Least Common Multiple of 68, 99, 34, 774

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 68, 99, 34, 774 i.e. 289476 smallest integer divisible by all numbers.

Least common multiple (LCM) of 68, 99, 34, 774 is 289476.

LCM(68, 99, 34, 774) = 289476

LCM of 68, 99, 34, 774

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

LCM of:

Least Common Multiple of 68,99,34,774

Least Common Multiple (LCM) of 68,99,34,774 is 289476

2 68, 99, 34, 774
3 34, 99, 17, 387
3 34, 33, 17, 129
17 34, 11, 17, 43
2, 11, 1, 43

∴ So the LCM of the given numbers is 2 x 3 x 3 x 17 x 2 x 11 x 1 x 43 = 289476

Least Common Multiple of 68,99,34,774 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 68,99,34,774 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,99,34,774) = 1

common factors(in case of two or more numbers have common factors) = 612

GCF(68,99,34,774) x common factors =1 x 612 = 612

LCM(68,99,34,774) = ( 68 × 99 × 34 × 774 ) / 612

LCM(68,99,34,774) = 177159312 / 612

LCM(68,99,34,774) = 289476

∴ Least Common Multiple of 68,99,34,774 is 289476

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 68, 99, 34, 774

1. What is the LCM of 68, 99, 34, 774?

Answer: LCM of 68, 99, 34, 774 is 289476.

2. What are the Factors of 289476?

Answer: Factors of 289476 are . There are integers that are factors of 289476

3. How to Find the LCM of 68, 99, 34, 774 ?

Least Common Multiple of 68, 99, 34, 774.

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(68, 99, 34, 774) = 2 x 2 x 3 x 3 x 11 x 17 x 43 = 289476.