LCM of 361, 612, 510, 361, 820
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 361, 612, 510, 361, 820 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 361, 612, 510, 361, 820. So, keep reading to learn more.
Given numbers are 361,612,510,361,820
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 361,612,510,361,820 is 45291060.
Find LCM of 361,612,510,361,820 with Prime Factorization
| 2 | 361, 612, 510, 361, 820 |
| 2 | 361, 306, 255, 361, 410 |
| 3 | 361, 153, 255, 361, 205 |
| 5 | 361, 51, 85, 361, 205 |
| 17 | 361, 51, 17, 361, 41 |
| 19 | 361, 3, 1, 361, 41 |
| 19 | 19, 3, 1, 19, 41 |
| 1, 3, 1, 1, 41 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 17 x 19 x 19 x 1 x 3 x 1 x 1 x 41 = 45291060
Therefore, the lowest common multiple of 361,612,510,361,820 is 45291060.
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.
361 x 612 x 510 x 361 x 820 = 33354148226400
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.
361 : 1, 19, 361
612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
361 : 1, 19, 361
820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 361,612,510,361,820, is 1.
Now, the common factors can be found like this.
361:19x 19
612:2x 2x 3x 3x 17
510:2x 3x 5x 17
361:19x 19
820:2x 2x 5x 41
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 2x 3x 5x 17x 19x 19 = 736440
Therefore, the value for common factors is 736440.
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 = 33354148226400/(1x736440)
LCM = 33354148226400/736440
LCM = 45291060
Thus, we can understand that the LCM of 361,612,510,361,820 is 45291060.
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FAQs on LCM of 361, 612, 510, 361, 820
1. What is the LCM of 361, 612, 510, 361, 820?
Answer: LCM of 361, 612, 510, 361, 820 is 45291060.
2. How to calculate the LCM of 361, 612, 510, 361, 820?
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 361, 612, 510, 361, 820.
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}.