LCM of 747, 157, 702, 977, 648
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 747, 157, 702, 977, 648 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, 157, 702, 977, 648. So, keep reading to learn more.
Given numbers are 747,157,702,977,648
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 747,157,702,977,648 is 107248361688.
Find LCM of 747,157,702,977,648 with Prime Factorization
| 2 | 747, 157, 702, 977, 648 |
| 3 | 747, 157, 351, 977, 324 |
| 3 | 249, 157, 117, 977, 108 |
| 3 | 83, 157, 39, 977, 36 |
| 83, 157, 13, 977, 12 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 83 x 157 x 13 x 977 x 12 = 107248361688
Therefore, the lowest common multiple of 747,157,702,977,648 is 107248361688.
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 157 x 702 x 977 x 648 = 52122703780368
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
157 : 1, 157
702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
977 : 1, 977
648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 747,157,702,977,648, is 1.
Now, the common factors can be found like this.
747:3x 3x 83
157:157
702:2x 3x 3x 3x 13
977:977
648:2x 2x 2x 3x 3x 3x 3
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 3x 3 = 486
Therefore, the value for common factors is 486.
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 = 52122703780368/(1x486)
LCM = 52122703780368/486
LCM = 107248361688
Thus, we can understand that the LCM of 747,157,702,977,648 is 107248361688.
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FAQs on LCM of 747, 157, 702, 977, 648
1. What is the LCM of 747, 157, 702, 977, 648?
Answer: LCM of 747, 157, 702, 977, 648 is 107248361688.
2. How to calculate the LCM of 747, 157, 702, 977, 648?
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, 157, 702, 977, 648.
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}.