Least Common Multiple of 87/800, 659/245, 500/414

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 87/800, 659/245, 500/414 quickly i.e. 28666500 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 87/800, 659/245, 500/414 is 28666500.

LCM(87/800, 659/245, 500/414) = 28666500

LCM of 87/800, 659/245, 500/414

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 87/800,659/245,500/414

Given numbers are 87/800,659/245,500/414

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 87,659,500

Least Common Multiple of Numerators i.e. LCM of 87,659,500 is 28666500.

GCF of Denominators means GCF of 800,245,414 as per the given fractions.

GCF of 800,245,414 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 87,659,500

LCM of Fractions 87/800,659/245,500/414 is 28666500

Given numbers has no common factors except 1. So, there LCM is their product i.e 28666500

Least Common Multiple of 87,659,500 with GCF Formula

Least Common Multiple of 87,659,500 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 87,659,500 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,659,500) = 1

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

GCF(87,659,500) x common factors =1 x 1 = 1

LCM(87,659,500) = ( 87 × 659 × 500 ) / 1

LCM(87,659,500) = 28666500 / 1

LCM(87,659,500) = 28666500


Lets's calculate GCF of 800,245,414

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28666500/1

Therefore the LCM of Fractions 87/800,659/245,500/414 is 28666500

Greatest Common Factor of 800,245,414 By Matching Biggest Common Factor Method

Greatest Common Factor of 800,245,414 By Matching Biggest Common Factor Method

Factors of 800

List of positive integer factors of 800 that divides 800 without a remainder.

1,2,4,5,8,10,16,20,25,32,40,50,80,100,160,200,400,800

Factors of 245

List of positive integer factors of 245 that divides 245 without a remainder.

1,5,7,35,49,245

Factors of 414

List of positive integer factors of 414 that divides 414 without a remainder.

1,2,3,6,9,18,23,46,69,138,207,414

Greatest Common Factor

We found the factors 800,245,414 . The biggest common factor number is the GCF number.
So the greatest common factor 800,245,414 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 87/800, 659/245, 500/414

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 87/800, 659/245, 500/414?

Answer: LCM of Numerators as per given numbers 87/800, 659/245, 500/414 is

LCM of Numerators i.e. for 87,659,500 is 28666500

GCF of denominators i.e. for 800,245,414 is 1.

Thus, LCM of Fractions is 28666500.Finally, LCM of Fractions for 87/800, 659/245, 500/414 is 28666500.