LCM of 336, 508, 824, 686
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 336, 508, 824, 686 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 336, 508, 824, 686. So, keep reading to learn more.
Given numbers are 336,508,824,686
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 336,508,824,686 is 215365584.
Find LCM of 336,508,824,686 with Prime Factorization
| 2 | 336, 508, 824, 686 |
| 2 | 168, 254, 412, 343 |
| 2 | 84, 127, 206, 343 |
| 7 | 42, 127, 103, 343 |
| 6, 127, 103, 49 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 7 x 6 x 127 x 103 x 49 = 215365584
Therefore, the lowest common multiple of 336,508,824,686 is 215365584.
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.
336 x 508 x 824 x 686 = 96483781632
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.
336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
508 : 1, 2, 4, 127, 254, 508
824 : 1, 2, 4, 8, 103, 206, 412, 824
686 : 1, 2, 7, 14, 49, 98, 343, 686
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 336,508,824,686, is 2.
Now, the common factors can be found like this.
336:2x 2x 2x 2x 3x 7
508:2x 2x 127
824:2x 2x 2x 103
686:2x 7x 7x 7
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 2x 2x 7 = 224
Therefore, the value for common factors is 224.
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 = 96483781632/(2x224)
LCM = 96483781632/448
LCM = 215365584
Thus, we can understand that the LCM of 336,508,824,686 is 215365584.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 336, 508, 824, 686
1. What is the LCM of 336, 508, 824, 686?
Answer: LCM of 336, 508, 824, 686 is 215365584.
2. How to calculate the LCM of 336, 508, 824, 686?
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 336, 508, 824, 686.
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}.