LCM of 463, 611, 329, 830, 299
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 463, 611, 329, 830, 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 463, 611, 329, 830, 299. So, keep reading to learn more.
Given numbers are 463,611,329,830,299
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 463,611,329,830,299 is 37802991590.
Find LCM of 463,611,329,830,299 with Prime Factorization
| 13 | 463, 611, 329, 830, 299 |
| 47 | 463, 47, 329, 830, 23 |
| 463, 1, 7, 830, 23 |
Multiply the prime numbers at the bottom and the left side.
13 x 47 x 463 x 1 x 7 x 830 x 23 = 37802991590
Therefore, the lowest common multiple of 463,611,329,830,299 is 37802991590.
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.
463 x 611 x 329 x 830 x 299 = 23097627861490
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.
463 : 1, 463
611 : 1, 13, 47, 611
329 : 1, 7, 47, 329
830 : 1, 2, 5, 10, 83, 166, 415, 830
299 : 1, 13, 23, 299
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 463,611,329,830,299, is 1.
Now, the common factors can be found like this.
463:463
611:13x 47
329:7x 47
830:2x 5x 83
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.
13x 47 = 611
Therefore, the value for common factors is 611.
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 = 23097627861490/(1x611)
LCM = 23097627861490/611
LCM = 37802991590
Thus, we can understand that the LCM of 463,611,329,830,299 is 37802991590.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 463, 611, 329, 830, 299
1. What is the LCM of 463, 611, 329, 830, 299?
Answer: LCM of 463, 611, 329, 830, 299 is 37802991590.
2. How to calculate the LCM of 463, 611, 329, 830, 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 463, 611, 329, 830, 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}.