Find the LCM of 158, 587, 646, 374, 572 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 158, 587, 646, 374, 572. So, keep reading to learn more.
Given numbers are 158,587,646,374,572
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 158,587,646,374,572 is 8567689988.
Find LCM of 158,587,646,374,572 with Prime Factorization
2 | 158, 587, 646, 374, 572 |
11 | 79, 587, 323, 187, 286 |
17 | 79, 587, 323, 17, 26 |
79, 587, 19, 1, 26 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 17 x 79 x 587 x 19 x 1 x 26 = 8567689988
Therefore, the lowest common multiple of 158,587,646,374,572 is 8567689988.
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.
158 x 587 x 646 x 374 x 572 = 12817264222048
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.
158 : 1, 2, 79, 158
587 : 1, 587
646 : 1, 2, 17, 19, 34, 38, 323, 646
374 : 1, 2, 11, 17, 22, 34, 187, 374
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 158,587,646,374,572, is 1.
Now, the common factors can be found like this.
158:2x 79
587:587
646:2x 17x 19
374:2x 11x 17
572:2x 2x 11x 13
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 11x 17 = 1496
Therefore, the value for common factors is 1496.
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 = 12817264222048/(1x1496)
LCM = 12817264222048/1496
LCM = 8567689988
Thus, we can understand that the LCM of 158,587,646,374,572 is 8567689988.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 158, 587, 646, 374, 572?
Answer: LCM of 158, 587, 646, 374, 572 is 8567689988.
2. How to calculate the LCM of 158, 587, 646, 374, 572?
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 158, 587, 646, 374, 572.
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}.