LCM of 319, 379, 122, 748, 493
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 319, 379, 122, 748, 493 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 319, 379, 122, 748, 493. So, keep reading to learn more.
Given numbers are 319,379,122,748,493
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 319,379,122,748,493 is 501497348.
Find LCM of 319,379,122,748,493 with Prime Factorization
| 2 | 319, 379, 122, 748, 493 |
| 11 | 319, 379, 61, 374, 493 |
| 17 | 29, 379, 61, 34, 493 |
| 29 | 29, 379, 61, 2, 29 |
| 1, 379, 61, 2, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 17 x 29 x 1 x 379 x 61 x 2 x 1 = 501497348
Therefore, the lowest common multiple of 319,379,122,748,493 is 501497348.
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.
319 x 379 x 122 x 748 x 493 = 5439240236408
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.
319 : 1, 11, 29, 319
379 : 1, 379
122 : 1, 2, 61, 122
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
493 : 1, 17, 29, 493
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 319,379,122,748,493, is 1.
Now, the common factors can be found like this.
319:11x 29
379:379
122:2x 61
748:2x 2x 11x 17
493:17x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 11x 17x 29 = 10846
Therefore, the value for common factors is 10846.
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 = 5439240236408/(1x10846)
LCM = 5439240236408/10846
LCM = 501497348
Thus, we can understand that the LCM of 319,379,122,748,493 is 501497348.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 319, 379, 122, 748, 493
1. What is the LCM of 319, 379, 122, 748, 493?
Answer: LCM of 319, 379, 122, 748, 493 is 501497348.
2. How to calculate the LCM of 319, 379, 122, 748, 493?
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 319, 379, 122, 748, 493.
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}.