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 594, 140, 560, 992, 319 i.e. 299043360 smallest integer divisible by all numbers.
Least common multiple (LCM) of 594, 140, 560, 992, 319 is 299043360.
LCM(594, 140, 560, 992, 319) = 299043360
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 594, 140, 560, 992, 319 |
2 | 297, 70, 280, 496, 319 |
2 | 297, 35, 140, 248, 319 |
2 | 297, 35, 70, 124, 319 |
5 | 297, 35, 35, 62, 319 |
7 | 297, 7, 7, 62, 319 |
11 | 297, 1, 1, 62, 319 |
27, 1, 1, 62, 29 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 5 x 7 x 11 x 27 x 1 x 1 x 62 x 29 = 299043360
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 594,140,560,992,319 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(594,140,560,992,319) = 1
common factors(in case of two or more numbers have common factors) = 49280
GCF(594,140,560,992,319) x common factors =1 x 49280 = 49280
LCM(594,140,560,992,319) = ( 594 × 140 × 560 × 992 × 319 ) / 49280
LCM(594,140,560,992,319) = 14736856780800 / 49280
LCM(594,140,560,992,319) = 299043360
∴ Least Common Multiple of 594,140,560,992,319 is 299043360
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 594, 140, 560, 992, 319?
Answer: LCM of 594, 140, 560, 992, 319 is 299043360.
2. What are the Factors of 299043360?
Answer: Factors of 299043360 are . There are integers that are factors of 299043360
3. How to Find the LCM of 594, 140, 560, 992, 319 ?
Least Common Multiple of 594, 140, 560, 992, 319.
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(594, 140, 560, 992, 319) = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5 x 7 x 11 x 29 x 31 = 299043360.