LCM of 420, 501, 115, 238, 828
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 420, 501, 115, 238, 828 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 420, 501, 115, 238, 828. So, keep reading to learn more.
Given numbers are 420,501,115,238,828
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 420,501,115,238,828 is 82274220.
Find LCM of 420,501,115,238,828 with Prime Factorization
| 2 | 420, 501, 115, 238, 828 |
| 2 | 210, 501, 115, 119, 414 |
| 3 | 105, 501, 115, 119, 207 |
| 5 | 35, 167, 115, 119, 69 |
| 7 | 7, 167, 23, 119, 69 |
| 23 | 1, 167, 23, 17, 69 |
| 1, 167, 1, 17, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 7 x 23 x 1 x 167 x 1 x 17 x 3 = 82274220
Therefore, the lowest common multiple of 420,501,115,238,828 is 82274220.
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.
420 x 501 x 115 x 238 x 828 = 4768613791200
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.
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
501 : 1, 3, 167, 501
115 : 1, 5, 23, 115
238 : 1, 2, 7, 14, 17, 34, 119, 238
828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 420,501,115,238,828, is 1.
Now, the common factors can be found like this.
420:2x 2x 3x 5x 7
501:3x 167
115:5x 23
238:2x 7x 17
828:2x 2x 3x 3x 23
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 5x 7x 23 = 57960
Therefore, the value for common factors is 57960.
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 = 4768613791200/(1x57960)
LCM = 4768613791200/57960
LCM = 82274220
Thus, we can understand that the LCM of 420,501,115,238,828 is 82274220.
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FAQs on LCM of 420, 501, 115, 238, 828
1. What is the LCM of 420, 501, 115, 238, 828?
Answer: LCM of 420, 501, 115, 238, 828 is 82274220.
2. How to calculate the LCM of 420, 501, 115, 238, 828?
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 420, 501, 115, 238, 828.
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}.