Least Common Multiple of 14/68, 573/10, 578/732

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 14/68, 573/10, 578/732 quickly i.e. 1159179 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 14/68, 573/10, 578/732 is 1159179.

LCM(14/68, 573/10, 578/732) = 1159179

LCM of 14/68, 573/10, 578/732

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 14/68,573/10,578/732

Given numbers are 14/68,573/10,578/732

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 14,573,578

Least Common Multiple of Numerators i.e. LCM of 14,573,578 is 2318358.

GCF of Denominators means GCF of 68,10,732 as per the given fractions.

GCF of 68,10,732 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 14,573,578

LCM of Fractions 14/68,573/10,578/732 is 1159179

2 14, 573, 578
7, 573, 289

∴ So the LCM of the given numbers is 2 x 7 x 573 x 289 = 2318358

Least Common Multiple of 14,573,578 with GCF Formula

Least Common Multiple of 14,573,578 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 14,573,578 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,573,578) = 1

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

GCF(14,573,578) x common factors =1 x 2 = 2

LCM(14,573,578) = ( 14 × 573 × 578 ) / 2

LCM(14,573,578) = 4636716 / 2

LCM(14,573,578) = 2318358


Lets's calculate GCF of 68,10,732

2 68, 10, 732
34, 5, 366

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2318358/2

Therefore the LCM of Fractions 14/68,573/10,578/732 is 1159179

Greatest Common Factor of 68,10,732 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,10,732 By Matching Biggest Common Factor Method

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 732

List of positive integer factors of 732 that divides 732 without a remainder.

1,2,3,4,6,12,61,122,183,244,366,732

Greatest Common Factor

We found the factors 68,10,732 . The biggest common factor number is the GCF number.
So the greatest common factor 68,10,732 is 2.


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 14/68, 573/10, 578/732

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 14/68, 573/10, 578/732?

Answer: LCM of Numerators as per given numbers 14/68, 573/10, 578/732 is

LCM of Numerators i.e. for 14,573,578 is 2318358

GCF of denominators i.e. for 68,10,732 is 2.

Thus, LCM of Fractions is 1159179.Finally, LCM of Fractions for 14/68, 573/10, 578/732 is 1159179.