LCM of 416, 757, 624, 949, 387
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 416, 757, 624, 949, 387 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 416, 757, 624, 949, 387. So, keep reading to learn more.
Given numbers are 416,757,624,949,387
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 416,757,624,949,387 is 8896578912.
Find LCM of 416,757,624,949,387 with Prime Factorization
| 2 | 416, 757, 624, 949, 387 |
| 2 | 208, 757, 312, 949, 387 |
| 2 | 104, 757, 156, 949, 387 |
| 2 | 52, 757, 78, 949, 387 |
| 3 | 26, 757, 39, 949, 387 |
| 13 | 26, 757, 13, 949, 129 |
| 2, 757, 1, 73, 129 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 13 x 2 x 757 x 1 x 73 x 129 = 8896578912
Therefore, the lowest common multiple of 416,757,624,949,387 is 8896578912.
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.
416 x 757 x 624 x 949 x 387 = 72169048134144
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.
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
757 : 1, 757
624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
949 : 1, 13, 73, 949
387 : 1, 3, 9, 43, 129, 387
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 416,757,624,949,387, is 1.
Now, the common factors can be found like this.
416:2x 2x 2x 2x 2x 13
757:757
624:2x 2x 2x 2x 3x 13
949:13x 73
387:3x 3x 43
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 3x 13x 13 = 8112
Therefore, the value for common factors is 8112.
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 = 72169048134144/(1x8112)
LCM = 72169048134144/8112
LCM = 8896578912
Thus, we can understand that the LCM of 416,757,624,949,387 is 8896578912.
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FAQs on LCM of 416, 757, 624, 949, 387
1. What is the LCM of 416, 757, 624, 949, 387?
Answer: LCM of 416, 757, 624, 949, 387 is 8896578912.
2. How to calculate the LCM of 416, 757, 624, 949, 387?
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 416, 757, 624, 949, 387.
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}.