Find the LCM of 713, 343, 772, 562, 278 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 713, 343, 772, 562, 278. So, keep reading to learn more.
Given numbers are 713,343,772,562,278
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 713,343,772,562,278 is 7374321545332.
Find LCM of 713,343,772,562,278 with Prime Factorization
2 | 713, 343, 772, 562, 278 |
713, 343, 386, 281, 139 |
Multiply the prime numbers at the bottom and the left side.
2 x 713 x 343 x 386 x 281 x 139 = 7374321545332
Therefore, the lowest common multiple of 713,343,772,562,278 is 7374321545332.
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.
713 x 343 x 772 x 562 x 278 = 29497286181328
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.
713 : 1, 23, 31, 713
343 : 1, 7, 49, 343
772 : 1, 2, 4, 193, 386, 772
562 : 1, 2, 281, 562
278 : 1, 2, 139, 278
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 713,343,772,562,278, is 1.
Now, the common factors can be found like this.
713:23x 31
343:7x 7x 7
772:2x 2x 193
562:2x 281
278:2x 139
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2 = 4
Therefore, the value for common factors is 4.
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 = 29497286181328/(1x4)
LCM = 29497286181328/4
LCM = 7374321545332
Thus, we can understand that the LCM of 713,343,772,562,278 is 7374321545332.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 713, 343, 772, 562, 278?
Answer: LCM of 713, 343, 772, 562, 278 is 7374321545332.
2. How to calculate the LCM of 713, 343, 772, 562, 278?
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 713, 343, 772, 562, 278.
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}.