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 624, 724, 905 i.e. 564720 smallest integer divisible by all numbers.
Least common multiple (LCM) of 624, 724, 905 is 564720.
LCM(624, 724, 905) = 564720
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 624, 724, 905 |
2 | 312, 362, 905 |
181 | 156, 181, 905 |
156, 1, 5 |
∴ So the LCM of the given numbers is 2 x 2 x 181 x 156 x 1 x 5 = 564720
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 624,724,905 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(624,724,905) = 1
common factors(in case of two or more numbers have common factors) = 724
GCF(624,724,905) x common factors =1 x 724 = 724
LCM(624,724,905) = ( 624 × 724 × 905 ) / 724
LCM(624,724,905) = 408857280 / 724
LCM(624,724,905) = 564720
∴ Least Common Multiple of 624,724,905 is 564720
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 624, 724, 905?
Answer: LCM of 624, 724, 905 is 564720.
2. What are the Factors of 564720?
Answer: Factors of 564720 are . There are integers that are factors of 564720
3. How to Find the LCM of 624, 724, 905 ?
Least Common Multiple of 624, 724, 905.
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(624, 724, 905) = 2 x 2 x 2 x 2 x 3 x 5 x 13 x 181 = 564720.