Least Common Multiple of 206/95, 270/8495

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 206/95, 270/8495 quickly i.e. 5562 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 206/95, 270/8495 is 5562.

LCM(206/95, 270/8495) = 5562

LCM of 206/95, 270/8495

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 206/95,270/8495

Given numbers are 206/95,270/8495

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 206,270

Least Common Multiple of Numerators i.e. LCM of 206,270 is 27810.

GCF of Denominators means GCF of 95,8495 as per the given fractions.

GCF of 95,8495 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 206,270

LCM of Fractions 206/95,270/8495 is 5562

2 206, 270
103, 135

∴ So the LCM of the given numbers is 2 x 103 x 135 = 27810

Least Common Multiple of 206,270 with GCF Formula

Least Common Multiple of 206,270 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 206,270 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(206,270) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(206,270) x common factors =2 x 1 = 2

LCM(206,270) = ( 206 × 270 ) / 2

LCM(206,270) = 55620 / 2

LCM(206,270) = 27810


Lets's calculate GCF of 95,8495

5 95, 8495
19, 1699

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27810/5

Therefore the LCM of Fractions 206/95,270/8495 is 5562

Greatest Common Factor of 95,8495 By Matching Biggest Common Factor Method

Greatest Common Factor of 95,8495 By Matching Biggest Common Factor Method

Factors of 95

List of positive integer factors of 95 that divides 95 without a remainder.

1,5,19,95

Factors of 8495

List of positive integer factors of 8495 that divides 8495 without a remainder.

1,5,1699,8495

Greatest Common Factor

We found the factors 95,8495 . The biggest common factor number is the GCF number.
So the greatest common factor 95,8495 is 5.


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 206/95, 270/8495

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 206/95, 270/8495?

Answer: LCM of Numerators as per given numbers 206/95, 270/8495 is

LCM of Numerators i.e. for 206,270 is 27810

GCF of denominators i.e. for 95,8495 is 5.

Thus, LCM of Fractions is 5562.Finally, LCM of Fractions for 206/95, 270/8495 is 5562.