LCM of 747, 780, 988, 580, 166
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 747, 780, 988, 580, 166 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, 780, 988, 580, 166. So, keep reading to learn more.
Given numbers are 747,780,988,580,166
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 747,780,988,580,166 is 107015220.
Find LCM of 747,780,988,580,166 with Prime Factorization
| 2 | 747, 780, 988, 580, 166 |
| 2 | 747, 390, 494, 290, 83 |
| 3 | 747, 195, 247, 145, 83 |
| 5 | 249, 65, 247, 145, 83 |
| 13 | 249, 13, 247, 29, 83 |
| 83 | 249, 1, 19, 29, 83 |
| 3, 1, 19, 29, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 13 x 83 x 3 x 1 x 19 x 29 x 1 = 107015220
Therefore, the lowest common multiple of 747,780,988,580,166 is 107015220.
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 780 x 988 x 580 x 166 = 55425322742400
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
780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
166 : 1, 2, 83, 166
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 747,780,988,580,166, is 1.
Now, the common factors can be found like this.
747:3x 3x 83
780:2x 2x 3x 5x 13
988:2x 2x 13x 19
580:2x 2x 5x 29
166:2x 83
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 3x 5x 13x 83 = 517920
Therefore, the value for common factors is 517920.
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 = 55425322742400/(1x517920)
LCM = 55425322742400/517920
LCM = 107015220
Thus, we can understand that the LCM of 747,780,988,580,166 is 107015220.
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FAQs on LCM of 747, 780, 988, 580, 166
1. What is the LCM of 747, 780, 988, 580, 166?
Answer: LCM of 747, 780, 988, 580, 166 is 107015220.
2. How to calculate the LCM of 747, 780, 988, 580, 166?
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, 780, 988, 580, 166.
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}.