LCM of 747, 664, 528, 735, 599
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 747, 664, 528, 735, 599 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 747, 664, 528, 735, 599. So, keep reading to learn more.
Given numbers are 747,664,528,735,599
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 747,664,528,735,599 is 19294173360.
Find LCM of 747,664,528,735,599 with Prime Factorization
| 2 | 747, 664, 528, 735, 599 |
| 2 | 747, 332, 264, 735, 599 |
| 2 | 747, 166, 132, 735, 599 |
| 3 | 747, 83, 66, 735, 599 |
| 83 | 249, 83, 22, 245, 599 |
| 3, 1, 22, 245, 599 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 83 x 3 x 1 x 22 x 245 x 599 = 19294173360
Therefore, the lowest common multiple of 747,664,528,735,599 is 19294173360.
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.
747 x 664 x 528 x 735 x 599 = 115301979999360
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.
747 : 1, 3, 9, 83, 249, 747
664 : 1, 2, 4, 8, 83, 166, 332, 664
528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
599 : 1, 599
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 747,664,528,735,599, is 1.
Now, the common factors can be found like this.
747:3x 3x 83
664:2x 2x 2x 83
528:2x 2x 2x 2x 3x 11
735:3x 5x 7x 7
599:599
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 3x 3x 83 = 5976
Therefore, the value for common factors is 5976.
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 = 115301979999360/(1x5976)
LCM = 115301979999360/5976
LCM = 19294173360
Thus, we can understand that the LCM of 747,664,528,735,599 is 19294173360.
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FAQs on LCM of 747, 664, 528, 735, 599
1. What is the LCM of 747, 664, 528, 735, 599?
Answer: LCM of 747, 664, 528, 735, 599 is 19294173360.
2. How to calculate the LCM of 747, 664, 528, 735, 599?
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 747, 664, 528, 735, 599.
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}.