Find the LCM of 418, 937, 286, 290, 157 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 418, 937, 286, 290, 157. So, keep reading to learn more.
Given numbers are 418,937,286,290,157
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 418,937,286,290,157 is 115911594370.
Find LCM of 418,937,286,290,157 with Prime Factorization
2 | 418, 937, 286, 290, 157 |
11 | 209, 937, 143, 145, 157 |
19, 937, 13, 145, 157 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 19 x 937 x 13 x 145 x 157 = 115911594370
Therefore, the lowest common multiple of 418,937,286,290,157 is 115911594370.
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.
418 x 937 x 286 x 290 x 157 = 5100110152280
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.
418 : 1, 2, 11, 19, 22, 38, 209, 418
937 : 1, 937
286 : 1, 2, 11, 13, 22, 26, 143, 286
290 : 1, 2, 5, 10, 29, 58, 145, 290
157 : 1, 157
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 418,937,286,290,157, is 1.
Now, the common factors can be found like this.
418:2x 11x 19
937:937
286:2x 11x 13
290:2x 5x 29
157:157
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 11 = 44
Therefore, the value for common factors is 44.
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 = 5100110152280/(1x44)
LCM = 5100110152280/44
LCM = 115911594370
Thus, we can understand that the LCM of 418,937,286,290,157 is 115911594370.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 418, 937, 286, 290, 157?
Answer: LCM of 418, 937, 286, 290, 157 is 115911594370.
2. How to calculate the LCM of 418, 937, 286, 290, 157?
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 418, 937, 286, 290, 157.
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}.