Find the LCM of 413, 130, 868, 686, 753 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 413, 130, 868, 686, 753. So, keep reading to learn more.
Given numbers are 413,130,868,686,753
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 413,130,868,686,753 is 122821995660.
Find LCM of 413,130,868,686,753 with Prime Factorization
2 | 413, 130, 868, 686, 753 |
7 | 413, 65, 434, 343, 753 |
59, 65, 62, 49, 753 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 59 x 65 x 62 x 49 x 753 = 122821995660
Therefore, the lowest common multiple of 413,130,868,686,753 is 122821995660.
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.
413 x 130 x 868 x 686 x 753 = 24073111149360
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.
413 : 1, 7, 59, 413
130 : 1, 2, 5, 10, 13, 26, 65, 130
868 : 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868
686 : 1, 2, 7, 14, 49, 98, 343, 686
753 : 1, 3, 251, 753
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 413,130,868,686,753, is 1.
Now, the common factors can be found like this.
413:7x 59
130:2x 5x 13
868:2x 2x 7x 31
686:2x 7x 7x 7
753:3x 251
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 7x 7 = 196
Therefore, the value for common factors is 196.
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 = 24073111149360/(1x196)
LCM = 24073111149360/196
LCM = 122821995660
Thus, we can understand that the LCM of 413,130,868,686,753 is 122821995660.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 413, 130, 868, 686, 753?
Answer: LCM of 413, 130, 868, 686, 753 is 122821995660.
2. How to calculate the LCM of 413, 130, 868, 686, 753?
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 413, 130, 868, 686, 753.
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}.