LCM of 619, 351, 436, 426, 297
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 619, 351, 436, 426, 297 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 619, 351, 436, 426, 297. So, keep reading to learn more.
Given numbers are 619,351,436,426,297
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 619,351,436,426,297 is 73983570804.
Find LCM of 619,351,436,426,297 with Prime Factorization
| 2 | 619, 351, 436, 426, 297 |
| 3 | 619, 351, 218, 213, 297 |
| 3 | 619, 117, 218, 71, 99 |
| 3 | 619, 39, 218, 71, 33 |
| 619, 13, 218, 71, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 619 x 13 x 218 x 71 x 11 = 73983570804
Therefore, the lowest common multiple of 619,351,436,426,297 is 73983570804.
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.
619 x 351 x 436 x 426 x 297 = 11985338470248
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.
619 : 1, 619
351 : 1, 3, 9, 13, 27, 39, 117, 351
436 : 1, 2, 4, 109, 218, 436
426 : 1, 2, 3, 6, 71, 142, 213, 426
297 : 1, 3, 9, 11, 27, 33, 99, 297
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 619,351,436,426,297, is 1.
Now, the common factors can be found like this.
619:619
351:3x 3x 3x 13
436:2x 2x 109
426:2x 3x 71
297:3x 3x 3x 11
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 3 = 162
Therefore, the value for common factors is 162.
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 = 11985338470248/(1x162)
LCM = 11985338470248/162
LCM = 73983570804
Thus, we can understand that the LCM of 619,351,436,426,297 is 73983570804.
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FAQs on LCM of 619, 351, 436, 426, 297
1. What is the LCM of 619, 351, 436, 426, 297?
Answer: LCM of 619, 351, 436, 426, 297 is 73983570804.
2. How to calculate the LCM of 619, 351, 436, 426, 297?
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 619, 351, 436, 426, 297.
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}.