LCM of 757, 944, 415, 432, 612
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 757, 944, 415, 432, 612 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 757, 944, 415, 432, 612. So, keep reading to learn more.
Given numbers are 757,944,415,432,612
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 757,944,415,432,612 is 136122104880.
Find LCM of 757,944,415,432,612 with Prime Factorization
| 2 | 757, 944, 415, 432, 612 |
| 2 | 757, 472, 415, 216, 306 |
| 2 | 757, 236, 415, 108, 153 |
| 2 | 757, 118, 415, 54, 153 |
| 3 | 757, 59, 415, 27, 153 |
| 3 | 757, 59, 415, 9, 51 |
| 757, 59, 415, 3, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 3 x 757 x 59 x 415 x 3 x 17 = 136122104880
Therefore, the lowest common multiple of 757,944,415,432,612 is 136122104880.
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.
757 x 944 x 415 x 432 x 612 = 78406332410880
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.
757 : 1, 757
944 : 1, 2, 4, 8, 16, 59, 118, 236, 472, 944
415 : 1, 5, 83, 415
432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 757,944,415,432,612, is 1.
Now, the common factors can be found like this.
757:757
944:2x 2x 2x 2x 59
415:5x 83
432:2x 2x 2x 2x 3x 3x 3
612:2x 2x 3x 3x 17
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 3x 3 = 576
Therefore, the value for common factors is 576.
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 = 78406332410880/(1x576)
LCM = 78406332410880/576
LCM = 136122104880
Thus, we can understand that the LCM of 757,944,415,432,612 is 136122104880.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 757, 944, 415, 432, 612
1. What is the LCM of 757, 944, 415, 432, 612?
Answer: LCM of 757, 944, 415, 432, 612 is 136122104880.
2. How to calculate the LCM of 757, 944, 415, 432, 612?
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 757, 944, 415, 432, 612.
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}.