Least Common Multiple of 308/32, 355/414

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 308/32, 355/414 quickly i.e. 54670 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 308/32, 355/414 is 54670.

LCM(308/32, 355/414) = 54670

LCM of 308/32, 355/414

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 308/32,355/414

Given numbers are 308/32,355/414

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 308,355

Least Common Multiple of Numerators i.e. LCM of 308,355 is 109340.

GCF of Denominators means GCF of 32,414 as per the given fractions.

GCF of 32,414 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 308,355

LCM of Fractions 308/32,355/414 is 54670

Given numbers has no common factors except 1. So, there LCM is their product i.e 109340

Least Common Multiple of 308,355 with GCF Formula

Least Common Multiple of 308,355 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 308,355 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(308,355) = 1

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

GCF(308,355) x common factors =1 x 1 = 1

LCM(308,355) = ( 308 × 355 ) / 1

LCM(308,355) = 109340 / 1

LCM(308,355) = 109340


Lets's calculate GCF of 32,414

2 32, 414
16, 207

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 109340/2

Therefore the LCM of Fractions 308/32,355/414 is 54670

Greatest Common Factor of 32,414 By Matching Biggest Common Factor Method

Greatest Common Factor of 32,414 By Matching Biggest Common Factor Method

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 414

List of positive integer factors of 414 that divides 414 without a remainder.

1,2,3,6,9,18,23,46,69,138,207,414

Greatest Common Factor

We found the factors 32,414 . The biggest common factor number is the GCF number.
So the greatest common factor 32,414 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 308/32, 355/414

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 308/32, 355/414?

Answer: LCM of Numerators as per given numbers 308/32, 355/414 is

LCM of Numerators i.e. for 308,355 is 109340

GCF of denominators i.e. for 32,414 is 2.

Thus, LCM of Fractions is 54670.Finally, LCM of Fractions for 308/32, 355/414 is 54670.