Least Common Multiple of 40/206, 25/279, 736/170

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 40/206, 25/279, 736/170 quickly i.e. 18400 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 40/206, 25/279, 736/170 is 18400.

LCM(40/206, 25/279, 736/170) = 18400

LCM of 40/206, 25/279, 736/170

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 40/206,25/279,736/170

Given numbers are 40/206,25/279,736/170

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 40,25,736

Least Common Multiple of Numerators i.e. LCM of 40,25,736 is 18400.

GCF of Denominators means GCF of 206,279,170 as per the given fractions.

GCF of 206,279,170 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 40,25,736

LCM of Fractions 40/206,25/279,736/170 is 18400

2 40, 25, 736
2 20, 25, 368
2 10, 25, 184
5 5, 25, 92
1, 5, 92

∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 1 x 5 x 92 = 18400

Least Common Multiple of 40,25,736 with GCF Formula

Least Common Multiple of 40,25,736 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 40,25,736 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,25,736) = 1

common factors(in case of two or more numbers have common factors) = 40

GCF(40,25,736) x common factors =1 x 40 = 40

LCM(40,25,736) = ( 40 × 25 × 736 ) / 40

LCM(40,25,736) = 736000 / 40

LCM(40,25,736) = 18400


Lets's calculate GCF of 206,279,170

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18400/1

Therefore the LCM of Fractions 40/206,25/279,736/170 is 18400

Greatest Common Factor of 206,279,170 By Matching Biggest Common Factor Method

Greatest Common Factor of 206,279,170 By Matching Biggest Common Factor Method

Factors of 206

List of positive integer factors of 206 that divides 206 without a remainder.

1,2,103,206

Factors of 279

List of positive integer factors of 279 that divides 279 without a remainder.

1,3,9,31,93,279

Factors of 170

List of positive integer factors of 170 that divides 170 without a remainder.

1,2,5,10,17,34,85,170

Greatest Common Factor

We found the factors 206,279,170 . The biggest common factor number is the GCF number.
So the greatest common factor 206,279,170 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 40/206, 25/279, 736/170

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 40/206, 25/279, 736/170?

Answer: LCM of Numerators as per given numbers 40/206, 25/279, 736/170 is

LCM of Numerators i.e. for 40,25,736 is 18400

GCF of denominators i.e. for 206,279,170 is 1.

Thus, LCM of Fractions is 18400.Finally, LCM of Fractions for 40/206, 25/279, 736/170 is 18400.