Least Common Multiple of 87/80, 461/84, 510/850

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 87/80, 461/84, 510/850 quickly i.e. 3409095 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 87/80, 461/84, 510/850 is 3409095.

LCM(87/80, 461/84, 510/850) = 3409095

LCM of 87/80, 461/84, 510/850

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 87/80,461/84,510/850

Given numbers are 87/80,461/84,510/850

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 87,461,510

Least Common Multiple of Numerators i.e. LCM of 87,461,510 is 6818190.

GCF of Denominators means GCF of 80,84,850 as per the given fractions.

GCF of 80,84,850 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 87,461,510

LCM of Fractions 87/80,461/84,510/850 is 3409095

3 87, 461, 510
29, 461, 170

∴ So the LCM of the given numbers is 3 x 29 x 461 x 170 = 6818190

Least Common Multiple of 87,461,510 with GCF Formula

Least Common Multiple of 87,461,510 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 87,461,510 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,461,510) = 1

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

GCF(87,461,510) x common factors =1 x 3 = 3

LCM(87,461,510) = ( 87 × 461 × 510 ) / 3

LCM(87,461,510) = 20454570 / 3

LCM(87,461,510) = 6818190


Lets's calculate GCF of 80,84,850

2 80, 84, 850
40, 42, 425

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6818190/2

Therefore the LCM of Fractions 87/80,461/84,510/850 is 3409095

Greatest Common Factor of 80,84,850 By Matching Biggest Common Factor Method

Greatest Common Factor of 80,84,850 By Matching Biggest Common Factor Method

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 850

List of positive integer factors of 850 that divides 850 without a remainder.

1,2,5,10,17,25,34,50,85,170,425,850

Greatest Common Factor

We found the factors 80,84,850 . The biggest common factor number is the GCF number.
So the greatest common factor 80,84,850 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 87/80, 461/84, 510/850

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 87/80, 461/84, 510/850?

Answer: LCM of Numerators as per given numbers 87/80, 461/84, 510/850 is

LCM of Numerators i.e. for 87,461,510 is 6818190

GCF of denominators i.e. for 80,84,850 is 2.

Thus, LCM of Fractions is 3409095.Finally, LCM of Fractions for 87/80, 461/84, 510/850 is 3409095.