LCM of 653, 948, 782, 390
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 653, 948, 782, 390 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 653, 948, 782, 390. So, keep reading to learn more.
Given numbers are 653,948,782,390
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 653,948,782,390 is 15733003260.
Find LCM of 653,948,782,390 with Prime Factorization
| 2 | 653, 948, 782, 390 |
| 3 | 653, 474, 391, 195 |
| 653, 158, 391, 65 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 653 x 158 x 391 x 65 = 15733003260
Therefore, the lowest common multiple of 653,948,782,390 is 15733003260.
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.
653 x 948 x 782 x 390 = 188796039120
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.
653 : 1, 653
948 : 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
782 : 1, 2, 17, 23, 34, 46, 391, 782
390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 653,948,782,390, is 1.
Now, the common factors can be found like this.
653:653
948:2x 2x 3x 79
782:2x 17x 23
390:2x 3x 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 3 = 12
Therefore, the value for common factors is 12.
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 = 188796039120/(1x12)
LCM = 188796039120/12
LCM = 15733003260
Thus, we can understand that the LCM of 653,948,782,390 is 15733003260.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 653, 948, 782, 390
1. What is the LCM of 653, 948, 782, 390?
Answer: LCM of 653, 948, 782, 390 is 15733003260.
2. How to calculate the LCM of 653, 948, 782, 390?
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 653, 948, 782, 390.
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}.