LCM of 220, 506, 612, 723
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 220, 506, 612, 723 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 220, 506, 612, 723. So, keep reading to learn more.
Given numbers are 220,506,612,723
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 220,506,612,723 is 186577380.
Find LCM of 220,506,612,723 with Prime Factorization
| 2 | 220, 506, 612, 723 |
| 2 | 110, 253, 306, 723 |
| 3 | 55, 253, 153, 723 |
| 11 | 55, 253, 51, 241 |
| 5, 23, 51, 241 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 5 x 23 x 51 x 241 = 186577380
Therefore, the lowest common multiple of 220,506,612,723 is 186577380.
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.
220 x 506 x 612 x 723 = 49256428320
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.
220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
506 : 1, 2, 11, 22, 23, 46, 253, 506
612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
723 : 1, 3, 241, 723
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 220,506,612,723, is 1.
Now, the common factors can be found like this.
220:2x 2x 5x 11
506:2x 11x 23
612:2x 2x 3x 3x 17
723:3x 241
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 3x 11 = 264
Therefore, the value for common factors is 264.
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 = 49256428320/(1x264)
LCM = 49256428320/264
LCM = 186577380
Thus, we can understand that the LCM of 220,506,612,723 is 186577380.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 220, 506, 612, 723
1. What is the LCM of 220, 506, 612, 723?
Answer: LCM of 220, 506, 612, 723 is 186577380.
2. How to calculate the LCM of 220, 506, 612, 723?
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 220, 506, 612, 723.
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}.