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 63, 10, 17, 945 i.e. 32130 smallest integer divisible by all numbers.
Least common multiple (LCM) of 63, 10, 17, 945 is 32130.
LCM(63, 10, 17, 945) = 32130
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
3 | 63, 10, 17, 945 |
3 | 21, 10, 17, 315 |
5 | 7, 10, 17, 105 |
7 | 7, 2, 17, 21 |
1, 2, 17, 3 |
∴ So the LCM of the given numbers is 3 x 3 x 5 x 7 x 1 x 2 x 17 x 3 = 32130
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 63,10,17,945 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(63,10,17,945) = 1
common factors(in case of two or more numbers have common factors) = 315
GCF(63,10,17,945) x common factors =1 x 315 = 315
LCM(63,10,17,945) = ( 63 × 10 × 17 × 945 ) / 315
LCM(63,10,17,945) = 10120950 / 315
LCM(63,10,17,945) = 32130
∴ Least Common Multiple of 63,10,17,945 is 32130
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 63, 10, 17, 945?
Answer: LCM of 63, 10, 17, 945 is 32130.
2. What are the Factors of 32130?
Answer: Factors of 32130 are . There are integers that are factors of 32130
3. How to Find the LCM of 63, 10, 17, 945 ?
Least Common Multiple of 63, 10, 17, 945.
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(63, 10, 17, 945) = 2 x 3 x 3 x 3 x 5 x 7 x 17 = 32130.