LCM of 365, 826, 574, 678, 615
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 365, 826, 574, 678, 615 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 365, 826, 574, 678, 615. So, keep reading to learn more.
Given numbers are 365,826,574,678,615
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 365,826,574,678,615 is 4190409510.
Find LCM of 365,826,574,678,615 with Prime Factorization
| 2 | 365, 826, 574, 678, 615 |
| 3 | 365, 413, 287, 339, 615 |
| 5 | 365, 413, 287, 113, 205 |
| 7 | 73, 413, 287, 113, 41 |
| 41 | 73, 59, 41, 113, 41 |
| 73, 59, 1, 113, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 41 x 73 x 59 x 1 x 113 x 1 = 4190409510
Therefore, the lowest common multiple of 365,826,574,678,615 is 4190409510.
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.
365 x 826 x 574 x 678 x 615 = 72158851762200
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.
365 : 1, 5, 73, 365
826 : 1, 2, 7, 14, 59, 118, 413, 826
574 : 1, 2, 7, 14, 41, 82, 287, 574
678 : 1, 2, 3, 6, 113, 226, 339, 678
615 : 1, 3, 5, 15, 41, 123, 205, 615
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 365,826,574,678,615, is 1.
Now, the common factors can be found like this.
365:5x 73
826:2x 7x 59
574:2x 7x 41
678:2x 3x 113
615:3x 5x 41
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 3x 5x 7x 41 = 17220
Therefore, the value for common factors is 17220.
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 = 72158851762200/(1x17220)
LCM = 72158851762200/17220
LCM = 4190409510
Thus, we can understand that the LCM of 365,826,574,678,615 is 4190409510.
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FAQs on LCM of 365, 826, 574, 678, 615
1. What is the LCM of 365, 826, 574, 678, 615?
Answer: LCM of 365, 826, 574, 678, 615 is 4190409510.
2. How to calculate the LCM of 365, 826, 574, 678, 615?
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 365, 826, 574, 678, 615.
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}.