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, 570, 496, 640 i.e. 19224960 smallest integer divisible by all numbers.
Least common multiple (LCM) of 969, 570, 496, 640 is 19224960.
LCM(969, 570, 496, 640) = 19224960
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 969, 570, 496, 640 |
2 | 969, 285, 248, 320 |
2 | 969, 285, 124, 160 |
2 | 969, 285, 62, 80 |
3 | 969, 285, 31, 40 |
5 | 323, 95, 31, 40 |
19 | 323, 19, 31, 8 |
17, 1, 31, 8 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 5 x 19 x 17 x 1 x 31 x 8 = 19224960
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 969,570,496,640 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(969,570,496,640) = 1
common factors(in case of two or more numbers have common factors) = 9120
GCF(969,570,496,640) x common factors =1 x 9120 = 9120
LCM(969,570,496,640) = ( 969 × 570 × 496 × 640 ) / 9120
LCM(969,570,496,640) = 175331635200 / 9120
LCM(969,570,496,640) = 19224960
∴ Least Common Multiple of 969,570,496,640 is 19224960
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 969, 570, 496, 640?
Answer: LCM of 969, 570, 496, 640 is 19224960.
2. What are the Factors of 19224960?
Answer: Factors of 19224960 are . There are integers that are factors of 19224960
3. How to Find the LCM of 969, 570, 496, 640 ?
Least Common Multiple of 969, 570, 496, 640.
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, 570, 496, 640) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 17 x 19 x 31 = 19224960.