Least Common Multiple of 84/867, 90/474, 207/805

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 84/867, 90/474, 207/805 quickly i.e. 28980 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 84/867, 90/474, 207/805 is 28980.

LCM(84/867, 90/474, 207/805) = 28980

LCM of 84/867, 90/474, 207/805

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 84/867,90/474,207/805

Given numbers are 84/867,90/474,207/805

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 84,90,207

Least Common Multiple of Numerators i.e. LCM of 84,90,207 is 28980.

GCF of Denominators means GCF of 867,474,805 as per the given fractions.

GCF of 867,474,805 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 84,90,207

LCM of Fractions 84/867,90/474,207/805 is 28980

2 84, 90, 207
3 42, 45, 207
3 14, 15, 69
14, 5, 23

∴ So the LCM of the given numbers is 2 x 3 x 3 x 14 x 5 x 23 = 28980

Least Common Multiple of 84,90,207 with GCF Formula

Least Common Multiple of 84,90,207 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 84,90,207 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,90,207) = 3

common factors(in case of two or more numbers have common factors) = 18

GCF(84,90,207) x common factors =3 x 18 = 54

LCM(84,90,207) = ( 84 × 90 × 207 ) / 54

LCM(84,90,207) = 1564920 / 54

LCM(84,90,207) = 28980


Lets's calculate GCF of 867,474,805

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28980/1

Therefore the LCM of Fractions 84/867,90/474,207/805 is 28980

Greatest Common Factor of 867,474,805 By Matching Biggest Common Factor Method

Greatest Common Factor of 867,474,805 By Matching Biggest Common Factor Method

Factors of 867

List of positive integer factors of 867 that divides 867 without a remainder.

1,3,17,51,289,867

Factors of 474

List of positive integer factors of 474 that divides 474 without a remainder.

1,2,3,6,79,158,237,474

Factors of 805

List of positive integer factors of 805 that divides 805 without a remainder.

1,5,7,23,35,115,161,805

Greatest Common Factor

We found the factors 867,474,805 . The biggest common factor number is the GCF number.
So the greatest common factor 867,474,805 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 84/867, 90/474, 207/805

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 84/867, 90/474, 207/805?

Answer: LCM of Numerators as per given numbers 84/867, 90/474, 207/805 is

LCM of Numerators i.e. for 84,90,207 is 28980

GCF of denominators i.e. for 867,474,805 is 1.

Thus, LCM of Fractions is 28980.Finally, LCM of Fractions for 84/867, 90/474, 207/805 is 28980.