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 150, 670, 900, 468 i.e. 783900 smallest integer divisible by all numbers.
Least common multiple (LCM) of 150, 670, 900, 468 is 783900.
LCM(150, 670, 900, 468) = 783900
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 150, 670, 900, 468 |
2 | 75, 335, 450, 234 |
3 | 75, 335, 225, 117 |
3 | 25, 335, 75, 39 |
5 | 25, 335, 25, 13 |
5 | 5, 67, 5, 13 |
1, 67, 1, 13 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 5 x 5 x 1 x 67 x 1 x 13 = 783900
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 150,670,900,468 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(150,670,900,468) = 2
common factors(in case of two or more numbers have common factors) = 27000
GCF(150,670,900,468) x common factors =2 x 27000 = 54000
LCM(150,670,900,468) = ( 150 × 670 × 900 × 468 ) / 54000
LCM(150,670,900,468) = 42330600000 / 54000
LCM(150,670,900,468) = 783900
∴ Least Common Multiple of 150,670,900,468 is 783900
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 150, 670, 900, 468?
Answer: LCM of 150, 670, 900, 468 is 783900.
2. What are the Factors of 783900?
Answer: Factors of 783900 are . There are integers that are factors of 783900
3. How to Find the LCM of 150, 670, 900, 468 ?
Least Common Multiple of 150, 670, 900, 468.
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(150, 670, 900, 468) = 2 x 2 x 3 x 3 x 5 x 5 x 13 x 67 = 783900.