LCM of 408, 534, 200, 402, 655
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 408, 534, 200, 402, 655 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 408, 534, 200, 402, 655. So, keep reading to learn more.
Given numbers are 408,534,200,402,655
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 408,534,200,402,655 is 7967760600.
Find LCM of 408,534,200,402,655 with Prime Factorization
| 2 | 408, 534, 200, 402, 655 |
| 2 | 204, 267, 100, 201, 655 |
| 2 | 102, 267, 50, 201, 655 |
| 3 | 51, 267, 25, 201, 655 |
| 5 | 17, 89, 25, 67, 655 |
| 17, 89, 5, 67, 131 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 17 x 89 x 5 x 67 x 131 = 7967760600
Therefore, the lowest common multiple of 408,534,200,402,655 is 7967760600.
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.
408 x 534 x 200 x 402 x 655 = 11473575264000
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.
408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
534 : 1, 2, 3, 6, 89, 178, 267, 534
200 : 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
402 : 1, 2, 3, 6, 67, 134, 201, 402
655 : 1, 5, 131, 655
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 408,534,200,402,655, is 1.
Now, the common factors can be found like this.
408:2x 2x 2x 3x 17
534:2x 3x 89
200:2x 2x 2x 5x 5
402:2x 3x 67
655:5x 131
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 3x 3x 5 = 1440
Therefore, the value for common factors is 1440.
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 = 11473575264000/(1x1440)
LCM = 11473575264000/1440
LCM = 7967760600
Thus, we can understand that the LCM of 408,534,200,402,655 is 7967760600.
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FAQs on LCM of 408, 534, 200, 402, 655
1. What is the LCM of 408, 534, 200, 402, 655?
Answer: LCM of 408, 534, 200, 402, 655 is 7967760600.
2. How to calculate the LCM of 408, 534, 200, 402, 655?
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 408, 534, 200, 402, 655.
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}.