LCM of 846, 417, 330, 429, 733
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 846, 417, 330, 429, 733 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 846, 417, 330, 429, 733. So, keep reading to learn more.
Given numbers are 846,417,330,429,733
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 846,417,330,429,733 is 61630427430.
Find LCM of 846,417,330,429,733 with Prime Factorization
| 2 | 846, 417, 330, 429, 733 |
| 3 | 423, 417, 165, 429, 733 |
| 11 | 141, 139, 55, 143, 733 |
| 141, 139, 5, 13, 733 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 141 x 139 x 5 x 13 x 733 = 61630427430
Therefore, the lowest common multiple of 846,417,330,429,733 is 61630427430.
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.
846 x 417 x 330 x 429 x 733 = 36608473893420
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.
846 : 1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846
417 : 1, 3, 139, 417
330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
429 : 1, 3, 11, 13, 33, 39, 143, 429
733 : 1, 733
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 846,417,330,429,733, is 1.
Now, the common factors can be found like this.
846:2x 3x 3x 47
417:3x 139
330:2x 3x 5x 11
429:3x 11x 13
733:733
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 11 = 594
Therefore, the value for common factors is 594.
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 = 36608473893420/(1x594)
LCM = 36608473893420/594
LCM = 61630427430
Thus, we can understand that the LCM of 846,417,330,429,733 is 61630427430.
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FAQs on LCM of 846, 417, 330, 429, 733
1. What is the LCM of 846, 417, 330, 429, 733?
Answer: LCM of 846, 417, 330, 429, 733 is 61630427430.
2. How to calculate the LCM of 846, 417, 330, 429, 733?
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 846, 417, 330, 429, 733.
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}.