LCM of 510, 301, 445, 766, 138
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 510, 301, 445, 766, 138 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 510, 301, 445, 766, 138. So, keep reading to learn more.
Given numbers are 510,301,445,766,138
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 510,301,445,766,138 is 120351993510.
Find LCM of 510,301,445,766,138 with Prime Factorization
| 2 | 510, 301, 445, 766, 138 |
| 3 | 255, 301, 445, 383, 69 |
| 5 | 85, 301, 445, 383, 23 |
| 17, 301, 89, 383, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 17 x 301 x 89 x 383 x 23 = 120351993510
Therefore, the lowest common multiple of 510,301,445,766,138 is 120351993510.
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.
510 x 301 x 445 x 766 x 138 = 7221119610600
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.
510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
301 : 1, 7, 43, 301
445 : 1, 5, 89, 445
766 : 1, 2, 383, 766
138 : 1, 2, 3, 6, 23, 46, 69, 138
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 510,301,445,766,138, is 1.
Now, the common factors can be found like this.
510:2x 3x 5x 17
301:7x 43
445:5x 89
766:2x 383
138:2x 3x 23
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 5 = 60
Therefore, the value for common factors is 60.
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 = 7221119610600/(1x60)
LCM = 7221119610600/60
LCM = 120351993510
Thus, we can understand that the LCM of 510,301,445,766,138 is 120351993510.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 510, 301, 445, 766, 138
1. What is the LCM of 510, 301, 445, 766, 138?
Answer: LCM of 510, 301, 445, 766, 138 is 120351993510.
2. How to calculate the LCM of 510, 301, 445, 766, 138?
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 510, 301, 445, 766, 138.
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}.