Find the LCM of 343, 575, 874, 727, 299 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 343, 575, 874, 727, 299. So, keep reading to learn more.
Given numbers are 343,575,874,727,299
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 343,575,874,727,299 is 70830992050.
Find LCM of 343,575,874,727,299 with Prime Factorization
23 | 343, 575, 874, 727, 299 |
343, 25, 38, 727, 13 |
Multiply the prime numbers at the bottom and the left side.
23 x 343 x 25 x 38 x 727 x 13 = 70830992050
Therefore, the lowest common multiple of 343,575,874,727,299 is 70830992050.
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.
343 x 575 x 874 x 727 x 299 = 37469594794450
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.
343 : 1, 7, 49, 343
575 : 1, 5, 23, 25, 115, 575
874 : 1, 2, 19, 23, 38, 46, 437, 874
727 : 1, 727
299 : 1, 13, 23, 299
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 343,575,874,727,299, is 1.
Now, the common factors can be found like this.
343:7x 7x 7
575:5x 5x 23
874:2x 19x 23
727:727
299:13x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
23x 23 = 529
Therefore, the value for common factors is 529.
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 = 37469594794450/(1x529)
LCM = 37469594794450/529
LCM = 70830992050
Thus, we can understand that the LCM of 343,575,874,727,299 is 70830992050.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 343, 575, 874, 727, 299?
Answer: LCM of 343, 575, 874, 727, 299 is 70830992050.
2. How to calculate the LCM of 343, 575, 874, 727, 299?
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 343, 575, 874, 727, 299.
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}.