Find the LCM of 101, 130, 958, 676, 778 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 101, 130, 958, 676, 778. So, keep reading to learn more.
Given numbers are 101,130,958,676,778
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 101,130,958,676,778 is 63609676780.
Find LCM of 101,130,958,676,778 with Prime Factorization
2 | 101, 130, 958, 676, 778 |
13 | 101, 65, 479, 338, 389 |
101, 5, 479, 26, 389 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 101 x 5 x 479 x 26 x 389 = 63609676780
Therefore, the lowest common multiple of 101,130,958,676,778 is 63609676780.
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.
101 x 130 x 958 x 676 x 778 = 6615406385120
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.
101 : 1, 101
130 : 1, 2, 5, 10, 13, 26, 65, 130
958 : 1, 2, 479, 958
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
778 : 1, 2, 389, 778
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 101,130,958,676,778, is 1.
Now, the common factors can be found like this.
101:101
130:2x 5x 13
958:2x 479
676:2x 2x 13x 13
778:2x 389
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 13 = 104
Therefore, the value for common factors is 104.
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 = 6615406385120/(1x104)
LCM = 6615406385120/104
LCM = 63609676780
Thus, we can understand that the LCM of 101,130,958,676,778 is 63609676780.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 101, 130, 958, 676, 778?
Answer: LCM of 101, 130, 958, 676, 778 is 63609676780.
2. How to calculate the LCM of 101, 130, 958, 676, 778?
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 101, 130, 958, 676, 778.
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}.