Find the LCM of 153, 312, 561, 817, 176 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 153, 312, 561, 817, 176. So, keep reading to learn more.
Given numbers are 153,312,561,817,176
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 153,312,561,817,176 is 286002288.
Find LCM of 153,312,561,817,176 with Prime Factorization
2 | 153, 312, 561, 817, 176 |
2 | 153, 156, 561, 817, 88 |
2 | 153, 78, 561, 817, 44 |
3 | 153, 39, 561, 817, 22 |
11 | 51, 13, 187, 817, 22 |
17 | 51, 13, 17, 817, 2 |
3, 13, 1, 817, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 11 x 17 x 3 x 13 x 1 x 817 x 2 = 286002288
Therefore, the lowest common multiple of 153,312,561,817,176 is 286002288.
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.
153 x 312 x 561 x 817 x 176 = 3850734805632
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.
153 : 1, 3, 9, 17, 51, 153
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
561 : 1, 3, 11, 17, 33, 51, 187, 561
817 : 1, 19, 43, 817
176 : 1, 2, 4, 8, 11, 16, 22, 44, 88, 176
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 153,312,561,817,176, is 1.
Now, the common factors can be found like this.
153:3x 3x 17
312:2x 2x 2x 3x 13
561:3x 11x 17
817:19x 43
176:2x 2x 2x 2x 11
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 3x 3x 11x 17 = 13464
Therefore, the value for common factors is 13464.
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 = 3850734805632/(1x13464)
LCM = 3850734805632/13464
LCM = 286002288
Thus, we can understand that the LCM of 153,312,561,817,176 is 286002288.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 153, 312, 561, 817, 176?
Answer: LCM of 153, 312, 561, 817, 176 is 286002288.
2. How to calculate the LCM of 153, 312, 561, 817, 176?
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 153, 312, 561, 817, 176.
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}.