LCM of 229, 917, 462, 524, 380
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 229, 917, 462, 524, 380 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 229, 917, 462, 524, 380. So, keep reading to learn more.
Given numbers are 229,917,462,524,380
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 229,917,462,524,380 is 2633312220.
Find LCM of 229,917,462,524,380 with Prime Factorization
| 2 | 229, 917, 462, 524, 380 |
| 2 | 229, 917, 231, 262, 190 |
| 7 | 229, 917, 231, 131, 95 |
| 131 | 229, 131, 33, 131, 95 |
| 229, 1, 33, 1, 95 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 131 x 229 x 1 x 33 x 1 x 95 = 2633312220
Therefore, the lowest common multiple of 229,917,462,524,380 is 2633312220.
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.
229 x 917 x 462 x 524 x 380 = 19317978445920
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.
229 : 1, 229
917 : 1, 7, 131, 917
462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
524 : 1, 2, 4, 131, 262, 524
380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 229,917,462,524,380, is 1.
Now, the common factors can be found like this.
229:229
917:7x 131
462:2x 3x 7x 11
524:2x 2x 131
380:2x 2x 5x 19
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 7x 131 = 7336
Therefore, the value for common factors is 7336.
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 = 19317978445920/(1x7336)
LCM = 19317978445920/7336
LCM = 2633312220
Thus, we can understand that the LCM of 229,917,462,524,380 is 2633312220.
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FAQs on LCM of 229, 917, 462, 524, 380
1. What is the LCM of 229, 917, 462, 524, 380?
Answer: LCM of 229, 917, 462, 524, 380 is 2633312220.
2. How to calculate the LCM of 229, 917, 462, 524, 380?
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 229, 917, 462, 524, 380.
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}.