Least Common Multiple of 678/81, 578/14, 570/298

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 678/81, 578/14, 570/298 quickly i.e. 18614490 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 678/81, 578/14, 570/298 is 18614490.

LCM(678/81, 578/14, 570/298) = 18614490

LCM of 678/81, 578/14, 570/298

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 678/81,578/14,570/298

Given numbers are 678/81,578/14,570/298

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 678,578,570

Least Common Multiple of Numerators i.e. LCM of 678,578,570 is 18614490.

GCF of Denominators means GCF of 81,14,298 as per the given fractions.

GCF of 81,14,298 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 678,578,570

LCM of Fractions 678/81,578/14,570/298 is 18614490

2 678, 578, 570
3 339, 289, 285
113, 289, 95

∴ So the LCM of the given numbers is 2 x 3 x 113 x 289 x 95 = 18614490

Least Common Multiple of 678,578,570 with GCF Formula

Least Common Multiple of 678,578,570 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 678,578,570 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(678,578,570) = 2

common factors(in case of two or more numbers have common factors) = 6

GCF(678,578,570) x common factors =2 x 6 = 12

LCM(678,578,570) = ( 678 × 578 × 570 ) / 12

LCM(678,578,570) = 223373880 / 12

LCM(678,578,570) = 18614490


Lets's calculate GCF of 81,14,298

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18614490/1

Therefore the LCM of Fractions 678/81,578/14,570/298 is 18614490

Greatest Common Factor of 81,14,298 By Matching Biggest Common Factor Method

Greatest Common Factor of 81,14,298 By Matching Biggest Common Factor Method

Factors of 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 298

List of positive integer factors of 298 that divides 298 without a remainder.

1,2,149,298

Greatest Common Factor

We found the factors 81,14,298 . The biggest common factor number is the GCF number.
So the greatest common factor 81,14,298 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 678/81, 578/14, 570/298

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 678/81, 578/14, 570/298?

Answer: LCM of Numerators as per given numbers 678/81, 578/14, 570/298 is

LCM of Numerators i.e. for 678,578,570 is 18614490

GCF of denominators i.e. for 81,14,298 is 1.

Thus, LCM of Fractions is 18614490.Finally, LCM of Fractions for 678/81, 578/14, 570/298 is 18614490.