LCM of 312, 430, 715, 533, 847
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 312, 430, 715, 533, 847 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 312, 430, 715, 533, 847. So, keep reading to learn more.
Given numbers are 312,430,715,533,847
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 312,430,715,533,847 is 2329487160.
Find LCM of 312,430,715,533,847 with Prime Factorization
| 2 | 312, 430, 715, 533, 847 |
| 5 | 156, 215, 715, 533, 847 |
| 11 | 156, 43, 143, 533, 847 |
| 13 | 156, 43, 13, 533, 77 |
| 12, 43, 1, 41, 77 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 11 x 13 x 12 x 43 x 1 x 41 x 77 = 2329487160
Therefore, the lowest common multiple of 312,430,715,533,847 is 2329487160.
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.
312 x 430 x 715 x 533 x 847 = 43305166304400
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.
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
430 : 1, 2, 5, 10, 43, 86, 215, 430
715 : 1, 5, 11, 13, 55, 65, 143, 715
533 : 1, 13, 41, 533
847 : 1, 7, 11, 77, 121, 847
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 312,430,715,533,847, is 1.
Now, the common factors can be found like this.
312:2x 2x 2x 3x 13
430:2x 5x 43
715:5x 11x 13
533:13x 41
847:7x 11x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 11x 13x 13 = 18590
Therefore, the value for common factors is 18590.
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 = 43305166304400/(1x18590)
LCM = 43305166304400/18590
LCM = 2329487160
Thus, we can understand that the LCM of 312,430,715,533,847 is 2329487160.
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FAQs on LCM of 312, 430, 715, 533, 847
1. What is the LCM of 312, 430, 715, 533, 847?
Answer: LCM of 312, 430, 715, 533, 847 is 2329487160.
2. How to calculate the LCM of 312, 430, 715, 533, 847?
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 312, 430, 715, 533, 847.
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}.