LCM of 418, 133, 506, 471, 828
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 418, 133, 506, 471, 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 418, 133, 506, 471, 828. So, keep reading to learn more.
Given numbers are 418,133,506,471,828
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 418,133,506,471,828 is 190184148.
Find LCM of 418,133,506,471,828 with Prime Factorization
| 2 | 418, 133, 506, 471, 828 |
| 3 | 209, 133, 253, 471, 414 |
| 11 | 209, 133, 253, 157, 138 |
| 19 | 19, 133, 23, 157, 138 |
| 23 | 1, 7, 23, 157, 138 |
| 1, 7, 1, 157, 6 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 19 x 23 x 1 x 7 x 1 x 157 x 6 = 190184148
Therefore, the lowest common multiple of 418,133,506,471,828 is 190184148.
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.
418 x 133 x 506 x 471 x 828 = 10970582393232
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.
418 : 1, 2, 11, 19, 22, 38, 209, 418
133 : 1, 7, 19, 133
506 : 1, 2, 11, 22, 23, 46, 253, 506
471 : 1, 3, 157, 471
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 418,133,506,471,828, is 1.
Now, the common factors can be found like this.
418:2x 11x 19
133:7x 19
506:2x 11x 23
471:3x 157
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 3x 11x 19x 23 = 57684
Therefore, the value for common factors is 57684.
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 = 10970582393232/(1x57684)
LCM = 10970582393232/57684
LCM = 190184148
Thus, we can understand that the LCM of 418,133,506,471,828 is 190184148.
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FAQs on LCM of 418, 133, 506, 471, 828
1. What is the LCM of 418, 133, 506, 471, 828?
Answer: LCM of 418, 133, 506, 471, 828 is 190184148.
2. How to calculate the LCM of 418, 133, 506, 471, 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 418, 133, 506, 471, 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}.