LCM of 565, 714, 658, 867, 430
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 565, 714, 658, 867, 430 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 565, 714, 658, 867, 430. So, keep reading to learn more.
Given numbers are 565,714,658,867,430
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 565,714,658,867,430 is 13859957370.
Find LCM of 565,714,658,867,430 with Prime Factorization
| 2 | 565, 714, 658, 867, 430 |
| 3 | 565, 357, 329, 867, 215 |
| 5 | 565, 119, 329, 289, 215 |
| 7 | 113, 119, 329, 289, 43 |
| 17 | 113, 17, 47, 289, 43 |
| 113, 1, 47, 17, 43 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 17 x 113 x 1 x 47 x 17 x 43 = 13859957370
Therefore, the lowest common multiple of 565,714,658,867,430 is 13859957370.
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.
565 x 714 x 658 x 867 x 430 = 98960095621800
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.
565 : 1, 5, 113, 565
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
658 : 1, 2, 7, 14, 47, 94, 329, 658
867 : 1, 3, 17, 51, 289, 867
430 : 1, 2, 5, 10, 43, 86, 215, 430
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 565,714,658,867,430, is 1.
Now, the common factors can be found like this.
565:5x 113
714:2x 3x 7x 17
658:2x 7x 47
867:3x 17x 17
430:2x 5x 43
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 5x 7x 17 = 7140
Therefore, the value for common factors is 7140.
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 = 98960095621800/(1x7140)
LCM = 98960095621800/7140
LCM = 13859957370
Thus, we can understand that the LCM of 565,714,658,867,430 is 13859957370.
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FAQs on LCM of 565, 714, 658, 867, 430
1. What is the LCM of 565, 714, 658, 867, 430?
Answer: LCM of 565, 714, 658, 867, 430 is 13859957370.
2. How to calculate the LCM of 565, 714, 658, 867, 430?
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 565, 714, 658, 867, 430.
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}.