LCM of 345, 690, 534, 812, 795
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 345, 690, 534, 812, 795 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 345, 690, 534, 812, 795. So, keep reading to learn more.
Given numbers are 345,690,534,812,795
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 345,690,534,812,795 is 1321420380.
Find LCM of 345,690,534,812,795 with Prime Factorization
| 2 | 345, 690, 534, 812, 795 |
| 3 | 345, 345, 267, 406, 795 |
| 5 | 115, 115, 89, 406, 265 |
| 23 | 23, 23, 89, 406, 53 |
| 1, 1, 89, 406, 53 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 23 x 1 x 1 x 89 x 406 x 53 = 1321420380
Therefore, the lowest common multiple of 345,690,534,812,795 is 1321420380.
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.
345 x 690 x 534 x 812 x 795 = 82060205598000
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.
345 : 1, 3, 5, 15, 23, 69, 115, 345
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
534 : 1, 2, 3, 6, 89, 178, 267, 534
812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
795 : 1, 3, 5, 15, 53, 159, 265, 795
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 345,690,534,812,795, is 1.
Now, the common factors can be found like this.
345:3x 5x 23
690:2x 3x 5x 23
534:2x 3x 89
812:2x 2x 7x 29
795:3x 5x 53
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 3x 3x 5x 5x 23 = 62100
Therefore, the value for common factors is 62100.
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 = 82060205598000/(1x62100)
LCM = 82060205598000/62100
LCM = 1321420380
Thus, we can understand that the LCM of 345,690,534,812,795 is 1321420380.
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FAQs on LCM of 345, 690, 534, 812, 795
1. What is the LCM of 345, 690, 534, 812, 795?
Answer: LCM of 345, 690, 534, 812, 795 is 1321420380.
2. How to calculate the LCM of 345, 690, 534, 812, 795?
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 345, 690, 534, 812, 795.
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}.