LCM of 370, 153, 648, 676, 629
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 370, 153, 648, 676, 629 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 370, 153, 648, 676, 629. So, keep reading to learn more.
Given numbers are 370,153,648,676,629
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 370,153,648,676,629 is 344415240.
Find LCM of 370,153,648,676,629 with Prime Factorization
| 2 | 370, 153, 648, 676, 629 |
| 2 | 185, 153, 324, 338, 629 |
| 3 | 185, 153, 162, 169, 629 |
| 3 | 185, 51, 54, 169, 629 |
| 17 | 185, 17, 18, 169, 629 |
| 37 | 185, 1, 18, 169, 37 |
| 5, 1, 18, 169, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 17 x 37 x 5 x 1 x 18 x 169 x 1 = 344415240
Therefore, the lowest common multiple of 370,153,648,676,629 is 344415240.
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.
370 x 153 x 648 x 676 x 629 = 15597877389120
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.
370 : 1, 2, 5, 10, 37, 74, 185, 370
153 : 1, 3, 9, 17, 51, 153
648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
629 : 1, 17, 37, 629
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 370,153,648,676,629, is 1.
Now, the common factors can be found like this.
370:2x 5x 37
153:3x 3x 17
648:2x 2x 2x 3x 3x 3x 3
676:2x 2x 13x 13
629:17x 37
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 17x 37 = 45288
Therefore, the value for common factors is 45288.
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 = 15597877389120/(1x45288)
LCM = 15597877389120/45288
LCM = 344415240
Thus, we can understand that the LCM of 370,153,648,676,629 is 344415240.
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FAQs on LCM of 370, 153, 648, 676, 629
1. What is the LCM of 370, 153, 648, 676, 629?
Answer: LCM of 370, 153, 648, 676, 629 is 344415240.
2. How to calculate the LCM of 370, 153, 648, 676, 629?
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 370, 153, 648, 676, 629.
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}.