Find the LCM of 916, 452, 916, 598, 942 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, 452, 916, 598, 942. So, keep reading to learn more.
Given numbers are 916,452,916,598,942
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 916,452,916,598,942 is 14576928132.
Find LCM of 916,452,916,598,942 with Prime Factorization
2 | 916, 452, 916, 598, 942 |
2 | 458, 226, 458, 299, 471 |
229 | 229, 113, 229, 299, 471 |
1, 113, 1, 299, 471 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 229 x 1 x 113 x 1 x 299 x 471 = 14576928132
Therefore, the lowest common multiple of 916,452,916,598,942 is 14576928132.
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 452 x 916 x 598 x 942 = 213639458702592
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
452 : 1, 2, 4, 113, 226, 452
916 : 1, 2, 4, 229, 458, 916
598 : 1, 2, 13, 23, 26, 46, 299, 598
942 : 1, 2, 3, 6, 157, 314, 471, 942
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 916,452,916,598,942, is 2.
Now, the common factors can be found like this.
916:2x 2x 229
452:2x 2x 113
916:2x 2x 229
598:2x 13x 23
942:2x 3x 157
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 2x 2x 229 = 7328
Therefore, the value for common factors is 7328.
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 = 213639458702592/(2x7328)
LCM = 213639458702592/14656
LCM = 14576928132
Thus, we can understand that the LCM of 916,452,916,598,942 is 14576928132.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 916, 452, 916, 598, 942?
Answer: LCM of 916, 452, 916, 598, 942 is 14576928132.
2. How to calculate the LCM of 916, 452, 916, 598, 942?
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, 452, 916, 598, 942.
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}.