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 528, 814, 240 i.e. 97680 smallest integer divisible by all numbers.
Least common multiple (LCM) of 528, 814, 240 is 97680.
LCM(528, 814, 240) = 97680
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 528, 814, 240 |
2 | 264, 407, 120 |
2 | 132, 407, 60 |
2 | 66, 407, 30 |
3 | 33, 407, 15 |
11 | 11, 407, 5 |
1, 37, 5 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 11 x 1 x 37 x 5 = 97680
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 528,814,240 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(528,814,240) = 2
common factors(in case of two or more numbers have common factors) = 528
GCF(528,814,240) x common factors =2 x 528 = 1056
LCM(528,814,240) = ( 528 × 814 × 240 ) / 1056
LCM(528,814,240) = 103150080 / 1056
LCM(528,814,240) = 97680
∴ Least Common Multiple of 528,814,240 is 97680
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 528, 814, 240?
Answer: LCM of 528, 814, 240 is 97680.
2. What are the Factors of 97680?
Answer: Factors of 97680 are . There are integers that are factors of 97680
3. How to Find the LCM of 528, 814, 240 ?
Least Common Multiple of 528, 814, 240.
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(528, 814, 240) = 2 x 2 x 2 x 2 x 3 x 5 x 11 x 37 = 97680.