Least Common Multiple of 816, 576, 374, 308, 366

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Use the LCM of two or more numbers Calculator to find the Least Common Multiple of numbers 816, 576, 374, 308, 366 i.e. 45993024 smallest integer divisible by all numbers.

Least common multiple (LCM) of 816, 576, 374, 308, 366 is 45993024.

LCM(816, 576, 374, 308, 366) = 45993024

LCM of 816, 576, 374, 308, 366

Least common multiple or lowest common denominator (lcd) can be calculated in three ways

LCM of:

Least Common Multiple of 816,576,374,308,366

Least Common Multiple (LCM) of 816,576,374,308,366 is 45993024

2 816, 576, 374, 308, 366
2 408, 288, 187, 154, 183
2 204, 144, 187, 77, 183
2 102, 72, 187, 77, 183
3 51, 36, 187, 77, 183
11 17, 12, 187, 77, 61
17 17, 12, 17, 7, 61
1, 12, 1, 7, 61

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 11 x 17 x 1 x 12 x 1 x 7 x 61 = 45993024

Least Common Multiple of 816,576,374,308,366 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 816,576,374,308,366 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(816,576,374,308,366) = 2

common factors(in case of two or more numbers have common factors) = 215424

GCF(816,576,374,308,366) x common factors =2 x 215424 = 430848

LCM(816,576,374,308,366) = ( 816 × 576 × 374 × 308 × 366 ) / 430848

LCM(816,576,374,308,366) = 19816002404352 / 430848

LCM(816,576,374,308,366) = 45993024

∴ Least Common Multiple of 816,576,374,308,366 is 45993024

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 816, 576, 374, 308, 366

1. What is the LCM of 816, 576, 374, 308, 366?

Answer: LCM of 816, 576, 374, 308, 366 is 45993024.

2. What are the Factors of 45993024?

Answer: Factors of 45993024 are . There are integers that are factors of 45993024

3. How to Find the LCM of 816, 576, 374, 308, 366 ?

Least Common Multiple of 816, 576, 374, 308, 366.

Step 1: Divide all the numbers with common prime numbers having remainder zero.

Step 2: Then multiply all the prime factors with last row quotient of common division that is LCM(816, 576, 374, 308, 366) = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 7 x 11 x 17 x 61 = 45993024.