List of positive integer factors of 934 that divides 934 without a remainder.

1,2,467,934

Greatest Common Factor

We found the factors 858,229,934 . The biggest common factor number is the GCF number.
So the greatest common factor 858,229,934 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 84/858, 29/229, 512/934

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 84/858, 29/229, 512/934?

Answer: LCM of Numerators as per given numbers 84/858, 29/229, 512/934 is

LCM of Numerators i.e. for 84,29,512 is 311808

GCF of denominators i.e. for 858,229,934 is 1.

Thus, LCM of Fractions is 311808.Finally, LCM of Fractions for 84/858, 29/229, 512/934 is 311808.