LCM of 717, 392, 764, 901, 272
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 717, 392, 764, 901, 272 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 717, 392, 764, 901, 272. So, keep reading to learn more.
Given numbers are 717,392,764,901,272
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 717,392,764,901,272 is 96737169648.
Find LCM of 717,392,764,901,272 with Prime Factorization
| 2 | 717, 392, 764, 901, 272 |
| 2 | 717, 196, 382, 901, 136 |
| 2 | 717, 98, 191, 901, 68 |
| 17 | 717, 49, 191, 901, 34 |
| 717, 49, 191, 53, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 17 x 717 x 49 x 191 x 53 x 2 = 96737169648
Therefore, the lowest common multiple of 717,392,764,901,272 is 96737169648.
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.
717 x 392 x 764 x 901 x 272 = 52625020288512
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.
717 : 1, 3, 239, 717
392 : 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392
764 : 1, 2, 4, 191, 382, 764
901 : 1, 17, 53, 901
272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 717,392,764,901,272, is 1.
Now, the common factors can be found like this.
717:3x 239
392:2x 2x 2x 7x 7
764:2x 2x 191
901:17x 53
272:2x 2x 2x 2x 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 17 = 544
Therefore, the value for common factors is 544.
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 = 52625020288512/(1x544)
LCM = 52625020288512/544
LCM = 96737169648
Thus, we can understand that the LCM of 717,392,764,901,272 is 96737169648.
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FAQs on LCM of 717, 392, 764, 901, 272
1. What is the LCM of 717, 392, 764, 901, 272?
Answer: LCM of 717, 392, 764, 901, 272 is 96737169648.
2. How to calculate the LCM of 717, 392, 764, 901, 272?
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 717, 392, 764, 901, 272.
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}.