LCM of 733, 492, 808, 404, 910
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 733, 492, 808, 404, 910 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 733, 492, 808, 404, 910. So, keep reading to learn more.
Given numbers are 733,492,808,404,910
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 733,492,808,404,910 is 33146054760.
Find LCM of 733,492,808,404,910 with Prime Factorization
| 2 | 733, 492, 808, 404, 910 |
| 2 | 733, 246, 404, 202, 455 |
| 101 | 733, 123, 101, 202, 455 |
| 733, 123, 1, 2, 455 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 101 x 733 x 123 x 1 x 2 x 455 = 33146054760
Therefore, the lowest common multiple of 733,492,808,404,910 is 33146054760.
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.
733 x 492 x 808 x 404 x 910 = 107128048984320
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.
733 : 1, 733
492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492
808 : 1, 2, 4, 8, 101, 202, 404, 808
404 : 1, 2, 4, 101, 202, 404
910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 733,492,808,404,910, is 1.
Now, the common factors can be found like this.
733:733
492:2x 2x 3x 41
808:2x 2x 2x 101
404:2x 2x 101
910:2x 5x 7x 13
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 2x 2x 101 = 3232
Therefore, the value for common factors is 3232.
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 = 107128048984320/(1x3232)
LCM = 107128048984320/3232
LCM = 33146054760
Thus, we can understand that the LCM of 733,492,808,404,910 is 33146054760.
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FAQs on LCM of 733, 492, 808, 404, 910
1. What is the LCM of 733, 492, 808, 404, 910?
Answer: LCM of 733, 492, 808, 404, 910 is 33146054760.
2. How to calculate the LCM of 733, 492, 808, 404, 910?
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 733, 492, 808, 404, 910.
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}.