Find the LCM of 660, 618, 762, 130 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 660, 618, 762, 130. So, keep reading to learn more.
Given numbers are 660,618,762,130
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 660,618,762,130 is 112234980.
Find LCM of 660,618,762,130 with Prime Factorization
2 | 660, 618, 762, 130 |
3 | 330, 309, 381, 65 |
5 | 110, 103, 127, 65 |
22, 103, 127, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 22 x 103 x 127 x 13 = 112234980
Therefore, the lowest common multiple of 660,618,762,130 is 112234980.
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.
660 x 618 x 762 x 130 = 40404592800
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.
660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
618 : 1, 2, 3, 6, 103, 206, 309, 618
762 : 1, 2, 3, 6, 127, 254, 381, 762
130 : 1, 2, 5, 10, 13, 26, 65, 130
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 660,618,762,130, is 2.
Now, the common factors can be found like this.
660:2x 2x 3x 5x 11
618:2x 3x 103
762:2x 3x 127
130:2x 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 3x 3x 5 = 180
Therefore, the value for common factors is 180.
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 = 40404592800/(2x180)
LCM = 40404592800/360
LCM = 112234980
Thus, we can understand that the LCM of 660,618,762,130 is 112234980.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 660, 618, 762, 130?
Answer: LCM of 660, 618, 762, 130 is 112234980.
2. How to calculate the LCM of 660, 618, 762, 130?
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 660, 618, 762, 130.
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}.