LCM of 357, 262, 508, 338, 784
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 357, 262, 508, 338, 784 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 357, 262, 508, 338, 784. So, keep reading to learn more.
Given numbers are 357,262,508,338,784
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 357,262,508,338,784 is 112421133552.
Find LCM of 357,262,508,338,784 with Prime Factorization
| 2 | 357, 262, 508, 338, 784 |
| 2 | 357, 131, 254, 169, 392 |
| 7 | 357, 131, 127, 169, 196 |
| 51, 131, 127, 169, 28 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 51 x 131 x 127 x 169 x 28 = 112421133552
Therefore, the lowest common multiple of 357,262,508,338,784 is 112421133552.
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.
357 x 262 x 508 x 338 x 784 = 12591166957824
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.
357 : 1, 3, 7, 17, 21, 51, 119, 357
262 : 1, 2, 131, 262
508 : 1, 2, 4, 127, 254, 508
338 : 1, 2, 13, 26, 169, 338
784 : 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 357,262,508,338,784, is 1.
Now, the common factors can be found like this.
357:3x 7x 17
262:2x 131
508:2x 2x 127
338:2x 13x 13
784:2x 2x 2x 2x 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 7 = 112
Therefore, the value for common factors is 112.
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 = 12591166957824/(1x112)
LCM = 12591166957824/112
LCM = 112421133552
Thus, we can understand that the LCM of 357,262,508,338,784 is 112421133552.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 357, 262, 508, 338, 784
1. What is the LCM of 357, 262, 508, 338, 784?
Answer: LCM of 357, 262, 508, 338, 784 is 112421133552.
2. How to calculate the LCM of 357, 262, 508, 338, 784?
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 357, 262, 508, 338, 784.
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}.