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 900, 708, 825, 414, 761 i.e. 10223502300 smallest integer divisible by all numbers.
Least common multiple (LCM) of 900, 708, 825, 414, 761 is 10223502300.
LCM(900, 708, 825, 414, 761) = 10223502300
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 900, 708, 825, 414, 761 |
2 | 450, 354, 825, 207, 761 |
3 | 225, 177, 825, 207, 761 |
3 | 75, 59, 275, 69, 761 |
5 | 25, 59, 275, 23, 761 |
5 | 5, 59, 55, 23, 761 |
1, 59, 11, 23, 761 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 5 x 5 x 1 x 59 x 11 x 23 x 761 = 10223502300
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 900,708,825,414,761 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(900,708,825,414,761) = 1
common factors(in case of two or more numbers have common factors) = 16200
GCF(900,708,825,414,761) x common factors =1 x 16200 = 16200
LCM(900,708,825,414,761) = ( 900 × 708 × 825 × 414 × 761 ) / 16200
LCM(900,708,825,414,761) = 165620737260000 / 16200
LCM(900,708,825,414,761) = 10223502300
∴ Least Common Multiple of 900,708,825,414,761 is 10223502300
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 900, 708, 825, 414, 761?
Answer: LCM of 900, 708, 825, 414, 761 is 10223502300.
2. What are the Factors of 10223502300?
Answer: Factors of 10223502300 are . There are integers that are factors of 10223502300
3. How to Find the LCM of 900, 708, 825, 414, 761 ?
Least Common Multiple of 900, 708, 825, 414, 761.
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(900, 708, 825, 414, 761) = 2 x 2 x 3 x 3 x 5 x 5 x 11 x 23 x 59 x 761 = 10223502300.