Least Common Multiple of 87/94, 240/72, 461/800

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 87/94, 240/72, 461/800 quickly i.e. 1604280 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 87/94, 240/72, 461/800 is 1604280.

LCM(87/94, 240/72, 461/800) = 1604280

LCM of 87/94, 240/72, 461/800

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 87/94,240/72,461/800

Given numbers are 87/94,240/72,461/800

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 87,240,461

Least Common Multiple of Numerators i.e. LCM of 87,240,461 is 3208560.

GCF of Denominators means GCF of 94,72,800 as per the given fractions.

GCF of 94,72,800 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 87,240,461

LCM of Fractions 87/94,240/72,461/800 is 1604280

3 87, 240, 461
29, 80, 461

∴ So the LCM of the given numbers is 3 x 29 x 80 x 461 = 3208560

Least Common Multiple of 87,240,461 with GCF Formula

Least Common Multiple of 87,240,461 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 87,240,461 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,240,461) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(87,240,461) x common factors =1 x 3 = 3

LCM(87,240,461) = ( 87 × 240 × 461 ) / 3

LCM(87,240,461) = 9625680 / 3

LCM(87,240,461) = 3208560


Lets's calculate GCF of 94,72,800

2 94, 72, 800
47, 36, 400

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3208560/2

Therefore the LCM of Fractions 87/94,240/72,461/800 is 1604280

Greatest Common Factor of 94,72,800 By Matching Biggest Common Factor Method

Greatest Common Factor of 94,72,800 By Matching Biggest Common Factor Method

Factors of 94

List of positive integer factors of 94 that divides 94 without a remainder.

1,2,47,94

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

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

Greatest Common Factor

We found the factors 94,72,800 . The biggest common factor number is the GCF number.
So the greatest common factor 94,72,800 is 2.


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 87/94, 240/72, 461/800

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 87/94, 240/72, 461/800?

Answer: LCM of Numerators as per given numbers 87/94, 240/72, 461/800 is

LCM of Numerators i.e. for 87,240,461 is 3208560

GCF of denominators i.e. for 94,72,800 is 2.

Thus, LCM of Fractions is 1604280.Finally, LCM of Fractions for 87/94, 240/72, 461/800 is 1604280.