Find the LCM of 916, 967, 801, 901, 493 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 916, 967, 801, 901, 493. So, keep reading to learn more.
Given numbers are 916,967,801,901,493
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 916,967,801,901,493 is 18538613606988.
Find LCM of 916,967,801,901,493 with Prime Factorization
17 | 916, 967, 801, 901, 493 |
916, 967, 801, 53, 29 |
Multiply the prime numbers at the bottom and the left side.
17 x 916 x 967 x 801 x 53 x 29 = 18538613606988
Therefore, the lowest common multiple of 916,967,801,901,493 is 18538613606988.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
916 x 967 x 801 x 901 x 493 = 315156431318796
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
916 : 1, 2, 4, 229, 458, 916
967 : 1, 967
801 : 1, 3, 9, 89, 267, 801
901 : 1, 17, 53, 901
493 : 1, 17, 29, 493
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 916,967,801,901,493, is 1.
Now, the common factors can be found like this.
916:2x 2x 229
967:967
801:3x 3x 89
901:17x 53
493:17x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
17 = 17
Therefore, the value for common factors is 17.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 315156431318796/(1x17)
LCM = 315156431318796/17
LCM = 18538613606988
Thus, we can understand that the LCM of 916,967,801,901,493 is 18538613606988.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 916, 967, 801, 901, 493?
Answer: LCM of 916, 967, 801, 901, 493 is 18538613606988.
2. How to calculate the LCM of 916, 967, 801, 901, 493?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 916, 967, 801, 901, 493.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.