Least Common Multiple of 68/854, 46/142, 288/933

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 68/854, 46/142, 288/933 quickly i.e. 112608 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 68/854, 46/142, 288/933 is 112608.

LCM(68/854, 46/142, 288/933) = 112608

LCM of 68/854, 46/142, 288/933

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 68/854,46/142,288/933

Given numbers are 68/854,46/142,288/933

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 68,46,288

Least Common Multiple of Numerators i.e. LCM of 68,46,288 is 112608.

GCF of Denominators means GCF of 854,142,933 as per the given fractions.

GCF of 854,142,933 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 68,46,288

LCM of Fractions 68/854,46/142,288/933 is 112608

2 68, 46, 288
2 34, 23, 144
17, 23, 72

∴ So the LCM of the given numbers is 2 x 2 x 17 x 23 x 72 = 112608

Least Common Multiple of 68,46,288 with GCF Formula

Least Common Multiple of 68,46,288 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 68,46,288 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,46,288) = 2

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

GCF(68,46,288) x common factors =2 x 4 = 8

LCM(68,46,288) = ( 68 × 46 × 288 ) / 8

LCM(68,46,288) = 900864 / 8

LCM(68,46,288) = 112608


Lets's calculate GCF of 854,142,933

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 112608/1

Therefore the LCM of Fractions 68/854,46/142,288/933 is 112608

Greatest Common Factor of 854,142,933 By Matching Biggest Common Factor Method

Greatest Common Factor of 854,142,933 By Matching Biggest Common Factor Method

Factors of 854

List of positive integer factors of 854 that divides 854 without a remainder.

1,2,7,14,61,122,427,854

Factors of 142

List of positive integer factors of 142 that divides 142 without a remainder.

1,2,71,142

Factors of 933

List of positive integer factors of 933 that divides 933 without a remainder.

1,3,311,933

Greatest Common Factor

We found the factors 854,142,933 . The biggest common factor number is the GCF number.
So the greatest common factor 854,142,933 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 68/854, 46/142, 288/933

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 68/854, 46/142, 288/933?

Answer: LCM of Numerators as per given numbers 68/854, 46/142, 288/933 is

LCM of Numerators i.e. for 68,46,288 is 112608

GCF of denominators i.e. for 854,142,933 is 1.

Thus, LCM of Fractions is 112608.Finally, LCM of Fractions for 68/854, 46/142, 288/933 is 112608.