Least Common Multiple of 810/10, 320/31, 858/166

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 810/10, 320/31, 858/166 quickly i.e. 3706560 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 810/10, 320/31, 858/166 is 3706560.

LCM(810/10, 320/31, 858/166) = 3706560

LCM of 810/10, 320/31, 858/166

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 810/10,320/31,858/166

Given numbers are 810/10,320/31,858/166

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 810,320,858

Least Common Multiple of Numerators i.e. LCM of 810,320,858 is 3706560.

GCF of Denominators means GCF of 10,31,166 as per the given fractions.

GCF of 10,31,166 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 810,320,858

LCM of Fractions 810/10,320/31,858/166 is 3706560

2 810, 320, 858
3 405, 160, 429
5 135, 160, 143
27, 32, 143

∴ So the LCM of the given numbers is 2 x 3 x 5 x 27 x 32 x 143 = 3706560

Least Common Multiple of 810,320,858 with GCF Formula

Least Common Multiple of 810,320,858 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 810,320,858 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(810,320,858) = 2

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

GCF(810,320,858) x common factors =2 x 30 = 60

LCM(810,320,858) = ( 810 × 320 × 858 ) / 60

LCM(810,320,858) = 222393600 / 60

LCM(810,320,858) = 3706560


Lets's calculate GCF of 10,31,166

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3706560/1

Therefore the LCM of Fractions 810/10,320/31,858/166 is 3706560

Greatest Common Factor of 10,31,166 By Matching Biggest Common Factor Method

Greatest Common Factor of 10,31,166 By Matching Biggest Common Factor Method

Factors of 10

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

1,2,5,10

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 166

List of positive integer factors of 166 that divides 166 without a remainder.

1,2,83,166

Greatest Common Factor

We found the factors 10,31,166 . The biggest common factor number is the GCF number.
So the greatest common factor 10,31,166 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 810/10, 320/31, 858/166

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 810/10, 320/31, 858/166?

Answer: LCM of Numerators as per given numbers 810/10, 320/31, 858/166 is

LCM of Numerators i.e. for 810,320,858 is 3706560

GCF of denominators i.e. for 10,31,166 is 1.

Thus, LCM of Fractions is 3706560.Finally, LCM of Fractions for 810/10, 320/31, 858/166 is 3706560.