Least Common Multiple of 800/42, 318/45, 647/150

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 800/42, 318/45, 647/150 quickly i.e. 27432800 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 800/42, 318/45, 647/150 is 27432800.

LCM(800/42, 318/45, 647/150) = 27432800

LCM of 800/42, 318/45, 647/150

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 800/42,318/45,647/150

Given numbers are 800/42,318/45,647/150

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 800,318,647

Least Common Multiple of Numerators i.e. LCM of 800,318,647 is 82298400.

GCF of Denominators means GCF of 42,45,150 as per the given fractions.

GCF of 42,45,150 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 800,318,647

LCM of Fractions 800/42,318/45,647/150 is 27432800

2 800, 318, 647
400, 159, 647

∴ So the LCM of the given numbers is 2 x 400 x 159 x 647 = 82298400

Least Common Multiple of 800,318,647 with GCF Formula

Least Common Multiple of 800,318,647 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 800,318,647 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(800,318,647) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(800,318,647) x common factors =1 x 2 = 2

LCM(800,318,647) = ( 800 × 318 × 647 ) / 2

LCM(800,318,647) = 164596800 / 2

LCM(800,318,647) = 82298400


Lets's calculate GCF of 42,45,150

3 42, 45, 150
14, 15, 50

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 82298400/3

Therefore the LCM of Fractions 800/42,318/45,647/150 is 27432800

Greatest Common Factor of 42,45,150 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,45,150 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 150

List of positive integer factors of 150 that divides 150 without a remainder.

1,2,3,5,6,10,15,25,30,50,75,150

Greatest Common Factor

We found the factors 42,45,150 . The biggest common factor number is the GCF number.
So the greatest common factor 42,45,150 is 3.


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 800/42, 318/45, 647/150

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 800/42, 318/45, 647/150?

Answer: LCM of Numerators as per given numbers 800/42, 318/45, 647/150 is

LCM of Numerators i.e. for 800,318,647 is 82298400

GCF of denominators i.e. for 42,45,150 is 3.

Thus, LCM of Fractions is 27432800.Finally, LCM of Fractions for 800/42, 318/45, 647/150 is 27432800.