Find the LCM of 356, 694, 130, 116, 650 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 356, 694, 130, 116, 650. So, keep reading to learn more.
Given numbers are 356,694,130,116,650
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 356,694,130,116,650 is 1164289100.
Find LCM of 356,694,130,116,650 with Prime Factorization
2 | 356, 694, 130, 116, 650 |
2 | 178, 347, 65, 58, 325 |
5 | 89, 347, 65, 29, 325 |
13 | 89, 347, 13, 29, 65 |
89, 347, 1, 29, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 13 x 89 x 347 x 1 x 29 x 5 = 1164289100
Therefore, the lowest common multiple of 356,694,130,116,650 is 1164289100.
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.
356 x 694 x 130 x 116 x 650 = 2421721328000
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.
356 : 1, 2, 4, 89, 178, 356
694 : 1, 2, 347, 694
130 : 1, 2, 5, 10, 13, 26, 65, 130
116 : 1, 2, 4, 29, 58, 116
650 : 1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 356,694,130,116,650, is 2.
Now, the common factors can be found like this.
356:2x 2x 89
694:2x 347
130:2x 5x 13
116:2x 2x 29
650:2x 5x 5x 13
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 5x 13 = 1040
Therefore, the value for common factors is 1040.
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 = 2421721328000/(2x1040)
LCM = 2421721328000/2080
LCM = 1164289100
Thus, we can understand that the LCM of 356,694,130,116,650 is 1164289100.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 356, 694, 130, 116, 650?
Answer: LCM of 356, 694, 130, 116, 650 is 1164289100.
2. How to calculate the LCM of 356, 694, 130, 116, 650?
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 356, 694, 130, 116, 650.
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}.