LCM of 443, 420, 118, 355, 798
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 443, 420, 118, 355, 798 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 443, 420, 118, 355, 798. So, keep reading to learn more.
Given numbers are 443,420,118,355,798
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 443,420,118,355,798 is 14808701460.
Find LCM of 443,420,118,355,798 with Prime Factorization
| 2 | 443, 420, 118, 355, 798 |
| 3 | 443, 210, 59, 355, 399 |
| 5 | 443, 70, 59, 355, 133 |
| 7 | 443, 14, 59, 71, 133 |
| 443, 2, 59, 71, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 443 x 2 x 59 x 71 x 19 = 14808701460
Therefore, the lowest common multiple of 443,420,118,355,798 is 14808701460.
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.
443 x 420 x 118 x 355 x 798 = 6219654613200
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.
443 : 1, 443
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
118 : 1, 2, 59, 118
355 : 1, 5, 71, 355
798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 443,420,118,355,798, is 1.
Now, the common factors can be found like this.
443:443
420:2x 2x 3x 5x 7
118:2x 59
355:5x 71
798:2x 3x 7x 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 2x 3x 5x 7 = 420
Therefore, the value for common factors is 420.
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 = 6219654613200/(1x420)
LCM = 6219654613200/420
LCM = 14808701460
Thus, we can understand that the LCM of 443,420,118,355,798 is 14808701460.
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FAQs on LCM of 443, 420, 118, 355, 798
1. What is the LCM of 443, 420, 118, 355, 798?
Answer: LCM of 443, 420, 118, 355, 798 is 14808701460.
2. How to calculate the LCM of 443, 420, 118, 355, 798?
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 443, 420, 118, 355, 798.
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}.