LCM of 413, 404, 785, 354, 637
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 413, 404, 785, 354, 637 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 413, 404, 785, 354, 637. So, keep reading to learn more.
Given numbers are 413,404,785,354,637
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 413,404,785,354,637 is 35757217860.
Find LCM of 413,404,785,354,637 with Prime Factorization
| 2 | 413, 404, 785, 354, 637 |
| 7 | 413, 202, 785, 177, 637 |
| 59 | 59, 202, 785, 177, 91 |
| 1, 202, 785, 3, 91 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 59 x 1 x 202 x 785 x 3 x 91 = 35757217860
Therefore, the lowest common multiple of 413,404,785,354,637 is 35757217860.
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.
413 x 404 x 785 x 354 x 637 = 29535461952360
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.
413 : 1, 7, 59, 413
404 : 1, 2, 4, 101, 202, 404
785 : 1, 5, 157, 785
354 : 1, 2, 3, 6, 59, 118, 177, 354
637 : 1, 7, 13, 49, 91, 637
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 413,404,785,354,637, is 1.
Now, the common factors can be found like this.
413:7x 59
404:2x 2x 101
785:5x 157
354:2x 3x 59
637:7x 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 7x 59 = 826
Therefore, the value for common factors is 826.
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 = 29535461952360/(1x826)
LCM = 29535461952360/826
LCM = 35757217860
Thus, we can understand that the LCM of 413,404,785,354,637 is 35757217860.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 413, 404, 785, 354, 637
1. What is the LCM of 413, 404, 785, 354, 637?
Answer: LCM of 413, 404, 785, 354, 637 is 35757217860.
2. How to calculate the LCM of 413, 404, 785, 354, 637?
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 413, 404, 785, 354, 637.
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}.