Least Common Multiple of 47/185, 186/135, 206/782

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 47/185, 186/135, 206/782 quickly i.e. 900426 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 47/185, 186/135, 206/782 is 900426.

LCM(47/185, 186/135, 206/782) = 900426

LCM of 47/185, 186/135, 206/782

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 47/185,186/135,206/782

Given numbers are 47/185,186/135,206/782

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 47,186,206

Least Common Multiple of Numerators i.e. LCM of 47,186,206 is 900426.

GCF of Denominators means GCF of 185,135,782 as per the given fractions.

GCF of 185,135,782 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 47,186,206

LCM of Fractions 47/185,186/135,206/782 is 900426

2 47, 186, 206
47, 93, 103

∴ So the LCM of the given numbers is 2 x 47 x 93 x 103 = 900426

Least Common Multiple of 47,186,206 with GCF Formula

Least Common Multiple of 47,186,206 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 47,186,206 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(47,186,206) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(47,186,206) x common factors =1 x 2 = 2

LCM(47,186,206) = ( 47 × 186 × 206 ) / 2

LCM(47,186,206) = 1800852 / 2

LCM(47,186,206) = 900426


Lets's calculate GCF of 185,135,782

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 900426/1

Therefore the LCM of Fractions 47/185,186/135,206/782 is 900426

Greatest Common Factor of 185,135,782 By Matching Biggest Common Factor Method

Greatest Common Factor of 185,135,782 By Matching Biggest Common Factor Method

Factors of 185

List of positive integer factors of 185 that divides 185 without a remainder.

1,5,37,185

Factors of 135

List of positive integer factors of 135 that divides 135 without a remainder.

1,3,5,9,15,27,45,135

Factors of 782

List of positive integer factors of 782 that divides 782 without a remainder.

1,2,17,23,34,46,391,782

Greatest Common Factor

We found the factors 185,135,782 . The biggest common factor number is the GCF number.
So the greatest common factor 185,135,782 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 47/185, 186/135, 206/782

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 47/185, 186/135, 206/782?

Answer: LCM of Numerators as per given numbers 47/185, 186/135, 206/782 is

LCM of Numerators i.e. for 47,186,206 is 900426

GCF of denominators i.e. for 185,135,782 is 1.

Thus, LCM of Fractions is 900426.Finally, LCM of Fractions for 47/185, 186/135, 206/782 is 900426.