Find the LCM of 362, 915, 508, 118, 842 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 362, 915, 508, 118, 842. So, keep reading to learn more.
Given numbers are 362,915,508,118,842
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 362,915,508,118,842 is 2089765180380.
Find LCM of 362,915,508,118,842 with Prime Factorization
2 | 362, 915, 508, 118, 842 |
181, 915, 254, 59, 421 |
Multiply the prime numbers at the bottom and the left side.
2 x 181 x 915 x 254 x 59 x 421 = 2089765180380
Therefore, the lowest common multiple of 362,915,508,118,842 is 2089765180380.
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.
362 x 915 x 508 x 118 x 842 = 16718121443040
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.
362 : 1, 2, 181, 362
915 : 1, 3, 5, 15, 61, 183, 305, 915
508 : 1, 2, 4, 127, 254, 508
118 : 1, 2, 59, 118
842 : 1, 2, 421, 842
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 362,915,508,118,842, is 1.
Now, the common factors can be found like this.
362:2x 181
915:3x 5x 61
508:2x 2x 127
118:2x 59
842:2x 421
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 2 = 8
Therefore, the value for common factors is 8.
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 = 16718121443040/(1x8)
LCM = 16718121443040/8
LCM = 2089765180380
Thus, we can understand that the LCM of 362,915,508,118,842 is 2089765180380.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 362, 915, 508, 118, 842?
Answer: LCM of 362, 915, 508, 118, 842 is 2089765180380.
2. How to calculate the LCM of 362, 915, 508, 118, 842?
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 362, 915, 508, 118, 842.
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}.