Least Common Multiple of 715/447, 200/912

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 715/447, 200/912 quickly i.e. 28600/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 715/447, 200/912 is 28600/3.

LCM(715/447, 200/912) = 28600/3

LCM of 715/447, 200/912

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 715/447,200/912

Given numbers are 715/447,200/912

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 715,200

Least Common Multiple of Numerators i.e. LCM of 715,200 is 28600.

GCF of Denominators means GCF of 447,912 as per the given fractions.

GCF of 447,912 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 715,200

LCM of Fractions 715/447,200/912 is 28600/3

5 715, 200
143, 40

∴ So the LCM of the given numbers is 5 x 143 x 40 = 28600

Least Common Multiple of 715,200 with GCF Formula

Least Common Multiple of 715,200 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 715,200 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(715,200) = 5

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

GCF(715,200) x common factors =5 x 1 = 5

LCM(715,200) = ( 715 × 200 ) / 5

LCM(715,200) = 143000 / 5

LCM(715,200) = 28600


Lets's calculate GCF of 447,912

3 447, 912
149, 304

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28600/3

Therefore the LCM of Fractions 715/447,200/912 is 28600/3

Greatest Common Factor of 447,912 By Matching Biggest Common Factor Method

Greatest Common Factor of 447,912 By Matching Biggest Common Factor Method

Factors of 447

List of positive integer factors of 447 that divides 447 without a remainder.

1,3,149,447

Factors of 912

List of positive integer factors of 912 that divides 912 without a remainder.

1,2,3,4,6,8,12,16,19,24,38,48,57,76,114,152,228,304,456,912

Greatest Common Factor

We found the factors 447,912 . The biggest common factor number is the GCF number.
So the greatest common factor 447,912 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 715/447, 200/912

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 715/447, 200/912?

Answer: LCM of Numerators as per given numbers 715/447, 200/912 is

LCM of Numerators i.e. for 715,200 is 28600

GCF of denominators i.e. for 447,912 is 3.

Thus, LCM of Fractions is 28600/3.Finally, LCM of Fractions for 715/447, 200/912 is 28600/3.