Least Common Multiple of 21, 335, 105
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 21, 335, 105 i.e. 7035 smallest integer divisible by all numbers.
Least common multiple (LCM) of 21, 335, 105 is 7035.
LCM(21, 335, 105) = 7035
LCM of 21, 335, 105
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
- Least Common Multiple of 21, 335, 105 by common division method
- Least Common Multiple of 21, 335, 105 with GCF Formula
Least Common Multiple (LCM) of 21,335,105 is 7035
| 3 | 21, 335, 105 |
| 5 | 7, 335, 35 |
| 7 | 7, 67, 7 |
| 1, 67, 1 |
∴ So the LCM of the given numbers is 3 x 5 x 7 x 1 x 67 x 1 = 7035
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 21,335,105 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(21,335,105) = 1
common factors(in case of two or more numbers have common factors) = 105
GCF(21,335,105) x common factors =1 x 105 = 105
LCM(21,335,105) = ( 21 × 335 × 105 ) / 105
LCM(21,335,105) = 738675 / 105
LCM(21,335,105) = 7035
∴ Least Common Multiple of 21,335,105 is 7035
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
Frequently Asked Questions on LCM of 21, 335, 105
1. What is the LCM of 21, 335, 105?
Answer: LCM of 21, 335, 105 is 7035.
2. What are the Factors of 7035?
Answer: Factors of 7035 are . There are integers that are factors of 7035
3. How to Find the LCM of 21, 335, 105 ?
Least Common Multiple of 21, 335, 105.
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(21, 335, 105) = 3 x 5 x 7 x 67 = 7035.