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 969, 986, 505, 578, 846 i.e. 68031677970 smallest integer divisible by all numbers.
Least common multiple (LCM) of 969, 986, 505, 578, 846 is 68031677970.
LCM(969, 986, 505, 578, 846) = 68031677970
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 969, 986, 505, 578, 846 |
3 | 969, 493, 505, 289, 423 |
17 | 323, 493, 505, 289, 141 |
19, 29, 505, 17, 141 |
∴ So the LCM of the given numbers is 2 x 3 x 17 x 19 x 29 x 505 x 17 x 141 = 68031677970
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 969,986,505,578,846 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(969,986,505,578,846) = 1
common factors(in case of two or more numbers have common factors) = 3468
GCF(969,986,505,578,846) x common factors =1 x 3468 = 3468
LCM(969,986,505,578,846) = ( 969 × 986 × 505 × 578 × 846 ) / 3468
LCM(969,986,505,578,846) = 235933859199960 / 3468
LCM(969,986,505,578,846) = 68031677970
∴ Least Common Multiple of 969,986,505,578,846 is 68031677970
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 969, 986, 505, 578, 846?
Answer: LCM of 969, 986, 505, 578, 846 is 68031677970.
2. What are the Factors of 68031677970?
Answer: Factors of 68031677970 are . There are integers that are factors of 68031677970
3. How to Find the LCM of 969, 986, 505, 578, 846 ?
Least Common Multiple of 969, 986, 505, 578, 846.
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(969, 986, 505, 578, 846) = 2 x 3 x 3 x 5 x 17 x 17 x 19 x 29 x 47 x 101 = 68031677970.