Least Common Multiple of 49/613, 67/645, 206/145

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 49/613, 67/645, 206/145 quickly i.e. 676298 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 49/613, 67/645, 206/145 is 676298.

LCM(49/613, 67/645, 206/145) = 676298

LCM of 49/613, 67/645, 206/145

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 49/613,67/645,206/145

Given numbers are 49/613,67/645,206/145

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 49,67,206

Least Common Multiple of Numerators i.e. LCM of 49,67,206 is 676298.

GCF of Denominators means GCF of 613,645,145 as per the given fractions.

GCF of 613,645,145 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 49,67,206

LCM of Fractions 49/613,67/645,206/145 is 676298

Given numbers has no common factors except 1. So, there LCM is their product i.e 676298

Least Common Multiple of 49,67,206 with GCF Formula

Least Common Multiple of 49,67,206 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 49,67,206 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,67,206) = 1

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

GCF(49,67,206) x common factors =1 x 1 = 1

LCM(49,67,206) = ( 49 × 67 × 206 ) / 1

LCM(49,67,206) = 676298 / 1

LCM(49,67,206) = 676298


Lets's calculate GCF of 613,645,145

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 676298/1

Therefore the LCM of Fractions 49/613,67/645,206/145 is 676298

Greatest Common Factor of 613,645,145 By Matching Biggest Common Factor Method

Greatest Common Factor of 613,645,145 By Matching Biggest Common Factor Method

Factors of 613

List of positive integer factors of 613 that divides 613 without a remainder.

1,613

Factors of 645

List of positive integer factors of 645 that divides 645 without a remainder.

1,3,5,15,43,129,215,645

Factors of 145

List of positive integer factors of 145 that divides 145 without a remainder.

1,5,29,145

Greatest Common Factor

We found the factors 613,645,145 . The biggest common factor number is the GCF number.
So the greatest common factor 613,645,145 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 49/613, 67/645, 206/145

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 49/613, 67/645, 206/145?

Answer: LCM of Numerators as per given numbers 49/613, 67/645, 206/145 is

LCM of Numerators i.e. for 49,67,206 is 676298

GCF of denominators i.e. for 613,645,145 is 1.

Thus, LCM of Fractions is 676298.Finally, LCM of Fractions for 49/613, 67/645, 206/145 is 676298.