Find the LCM of 798, 319, 533, 385, 456 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 798, 319, 533, 385, 456. So, keep reading to learn more.
Given numbers are 798,319,533,385,456
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 798,319,533,385,456 is 2713630920.
Find LCM of 798,319,533,385,456 with Prime Factorization
2 | 798, 319, 533, 385, 456 |
3 | 399, 319, 533, 385, 228 |
7 | 133, 319, 533, 385, 76 |
11 | 19, 319, 533, 55, 76 |
19 | 19, 29, 533, 5, 76 |
1, 29, 533, 5, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 11 x 19 x 1 x 29 x 533 x 5 x 4 = 2713630920
Therefore, the lowest common multiple of 798,319,533,385,456 is 2713630920.
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.
798 x 319 x 533 x 385 x 456 = 23820252215760
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.
798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
319 : 1, 11, 29, 319
533 : 1, 13, 41, 533
385 : 1, 5, 7, 11, 35, 55, 77, 385
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 798,319,533,385,456, is 1.
Now, the common factors can be found like this.
798:2x 3x 7x 19
319:11x 29
533:13x 41
385:5x 7x 11
456:2x 2x 2x 3x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 7x 11x 19 = 8778
Therefore, the value for common factors is 8778.
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 = 23820252215760/(1x8778)
LCM = 23820252215760/8778
LCM = 2713630920
Thus, we can understand that the LCM of 798,319,533,385,456 is 2713630920.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 798, 319, 533, 385, 456?
Answer: LCM of 798, 319, 533, 385, 456 is 2713630920.
2. How to calculate the LCM of 798, 319, 533, 385, 456?
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 798, 319, 533, 385, 456.
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}.