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 393, 752, 536, 918, 951 i.e. 960364032912 smallest integer divisible by all numbers.
Least common multiple (LCM) of 393, 752, 536, 918, 951 is 960364032912.
LCM(393, 752, 536, 918, 951) = 960364032912
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 393, 752, 536, 918, 951 |
2 | 393, 376, 268, 459, 951 |
2 | 393, 188, 134, 459, 951 |
3 | 393, 94, 67, 459, 951 |
131, 94, 67, 153, 317 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 131 x 94 x 67 x 153 x 317 = 960364032912
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 393,752,536,918,951 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(393,752,536,918,951) = 1
common factors(in case of two or more numbers have common factors) = 144
GCF(393,752,536,918,951) x common factors =1 x 144 = 144
LCM(393,752,536,918,951) = ( 393 × 752 × 536 × 918 × 951 ) / 144
LCM(393,752,536,918,951) = 138292420739328 / 144
LCM(393,752,536,918,951) = 960364032912
∴ Least Common Multiple of 393,752,536,918,951 is 960364032912
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 393, 752, 536, 918, 951?
Answer: LCM of 393, 752, 536, 918, 951 is 960364032912.
2. What are the Factors of 960364032912?
Answer: Factors of 960364032912 are . There are integers that are factors of 960364032912
3. How to Find the LCM of 393, 752, 536, 918, 951 ?
Least Common Multiple of 393, 752, 536, 918, 951.
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(393, 752, 536, 918, 951) = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 17 x 47 x 67 x 131 x 317 = 960364032912.