Least Common Multiple of 193/616, 363/674

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 193/616, 363/674 quickly i.e. 70059/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 193/616, 363/674 is 70059/2.

LCM(193/616, 363/674) = 70059/2

LCM of 193/616, 363/674

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 193/616,363/674

Given numbers are 193/616,363/674

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 193,363

Least Common Multiple of Numerators i.e. LCM of 193,363 is 70059.

GCF of Denominators means GCF of 616,674 as per the given fractions.

GCF of 616,674 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 193,363

LCM of Fractions 193/616,363/674 is 70059/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 70059

Least Common Multiple of 193,363 with GCF Formula

Least Common Multiple of 193,363 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 193,363 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(193,363) = 1

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

GCF(193,363) x common factors =1 x 1 = 1

LCM(193,363) = ( 193 × 363 ) / 1

LCM(193,363) = 70059 / 1

LCM(193,363) = 70059


Lets's calculate GCF of 616,674

2 616, 674
308, 337

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 70059/2

Therefore the LCM of Fractions 193/616,363/674 is 70059/2

Greatest Common Factor of 616,674 By Matching Biggest Common Factor Method

Greatest Common Factor of 616,674 By Matching Biggest Common Factor Method

Factors of 616

List of positive integer factors of 616 that divides 616 without a remainder.

1,2,4,7,8,11,14,22,28,44,56,77,88,154,308,616

Factors of 674

List of positive integer factors of 674 that divides 674 without a remainder.

1,2,337,674

Greatest Common Factor

We found the factors 616,674 . The biggest common factor number is the GCF number.
So the greatest common factor 616,674 is 2.


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 193/616, 363/674

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 193/616, 363/674?

Answer: LCM of Numerators as per given numbers 193/616, 363/674 is

LCM of Numerators i.e. for 193,363 is 70059

GCF of denominators i.e. for 616,674 is 2.

Thus, LCM of Fractions is 70059/2.Finally, LCM of Fractions for 193/616, 363/674 is 70059/2.