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 75, 64, 21, 35 i.e. 33600 smallest integer divisible by all numbers.
Least common multiple (LCM) of 75, 64, 21, 35 is 33600.
LCM(75, 64, 21, 35) = 33600
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
3 | 75, 64, 21, 35 |
5 | 25, 64, 7, 35 |
7 | 5, 64, 7, 7 |
5, 64, 1, 1 |
∴ So the LCM of the given numbers is 3 x 5 x 7 x 5 x 64 x 1 x 1 = 33600
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 75,64,21,35 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(75,64,21,35) = 1
common factors(in case of two or more numbers have common factors) = 105
GCF(75,64,21,35) x common factors =1 x 105 = 105
LCM(75,64,21,35) = ( 75 × 64 × 21 × 35 ) / 105
LCM(75,64,21,35) = 3528000 / 105
LCM(75,64,21,35) = 33600
∴ Least Common Multiple of 75,64,21,35 is 33600
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 75, 64, 21, 35?
Answer: LCM of 75, 64, 21, 35 is 33600.
2. What are the Factors of 33600?
Answer: Factors of 33600 are . There are integers that are factors of 33600
3. How to Find the LCM of 75, 64, 21, 35 ?
Least Common Multiple of 75, 64, 21, 35.
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(75, 64, 21, 35) = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 5 x 7 = 33600.