LCM of 782, 953, 908, 404
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 782, 953, 908, 404 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 782, 953, 908, 404. So, keep reading to learn more.
Given numbers are 782,953,908,404
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 782,953,908,404 is 34172510084.
Find LCM of 782,953,908,404 with Prime Factorization
| 2 | 782, 953, 908, 404 |
| 2 | 391, 953, 454, 202 |
| 391, 953, 227, 101 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 391 x 953 x 227 x 101 = 34172510084
Therefore, the lowest common multiple of 782,953,908,404 is 34172510084.
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.
782 x 953 x 908 x 404 = 273380080672
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.
782 : 1, 2, 17, 23, 34, 46, 391, 782
953 : 1, 953
908 : 1, 2, 4, 227, 454, 908
404 : 1, 2, 4, 101, 202, 404
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 782,953,908,404, is 1.
Now, the common factors can be found like this.
782:2x 17x 23
953:953
908:2x 2x 227
404:2x 2x 101
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 2 = 8
Therefore, the value for common factors is 8.
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 = 273380080672/(1x8)
LCM = 273380080672/8
LCM = 34172510084
Thus, we can understand that the LCM of 782,953,908,404 is 34172510084.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 782, 953, 908, 404
1. What is the LCM of 782, 953, 908, 404?
Answer: LCM of 782, 953, 908, 404 is 34172510084.
2. How to calculate the LCM of 782, 953, 908, 404?
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 782, 953, 908, 404.
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}.