LCM of 814, 616, 870, 370, 257
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 814, 616, 870, 370, 257 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 814, 616, 870, 370, 257. So, keep reading to learn more.
Given numbers are 814,616,870,370,257
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 814,616,870,370,257 is 2548031640.
Find LCM of 814,616,870,370,257 with Prime Factorization
| 2 | 814, 616, 870, 370, 257 |
| 5 | 407, 308, 435, 185, 257 |
| 11 | 407, 308, 87, 37, 257 |
| 37 | 37, 28, 87, 37, 257 |
| 1, 28, 87, 1, 257 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 11 x 37 x 1 x 28 x 87 x 1 x 257 = 2548031640
Therefore, the lowest common multiple of 814,616,870,370,257 is 2548031640.
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.
814 x 616 x 870 x 370 x 257 = 41481955099200
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.
814 : 1, 2, 11, 22, 37, 74, 407, 814
616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
870 : 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
370 : 1, 2, 5, 10, 37, 74, 185, 370
257 : 1, 257
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 814,616,870,370,257, is 1.
Now, the common factors can be found like this.
814:2x 11x 37
616:2x 2x 2x 7x 11
870:2x 3x 5x 29
370:2x 5x 37
257:257
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 5x 11x 37 = 16280
Therefore, the value for common factors is 16280.
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 = 41481955099200/(1x16280)
LCM = 41481955099200/16280
LCM = 2548031640
Thus, we can understand that the LCM of 814,616,870,370,257 is 2548031640.
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FAQs on LCM of 814, 616, 870, 370, 257
1. What is the LCM of 814, 616, 870, 370, 257?
Answer: LCM of 814, 616, 870, 370, 257 is 2548031640.
2. How to calculate the LCM of 814, 616, 870, 370, 257?
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 814, 616, 870, 370, 257.
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}.