Least Common Multiple of 87/125, 184/769, 268/566

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 87/125, 184/769, 268/566 quickly i.e. 1072536 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 87/125, 184/769, 268/566 is 1072536.

LCM(87/125, 184/769, 268/566) = 1072536

LCM of 87/125, 184/769, 268/566

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 87/125,184/769,268/566

Given numbers are 87/125,184/769,268/566

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 87,184,268

Least Common Multiple of Numerators i.e. LCM of 87,184,268 is 1072536.

GCF of Denominators means GCF of 125,769,566 as per the given fractions.

GCF of 125,769,566 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 87,184,268

LCM of Fractions 87/125,184/769,268/566 is 1072536

2 87, 184, 268
2 87, 92, 134
87, 46, 67

∴ So the LCM of the given numbers is 2 x 2 x 87 x 46 x 67 = 1072536

Least Common Multiple of 87,184,268 with GCF Formula

Least Common Multiple of 87,184,268 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 87,184,268 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,184,268) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(87,184,268) x common factors =1 x 4 = 4

LCM(87,184,268) = ( 87 × 184 × 268 ) / 4

LCM(87,184,268) = 4290144 / 4

LCM(87,184,268) = 1072536


Lets's calculate GCF of 125,769,566

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1072536/1

Therefore the LCM of Fractions 87/125,184/769,268/566 is 1072536

Greatest Common Factor of 125,769,566 By Matching Biggest Common Factor Method

Greatest Common Factor of 125,769,566 By Matching Biggest Common Factor Method

Factors of 125

List of positive integer factors of 125 that divides 125 without a remainder.

1,5,25,125

Factors of 769

List of positive integer factors of 769 that divides 769 without a remainder.

1,769

Factors of 566

List of positive integer factors of 566 that divides 566 without a remainder.

1,2,283,566

Greatest Common Factor

We found the factors 125,769,566 . The biggest common factor number is the GCF number.
So the greatest common factor 125,769,566 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 87/125, 184/769, 268/566

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 87/125, 184/769, 268/566?

Answer: LCM of Numerators as per given numbers 87/125, 184/769, 268/566 is

LCM of Numerators i.e. for 87,184,268 is 1072536

GCF of denominators i.e. for 125,769,566 is 1.

Thus, LCM of Fractions is 1072536.Finally, LCM of Fractions for 87/125, 184/769, 268/566 is 1072536.