LCM of 508, 838, 430, 340
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 508, 838, 430, 340 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 508, 838, 430, 340. So, keep reading to learn more.
Given numbers are 508,838,430,340
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 508,838,430,340 is 777974060.
Find LCM of 508,838,430,340 with Prime Factorization
| 2 | 508, 838, 430, 340 |
| 2 | 254, 419, 215, 170 |
| 5 | 127, 419, 215, 85 |
| 127, 419, 43, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 127 x 419 x 43 x 17 = 777974060
Therefore, the lowest common multiple of 508,838,430,340 is 777974060.
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.
508 x 838 x 430 x 340 = 62237924800
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.
508 : 1, 2, 4, 127, 254, 508
838 : 1, 2, 419, 838
430 : 1, 2, 5, 10, 43, 86, 215, 430
340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 508,838,430,340, is 2.
Now, the common factors can be found like this.
508:2x 2x 127
838:2x 419
430:2x 5x 43
340:2x 2x 5x 17
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 = 62237924800/(2x40)
LCM = 62237924800/80
LCM = 777974060
Thus, we can understand that the LCM of 508,838,430,340 is 777974060.
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FAQs on LCM of 508, 838, 430, 340
1. What is the LCM of 508, 838, 430, 340?
Answer: LCM of 508, 838, 430, 340 is 777974060.
2. How to calculate the LCM of 508, 838, 430, 340?
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 508, 838, 430, 340.
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}.