Least Common Multiple of 87/894, 384/262, 800/984

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 87/894, 384/262, 800/984 quickly i.e. 139200 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 87/894, 384/262, 800/984 is 139200.

LCM(87/894, 384/262, 800/984) = 139200

LCM of 87/894, 384/262, 800/984

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 87/894,384/262,800/984

Given numbers are 87/894,384/262,800/984

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 87,384,800

Least Common Multiple of Numerators i.e. LCM of 87,384,800 is 278400.

GCF of Denominators means GCF of 894,262,984 as per the given fractions.

GCF of 894,262,984 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 87,384,800

LCM of Fractions 87/894,384/262,800/984 is 139200

2 87, 384, 800
2 87, 192, 400
2 87, 96, 200
2 87, 48, 100
2 87, 24, 50
3 87, 12, 25
29, 4, 25

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 3 x 29 x 4 x 25 = 278400

Least Common Multiple of 87,384,800 with GCF Formula

Least Common Multiple of 87,384,800 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 87,384,800 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,384,800) = 1

common factors(in case of two or more numbers have common factors) = 96

GCF(87,384,800) x common factors =1 x 96 = 96

LCM(87,384,800) = ( 87 × 384 × 800 ) / 96

LCM(87,384,800) = 26726400 / 96

LCM(87,384,800) = 278400


Lets's calculate GCF of 894,262,984

2 894, 262, 984
447, 131, 492

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 278400/2

Therefore the LCM of Fractions 87/894,384/262,800/984 is 139200

Greatest Common Factor of 894,262,984 By Matching Biggest Common Factor Method

Greatest Common Factor of 894,262,984 By Matching Biggest Common Factor Method

Factors of 894

List of positive integer factors of 894 that divides 894 without a remainder.

1,2,3,6,149,298,447,894

Factors of 262

List of positive integer factors of 262 that divides 262 without a remainder.

1,2,131,262

Factors of 984

List of positive integer factors of 984 that divides 984 without a remainder.

1,2,3,4,6,8,12,24,41,82,123,164,246,328,492,984

Greatest Common Factor

We found the factors 894,262,984 . The biggest common factor number is the GCF number.
So the greatest common factor 894,262,984 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 87/894, 384/262, 800/984

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 87/894, 384/262, 800/984?

Answer: LCM of Numerators as per given numbers 87/894, 384/262, 800/984 is

LCM of Numerators i.e. for 87,384,800 is 278400

GCF of denominators i.e. for 894,262,984 is 2.

Thus, LCM of Fractions is 139200.Finally, LCM of Fractions for 87/894, 384/262, 800/984 is 139200.