Least Common Multiple of 68/414, 48/929, 684/578

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 68/414, 48/929, 684/578 quickly i.e. 46512 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 68/414, 48/929, 684/578 is 46512.

LCM(68/414, 48/929, 684/578) = 46512

LCM of 68/414, 48/929, 684/578

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 68/414,48/929,684/578

Given numbers are 68/414,48/929,684/578

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 68,48,684

Least Common Multiple of Numerators i.e. LCM of 68,48,684 is 46512.

GCF of Denominators means GCF of 414,929,578 as per the given fractions.

GCF of 414,929,578 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 68,48,684

LCM of Fractions 68/414,48/929,684/578 is 46512

2 68, 48, 684
2 34, 24, 342
3 17, 12, 171
17, 4, 57

∴ So the LCM of the given numbers is 2 x 2 x 3 x 17 x 4 x 57 = 46512

Least Common Multiple of 68,48,684 with GCF Formula

Least Common Multiple of 68,48,684 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 68,48,684 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,48,684) = 4

common factors(in case of two or more numbers have common factors) = 12

GCF(68,48,684) x common factors =4 x 12 = 48

LCM(68,48,684) = ( 68 × 48 × 684 ) / 48

LCM(68,48,684) = 2232576 / 48

LCM(68,48,684) = 46512


Lets's calculate GCF of 414,929,578

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 46512/1

Therefore the LCM of Fractions 68/414,48/929,684/578 is 46512

Greatest Common Factor of 414,929,578 By Matching Biggest Common Factor Method

Greatest Common Factor of 414,929,578 By Matching Biggest Common Factor Method

Factors of 414

List of positive integer factors of 414 that divides 414 without a remainder.

1,2,3,6,9,18,23,46,69,138,207,414

Factors of 929

List of positive integer factors of 929 that divides 929 without a remainder.

1,929

Factors of 578

List of positive integer factors of 578 that divides 578 without a remainder.

1,2,17,34,289,578

Greatest Common Factor

We found the factors 414,929,578 . The biggest common factor number is the GCF number.
So the greatest common factor 414,929,578 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 68/414, 48/929, 684/578

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 68/414, 48/929, 684/578?

Answer: LCM of Numerators as per given numbers 68/414, 48/929, 684/578 is

LCM of Numerators i.e. for 68,48,684 is 46512

GCF of denominators i.e. for 414,929,578 is 1.

Thus, LCM of Fractions is 46512.Finally, LCM of Fractions for 68/414, 48/929, 684/578 is 46512.