LCM of 934, 630, 556, 506, 830
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 934, 630, 556, 506, 830 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 934, 630, 556, 506, 830. So, keep reading to learn more.
Given numbers are 934,630,556,506,830
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 934,630,556,506,830 is 1717516189620.
Find LCM of 934,630,556,506,830 with Prime Factorization
| 2 | 934, 630, 556, 506, 830 |
| 5 | 467, 315, 278, 253, 415 |
| 467, 63, 278, 253, 83 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 467 x 63 x 278 x 253 x 83 = 1717516189620
Therefore, the lowest common multiple of 934,630,556,506,830 is 1717516189620.
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.
934 x 630 x 556 x 506 x 830 = 137401295169600
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.
934 : 1, 2, 467, 934
630 : 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630
556 : 1, 2, 4, 139, 278, 556
506 : 1, 2, 11, 22, 23, 46, 253, 506
830 : 1, 2, 5, 10, 83, 166, 415, 830
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 934,630,556,506,830, is 2.
Now, the common factors can be found like this.
934:2x 467
630:2x 3x 3x 5x 7
556:2x 2x 139
506:2x 11x 23
830:2x 5x 83
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 5 = 40
Therefore, the value for common factors is 40.
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 = 137401295169600/(2x40)
LCM = 137401295169600/80
LCM = 1717516189620
Thus, we can understand that the LCM of 934,630,556,506,830 is 1717516189620.
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FAQs on LCM of 934, 630, 556, 506, 830
1. What is the LCM of 934, 630, 556, 506, 830?
Answer: LCM of 934, 630, 556, 506, 830 is 1717516189620.
2. How to calculate the LCM of 934, 630, 556, 506, 830?
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 934, 630, 556, 506, 830.
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}.