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 64, 66, 66, 34 i.e. 35904 smallest integer divisible by all numbers.
Least common multiple (LCM) of 64, 66, 66, 34 is 35904.
LCM(64, 66, 66, 34) = 35904
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 64, 66, 66, 34 |
3 | 32, 33, 33, 17 |
11 | 32, 11, 11, 17 |
32, 1, 1, 17 |
∴ So the LCM of the given numbers is 2 x 3 x 11 x 32 x 1 x 1 x 17 = 35904
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 64,66,66,34 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(64,66,66,34) = 2
common factors(in case of two or more numbers have common factors) = 132
GCF(64,66,66,34) x common factors =2 x 132 = 264
LCM(64,66,66,34) = ( 64 × 66 × 66 × 34 ) / 264
LCM(64,66,66,34) = 9478656 / 264
LCM(64,66,66,34) = 35904
∴ Least Common Multiple of 64,66,66,34 is 35904
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 64, 66, 66, 34?
Answer: LCM of 64, 66, 66, 34 is 35904.
2. What are the Factors of 35904?
Answer: Factors of 35904 are . There are integers that are factors of 35904
3. How to Find the LCM of 64, 66, 66, 34 ?
Least Common Multiple of 64, 66, 66, 34.
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(64, 66, 66, 34) = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 11 x 17 = 35904.