Least Common Multiple of 450/67, 6866/585

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 450/67, 6866/585 quickly i.e. 1544850 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 450/67, 6866/585 is 1544850.

LCM(450/67, 6866/585) = 1544850

LCM of 450/67, 6866/585

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 450/67,6866/585

Given numbers are 450/67,6866/585

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 450,6866

Least Common Multiple of Numerators i.e. LCM of 450,6866 is 1544850.

GCF of Denominators means GCF of 67,585 as per the given fractions.

GCF of 67,585 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 450,6866

LCM of Fractions 450/67,6866/585 is 1544850

2 450, 6866
225, 3433

∴ So the LCM of the given numbers is 2 x 225 x 3433 = 1544850

Least Common Multiple of 450,6866 with GCF Formula

Least Common Multiple of 450,6866 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 450,6866 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(450,6866) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(450,6866) x common factors =2 x 1 = 2

LCM(450,6866) = ( 450 × 6866 ) / 2

LCM(450,6866) = 3089700 / 2

LCM(450,6866) = 1544850


Lets's calculate GCF of 67,585

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1544850/1

Therefore the LCM of Fractions 450/67,6866/585 is 1544850

Greatest Common Factor of 67,585 By Matching Biggest Common Factor Method

Greatest Common Factor of 67,585 By Matching Biggest Common Factor Method

Factors of 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

Factors of 585

List of positive integer factors of 585 that divides 585 without a remainder.

1,3,5,9,13,15,39,45,65,117,195,585

Greatest Common Factor

We found the factors 67,585 . The biggest common factor number is the GCF number.
So the greatest common factor 67,585 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 450/67, 6866/585

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 450/67, 6866/585?

Answer: LCM of Numerators as per given numbers 450/67, 6866/585 is

LCM of Numerators i.e. for 450,6866 is 1544850

GCF of denominators i.e. for 67,585 is 1.

Thus, LCM of Fractions is 1544850.Finally, LCM of Fractions for 450/67, 6866/585 is 1544850.