LCM of 351, 300, 948, 926, 829
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 351, 300, 948, 926, 829 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 351, 300, 948, 926, 829. So, keep reading to learn more.
Given numbers are 351,300,948,926,829
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 351,300,948,926,829 is 1064313888300.
Find LCM of 351,300,948,926,829 with Prime Factorization
| 2 | 351, 300, 948, 926, 829 |
| 2 | 351, 150, 474, 463, 829 |
| 3 | 351, 75, 237, 463, 829 |
| 117, 25, 79, 463, 829 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 117 x 25 x 79 x 463 x 829 = 1064313888300
Therefore, the lowest common multiple of 351,300,948,926,829 is 1064313888300.
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.
351 x 300 x 948 x 926 x 829 = 76630599957600
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.
351 : 1, 3, 9, 13, 27, 39, 117, 351
300 : 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
948 : 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
926 : 1, 2, 463, 926
829 : 1, 829
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 351,300,948,926,829, is 1.
Now, the common factors can be found like this.
351:3x 3x 3x 13
300:2x 2x 3x 5x 5
948:2x 2x 3x 79
926:2x 463
829:829
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 3x 3 = 72
Therefore, the value for common factors is 72.
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 = 76630599957600/(1x72)
LCM = 76630599957600/72
LCM = 1064313888300
Thus, we can understand that the LCM of 351,300,948,926,829 is 1064313888300.
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FAQs on LCM of 351, 300, 948, 926, 829
1. What is the LCM of 351, 300, 948, 926, 829?
Answer: LCM of 351, 300, 948, 926, 829 is 1064313888300.
2. How to calculate the LCM of 351, 300, 948, 926, 829?
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 351, 300, 948, 926, 829.
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}.