Least Common Multiple of 58/209, 45/206, 640/266

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 58/209, 45/206, 640/266 quickly i.e. 167040 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 58/209, 45/206, 640/266 is 167040.

LCM(58/209, 45/206, 640/266) = 167040

LCM of 58/209, 45/206, 640/266

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 58/209,45/206,640/266

Given numbers are 58/209,45/206,640/266

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 58,45,640

Least Common Multiple of Numerators i.e. LCM of 58,45,640 is 167040.

GCF of Denominators means GCF of 209,206,266 as per the given fractions.

GCF of 209,206,266 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 58,45,640

LCM of Fractions 58/209,45/206,640/266 is 167040

2 58, 45, 640
5 29, 45, 320
29, 9, 64

∴ So the LCM of the given numbers is 2 x 5 x 29 x 9 x 64 = 167040

Least Common Multiple of 58,45,640 with GCF Formula

Least Common Multiple of 58,45,640 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 58,45,640 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,45,640) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(58,45,640) x common factors =1 x 10 = 10

LCM(58,45,640) = ( 58 × 45 × 640 ) / 10

LCM(58,45,640) = 1670400 / 10

LCM(58,45,640) = 167040


Lets's calculate GCF of 209,206,266

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 167040/1

Therefore the LCM of Fractions 58/209,45/206,640/266 is 167040

Greatest Common Factor of 209,206,266 By Matching Biggest Common Factor Method

Greatest Common Factor of 209,206,266 By Matching Biggest Common Factor Method

Factors of 209

List of positive integer factors of 209 that divides 209 without a remainder.

1,11,19,209

Factors of 206

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

1,2,103,206

Factors of 266

List of positive integer factors of 266 that divides 266 without a remainder.

1,2,7,14,19,38,133,266

Greatest Common Factor

We found the factors 209,206,266 . The biggest common factor number is the GCF number.
So the greatest common factor 209,206,266 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 58/209, 45/206, 640/266

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 58/209, 45/206, 640/266?

Answer: LCM of Numerators as per given numbers 58/209, 45/206, 640/266 is

LCM of Numerators i.e. for 58,45,640 is 167040

GCF of denominators i.e. for 209,206,266 is 1.

Thus, LCM of Fractions is 167040.Finally, LCM of Fractions for 58/209, 45/206, 640/266 is 167040.