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 823, 682, 744, 365, 708 i.e. 145047528120 smallest integer divisible by all numbers.
Least common multiple (LCM) of 823, 682, 744, 365, 708 is 145047528120.
LCM(823, 682, 744, 365, 708) = 145047528120
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 823, 682, 744, 365, 708 |
2 | 823, 341, 372, 365, 354 |
3 | 823, 341, 186, 365, 177 |
31 | 823, 341, 62, 365, 59 |
823, 11, 2, 365, 59 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 31 x 823 x 11 x 2 x 365 x 59 = 145047528120
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 823,682,744,365,708 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(823,682,744,365,708) = 1
common factors(in case of two or more numbers have common factors) = 744
GCF(823,682,744,365,708) x common factors =1 x 744 = 744
LCM(823,682,744,365,708) = ( 823 × 682 × 744 × 365 × 708 ) / 744
LCM(823,682,744,365,708) = 107915360921280 / 744
LCM(823,682,744,365,708) = 145047528120
∴ Least Common Multiple of 823,682,744,365,708 is 145047528120
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 823, 682, 744, 365, 708?
Answer: LCM of 823, 682, 744, 365, 708 is 145047528120.
2. What are the Factors of 145047528120?
Answer: Factors of 145047528120 are . There are integers that are factors of 145047528120
3. How to Find the LCM of 823, 682, 744, 365, 708 ?
Least Common Multiple of 823, 682, 744, 365, 708.
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(823, 682, 744, 365, 708) = 2 x 2 x 2 x 3 x 5 x 11 x 31 x 59 x 73 x 823 = 145047528120.