Least Common Multiple of 78, 68, 36, 77, 867

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 78, 68, 36, 77, 867 i.e. 10414404 smallest integer divisible by all numbers.

Least common multiple (LCM) of 78, 68, 36, 77, 867 is 10414404.

LCM(78, 68, 36, 77, 867) = 10414404

LCM of 78, 68, 36, 77, 867

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

LCM of:

Least Common Multiple of 78,68,36,77,867

Least Common Multiple (LCM) of 78,68,36,77,867 is 10414404

2 78, 68, 36, 77, 867
2 39, 34, 18, 77, 867
3 39, 17, 9, 77, 867
17 13, 17, 3, 77, 289
13, 1, 3, 77, 17

∴ So the LCM of the given numbers is 2 x 2 x 3 x 17 x 13 x 1 x 3 x 77 x 17 = 10414404

Least Common Multiple of 78,68,36,77,867 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 78,68,36,77,867 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,68,36,77,867) = 1

common factors(in case of two or more numbers have common factors) = 1224

GCF(78,68,36,77,867) x common factors =1 x 1224 = 1224

LCM(78,68,36,77,867) = ( 78 × 68 × 36 × 77 × 867 ) / 1224

LCM(78,68,36,77,867) = 12747230496 / 1224

LCM(78,68,36,77,867) = 10414404

∴ Least Common Multiple of 78,68,36,77,867 is 10414404

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 78, 68, 36, 77, 867

1. What is the LCM of 78, 68, 36, 77, 867?

Answer: LCM of 78, 68, 36, 77, 867 is 10414404.

2. What are the Factors of 10414404?

Answer: Factors of 10414404 are . There are integers that are factors of 10414404

3. How to Find the LCM of 78, 68, 36, 77, 867 ?

Least Common Multiple of 78, 68, 36, 77, 867.

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(78, 68, 36, 77, 867) = 2 x 2 x 3 x 3 x 7 x 11 x 13 x 17 x 17 = 10414404.