Least Common Multiple of 567, 1005
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 567, 1005 i.e. 189945 smallest integer divisible by all numbers.
Least common multiple (LCM) of 567, 1005 is 189945.
LCM(567, 1005) = 189945
LCM of 567, 1005
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
- Least Common Multiple of 567, 1005 by common division method
- Least Common Multiple of 567, 1005 with GCF Formula
Least Common Multiple (LCM) of 567,1005 is 189945
| 3 | 567, 1005 |
| 189, 335 |
∴ So the LCM of the given numbers is 3 x 189 x 335 = 189945
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 567,1005 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(567,1005) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(567,1005) x common factors =3 x 1 = 3
LCM(567,1005) = ( 567 × 1005 ) / 3
LCM(567,1005) = 569835 / 3
LCM(567,1005) = 189945
∴ Least Common Multiple of 567,1005 is 189945
LCM of two or more Numbers Calculation Examples
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Frequently Asked Questions on LCM of 567, 1005
1. What is the LCM of 567, 1005?
Answer: LCM of 567, 1005 is 189945.
2. What are the Factors of 189945?
Answer: Factors of 189945 are . There are integers that are factors of 189945
3. How to Find the LCM of 567, 1005 ?
Least Common Multiple of 567, 1005.
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(567, 1005) = 3 x 3 x 3 x 3 x 5 x 7 x 67 = 189945.