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 431, 546, 676, 369, 816 i.e. 51174933264 smallest integer divisible by all numbers.
Least common multiple (LCM) of 431, 546, 676, 369, 816 is 51174933264.
LCM(431, 546, 676, 369, 816) = 51174933264
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 431, 546, 676, 369, 816 |
2 | 431, 273, 338, 369, 408 |
3 | 431, 273, 169, 369, 204 |
13 | 431, 91, 169, 123, 68 |
431, 7, 13, 123, 68 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 13 x 431 x 7 x 13 x 123 x 68 = 51174933264
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 431,546,676,369,816 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(431,546,676,369,816) = 1
common factors(in case of two or more numbers have common factors) = 936
GCF(431,546,676,369,816) x common factors =1 x 936 = 936
LCM(431,546,676,369,816) = ( 431 × 546 × 676 × 369 × 816 ) / 936
LCM(431,546,676,369,816) = 47899737535104 / 936
LCM(431,546,676,369,816) = 51174933264
∴ Least Common Multiple of 431,546,676,369,816 is 51174933264
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 431, 546, 676, 369, 816?
Answer: LCM of 431, 546, 676, 369, 816 is 51174933264.
2. What are the Factors of 51174933264?
Answer: Factors of 51174933264 are . There are integers that are factors of 51174933264
3. How to Find the LCM of 431, 546, 676, 369, 816 ?
Least Common Multiple of 431, 546, 676, 369, 816.
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(431, 546, 676, 369, 816) = 2 x 2 x 2 x 2 x 3 x 3 x 7 x 13 x 13 x 17 x 41 x 431 = 51174933264.