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 9200, 4500 i.e. 414000 smallest integer divisible by all numbers.
Least common multiple (LCM) of 9200, 4500 is 414000.
LCM(9200, 4500) = 414000
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 9200, 4500 |
2 | 4600, 2250 |
5 | 2300, 1125 |
5 | 460, 225 |
92, 45 |
∴ So the LCM of the given numbers is 2 x 2 x 5 x 5 x 92 x 45 = 414000
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 9200,4500 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9200,4500) = 100
common factors(in case of two or more numbers have common factors) = 1
GCF(9200,4500) x common factors =100 x 1 = 100
LCM(9200,4500) = ( 9200 × 4500 ) / 100
LCM(9200,4500) = 41400000 / 100
LCM(9200,4500) = 414000
∴ Least Common Multiple of 9200,4500 is 414000
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 9200, 4500?
Answer: LCM of 9200, 4500 is 414000.
2. What are the Factors of 414000?
Answer: Factors of 414000 are . There are integers that are factors of 414000
3. How to Find the LCM of 9200, 4500 ?
Least Common Multiple of 9200, 4500.
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(9200, 4500) = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 5 x 5 x 23 = 414000.