Find the LCM of 750, 855, 532, 696, 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 750, 855, 532, 696, 176. So, keep reading to learn more.
Given numbers are 750,855,532,696,176
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 750,855,532,696,176 is 763686000.
Find LCM of 750,855,532,696,176 with Prime Factorization
2 | 750, 855, 532, 696, 176 |
2 | 375, 855, 266, 348, 88 |
2 | 375, 855, 133, 174, 44 |
3 | 375, 855, 133, 87, 22 |
5 | 125, 285, 133, 29, 22 |
19 | 25, 57, 133, 29, 22 |
25, 3, 7, 29, 22 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 19 x 25 x 3 x 7 x 29 x 22 = 763686000
Therefore, the lowest common multiple of 750,855,532,696,176 is 763686000.
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.
750 x 855 x 532 x 696 x 176 = 41788897920000
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.
750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750
855 : 1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855
532 : 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532
696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
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 750,855,532,696,176, is 1.
Now, the common factors can be found like this.
750:2x 3x 5x 5x 5
855:3x 3x 5x 19
532:2x 2x 7x 19
696:2x 2x 2x 3x 29
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 2x 2x 2x 3x 3x 5x 19 = 54720
Therefore, the value for common factors is 54720.
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 = 41788897920000/(1x54720)
LCM = 41788897920000/54720
LCM = 763686000
Thus, we can understand that the LCM of 750,855,532,696,176 is 763686000.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 750, 855, 532, 696, 176?
Answer: LCM of 750, 855, 532, 696, 176 is 763686000.
2. How to calculate the LCM of 750, 855, 532, 696, 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 750, 855, 532, 696, 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}.