Least Common Multiple of 385/68, 216/4092

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 385/68, 216/4092 quickly i.e. 20790 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 385/68, 216/4092 is 20790.

LCM(385/68, 216/4092) = 20790

LCM of 385/68, 216/4092

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 385/68,216/4092

Given numbers are 385/68,216/4092

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 385,216

Least Common Multiple of Numerators i.e. LCM of 385,216 is 83160.

GCF of Denominators means GCF of 68,4092 as per the given fractions.

GCF of 68,4092 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 385,216

LCM of Fractions 385/68,216/4092 is 20790

Given numbers has no common factors except 1. So, there LCM is their product i.e 83160

Least Common Multiple of 385,216 with GCF Formula

Least Common Multiple of 385,216 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 385,216 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(385,216) = 1

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

GCF(385,216) x common factors =1 x 1 = 1

LCM(385,216) = ( 385 × 216 ) / 1

LCM(385,216) = 83160 / 1

LCM(385,216) = 83160


Lets's calculate GCF of 68,4092

2 68, 4092
2 34, 2046
17, 1023

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 83160/4

Therefore the LCM of Fractions 385/68,216/4092 is 20790

Greatest Common Factor of 68,4092 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,4092 By Matching Biggest Common Factor Method

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 4092

List of positive integer factors of 4092 that divides 4092 without a remainder.

1,2,3,4,6,11,12,22,31,33,44,62,66,93,124,132,186,341,372,682,1023,1364,2046,4092

Greatest Common Factor

We found the factors 68,4092 . The biggest common factor number is the GCF number.
So the greatest common factor 68,4092 is 4.


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 385/68, 216/4092

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 385/68, 216/4092?

Answer: LCM of Numerators as per given numbers 385/68, 216/4092 is

LCM of Numerators i.e. for 385,216 is 83160

GCF of denominators i.e. for 68,4092 is 4.

Thus, LCM of Fractions is 20790.Finally, LCM of Fractions for 385/68, 216/4092 is 20790.