Least Common Multiple of 810/23, 985/30, 678/46

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 810/23, 985/30, 678/46 quickly i.e. 18031410 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 810/23, 985/30, 678/46 is 18031410.

LCM(810/23, 985/30, 678/46) = 18031410

LCM of 810/23, 985/30, 678/46

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 810/23,985/30,678/46

Given numbers are 810/23,985/30,678/46

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 810,985,678

Least Common Multiple of Numerators i.e. LCM of 810,985,678 is 18031410.

GCF of Denominators means GCF of 23,30,46 as per the given fractions.

GCF of 23,30,46 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 810,985,678

LCM of Fractions 810/23,985/30,678/46 is 18031410

2 810, 985, 678
3 405, 985, 339
5 135, 985, 113
27, 197, 113

∴ So the LCM of the given numbers is 2 x 3 x 5 x 27 x 197 x 113 = 18031410

Least Common Multiple of 810,985,678 with GCF Formula

Least Common Multiple of 810,985,678 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 810,985,678 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(810,985,678) = 1

common factors(in case of two or more numbers have common factors) = 30

GCF(810,985,678) x common factors =1 x 30 = 30

LCM(810,985,678) = ( 810 × 985 × 678 ) / 30

LCM(810,985,678) = 540942300 / 30

LCM(810,985,678) = 18031410


Lets's calculate GCF of 23,30,46

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18031410/1

Therefore the LCM of Fractions 810/23,985/30,678/46 is 18031410

Greatest Common Factor of 23,30,46 By Matching Biggest Common Factor Method

Greatest Common Factor of 23,30,46 By Matching Biggest Common Factor Method

Factors of 23

List of positive integer factors of 23 that divides 23 without a remainder.

1,23

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Greatest Common Factor

We found the factors 23,30,46 . The biggest common factor number is the GCF number.
So the greatest common factor 23,30,46 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 810/23, 985/30, 678/46

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 810/23, 985/30, 678/46?

Answer: LCM of Numerators as per given numbers 810/23, 985/30, 678/46 is

LCM of Numerators i.e. for 810,985,678 is 18031410

GCF of denominators i.e. for 23,30,46 is 1.

Thus, LCM of Fractions is 18031410.Finally, LCM of Fractions for 810/23, 985/30, 678/46 is 18031410.