LCM of 305, 623, 534, 150, 681
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 305, 623, 534, 150, 681 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 305, 623, 534, 150, 681. So, keep reading to learn more.
Given numbers are 305,623,534,150,681
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 305,623,534,150,681 is 1294002150.
Find LCM of 305,623,534,150,681 with Prime Factorization
| 2 | 305, 623, 534, 150, 681 |
| 3 | 305, 623, 267, 75, 681 |
| 5 | 305, 623, 89, 25, 227 |
| 89 | 61, 623, 89, 5, 227 |
| 61, 7, 1, 5, 227 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 89 x 61 x 7 x 1 x 5 x 227 = 1294002150
Therefore, the lowest common multiple of 305,623,534,150,681 is 1294002150.
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.
305 x 623 x 534 x 150 x 681 = 10364957221500
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.
305 : 1, 5, 61, 305
623 : 1, 7, 89, 623
534 : 1, 2, 3, 6, 89, 178, 267, 534
150 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
681 : 1, 3, 227, 681
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 305,623,534,150,681, is 1.
Now, the common factors can be found like this.
305:5x 61
623:7x 89
534:2x 3x 89
150:2x 3x 5x 5
681:3x 227
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 5x 89 = 8010
Therefore, the value for common factors is 8010.
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 = 10364957221500/(1x8010)
LCM = 10364957221500/8010
LCM = 1294002150
Thus, we can understand that the LCM of 305,623,534,150,681 is 1294002150.
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FAQs on LCM of 305, 623, 534, 150, 681
1. What is the LCM of 305, 623, 534, 150, 681?
Answer: LCM of 305, 623, 534, 150, 681 is 1294002150.
2. How to calculate the LCM of 305, 623, 534, 150, 681?
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 305, 623, 534, 150, 681.
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}.