LCM of 645, 385, 350, 610, 615
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 645, 385, 350, 610, 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 645, 385, 350, 610, 615. So, keep reading to learn more.
Given numbers are 645,385,350,610,615
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 645,385,350,610,615 is 1242121650.
Find LCM of 645,385,350,610,615 with Prime Factorization
| 2 | 645, 385, 350, 610, 615 |
| 3 | 645, 385, 175, 305, 615 |
| 5 | 215, 385, 175, 305, 205 |
| 7 | 43, 77, 35, 61, 41 |
| 43, 11, 5, 61, 41 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 43 x 11 x 5 x 61 x 41 = 1242121650
Therefore, the lowest common multiple of 645,385,350,610,615 is 1242121650.
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.
645 x 385 x 350 x 610 x 615 = 32605693312500
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.
645 : 1, 3, 5, 15, 43, 129, 215, 645
385 : 1, 5, 7, 11, 35, 55, 77, 385
350 : 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350
610 : 1, 2, 5, 10, 61, 122, 305, 610
615 : 1, 3, 5, 15, 41, 123, 205, 615
5 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 645,385,350,610,615, is 5.
Now, the common factors can be found like this.
645:3x 5x 43
385:5x 7x 11
350:2x 5x 5x 7
610:2x 5x 61
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 3x 5x 5x 5x 7 = 5250
Therefore, the value for common factors is 5250.
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 = 32605693312500/(5x5250)
LCM = 32605693312500/26250
LCM = 1242121650
Thus, we can understand that the LCM of 645,385,350,610,615 is 1242121650.
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FAQs on LCM of 645, 385, 350, 610, 615
1. What is the LCM of 645, 385, 350, 610, 615?
Answer: LCM of 645, 385, 350, 610, 615 is 1242121650.
2. How to calculate the LCM of 645, 385, 350, 610, 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 645, 385, 350, 610, 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}.