LCM of 739, 264, 551, 580, 143
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 739, 264, 551, 580, 143 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 739, 264, 551, 580, 143. So, keep reading to learn more.
Given numbers are 739,264,551,580,143
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 739,264,551,580,143 is 6987363240.
Find LCM of 739,264,551,580,143 with Prime Factorization
| 2 | 739, 264, 551, 580, 143 |
| 2 | 739, 132, 551, 290, 143 |
| 11 | 739, 66, 551, 145, 143 |
| 29 | 739, 6, 551, 145, 13 |
| 739, 6, 19, 5, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 29 x 739 x 6 x 19 x 5 x 13 = 6987363240
Therefore, the lowest common multiple of 739,264,551,580,143 is 6987363240.
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.
739 x 264 x 551 x 580 x 143 = 8915875494240
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.
739 : 1, 739
264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
551 : 1, 19, 29, 551
580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
143 : 1, 11, 13, 143
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 739,264,551,580,143, is 1.
Now, the common factors can be found like this.
739:739
264:2x 2x 2x 3x 11
551:19x 29
580:2x 2x 5x 29
143:11x 13
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 11x 29 = 1276
Therefore, the value for common factors is 1276.
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 = 8915875494240/(1x1276)
LCM = 8915875494240/1276
LCM = 6987363240
Thus, we can understand that the LCM of 739,264,551,580,143 is 6987363240.
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FAQs on LCM of 739, 264, 551, 580, 143
1. What is the LCM of 739, 264, 551, 580, 143?
Answer: LCM of 739, 264, 551, 580, 143 is 6987363240.
2. How to calculate the LCM of 739, 264, 551, 580, 143?
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 739, 264, 551, 580, 143.
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}.