Least Common Multiple of 74, 69, 34, 111

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 74, 69, 34, 111 i.e. 86802 smallest integer divisible by all numbers.

Least common multiple (LCM) of 74, 69, 34, 111 is 86802.

LCM(74, 69, 34, 111) = 86802

LCM of 74, 69, 34, 111

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

LCM of:

Least Common Multiple of 74,69,34,111

Least Common Multiple (LCM) of 74,69,34,111 is 86802

2 74, 69, 34, 111
3 37, 69, 17, 111
37 37, 23, 17, 37
1, 23, 17, 1

∴ So the LCM of the given numbers is 2 x 3 x 37 x 1 x 23 x 17 x 1 = 86802

Least Common Multiple of 74,69,34,111 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 74,69,34,111 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,69,34,111) = 1

common factors(in case of two or more numbers have common factors) = 222

GCF(74,69,34,111) x common factors =1 x 222 = 222

LCM(74,69,34,111) = ( 74 × 69 × 34 × 111 ) / 222

LCM(74,69,34,111) = 19270044 / 222

LCM(74,69,34,111) = 86802

∴ Least Common Multiple of 74,69,34,111 is 86802

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 74, 69, 34, 111

1. What is the LCM of 74, 69, 34, 111?

Answer: LCM of 74, 69, 34, 111 is 86802.

2. What are the Factors of 86802?

Answer: Factors of 86802 are . There are integers that are factors of 86802

3. How to Find the LCM of 74, 69, 34, 111 ?

Least Common Multiple of 74, 69, 34, 111.

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(74, 69, 34, 111) = 2 x 3 x 17 x 23 x 37 = 86802.