LCM of 652, 800, 870, 934, 358
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 652, 800, 870, 934, 358 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 652, 800, 870, 934, 358. So, keep reading to learn more.
Given numbers are 652,800,870,934,358
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 652,800,870,934,358 is 948345866400.
Find LCM of 652,800,870,934,358 with Prime Factorization
| 2 | 652, 800, 870, 934, 358 |
| 2 | 326, 400, 435, 467, 179 |
| 5 | 163, 200, 435, 467, 179 |
| 163, 40, 87, 467, 179 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 163 x 40 x 87 x 467 x 179 = 948345866400
Therefore, the lowest common multiple of 652,800,870,934,358 is 948345866400.
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.
652 x 800 x 870 x 934 x 358 = 151735338624000
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.
652 : 1, 2, 4, 163, 326, 652
800 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800
870 : 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
934 : 1, 2, 467, 934
358 : 1, 2, 179, 358
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 652,800,870,934,358, is 2.
Now, the common factors can be found like this.
652:2x 2x 163
800:2x 2x 2x 2x 2x 5x 5
870:2x 3x 5x 29
934:2x 467
358:2x 179
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 5 = 80
Therefore, the value for common factors is 80.
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 = 151735338624000/(2x80)
LCM = 151735338624000/160
LCM = 948345866400
Thus, we can understand that the LCM of 652,800,870,934,358 is 948345866400.
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FAQs on LCM of 652, 800, 870, 934, 358
1. What is the LCM of 652, 800, 870, 934, 358?
Answer: LCM of 652, 800, 870, 934, 358 is 948345866400.
2. How to calculate the LCM of 652, 800, 870, 934, 358?
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 652, 800, 870, 934, 358.
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}.