LCM of 615, 986, 400, 656, 692
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 615, 986, 400, 656, 692 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 615, 986, 400, 656, 692. So, keep reading to learn more.
Given numbers are 615,986,400,656,692
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 615,986,400,656,692 is 4196218800.
Find LCM of 615,986,400,656,692 with Prime Factorization
| 2 | 615, 986, 400, 656, 692 |
| 2 | 615, 493, 200, 328, 346 |
| 2 | 615, 493, 100, 164, 173 |
| 2 | 615, 493, 50, 82, 173 |
| 5 | 615, 493, 25, 41, 173 |
| 41 | 123, 493, 5, 41, 173 |
| 3, 493, 5, 1, 173 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 5 x 41 x 3 x 493 x 5 x 1 x 173 = 4196218800
Therefore, the lowest common multiple of 615,986,400,656,692 is 4196218800.
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.
615 x 986 x 400 x 656 x 692 = 110108781312000
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.
615 : 1, 3, 5, 15, 41, 123, 205, 615
986 : 1, 2, 17, 29, 34, 58, 493, 986
400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
656 : 1, 2, 4, 8, 16, 41, 82, 164, 328, 656
692 : 1, 2, 4, 173, 346, 692
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 615,986,400,656,692, is 1.
Now, the common factors can be found like this.
615:3x 5x 41
986:2x 17x 29
400:2x 2x 2x 2x 5x 5
656:2x 2x 2x 2x 41
692:2x 2x 173
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 2x 5x 41 = 26240
Therefore, the value for common factors is 26240.
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 = 110108781312000/(1x26240)
LCM = 110108781312000/26240
LCM = 4196218800
Thus, we can understand that the LCM of 615,986,400,656,692 is 4196218800.
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FAQs on LCM of 615, 986, 400, 656, 692
1. What is the LCM of 615, 986, 400, 656, 692?
Answer: LCM of 615, 986, 400, 656, 692 is 4196218800.
2. How to calculate the LCM of 615, 986, 400, 656, 692?
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 615, 986, 400, 656, 692.
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}.