LCM of 282, 470, 865, 636, 723
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 282, 470, 865, 636, 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 282, 470, 865, 636, 723. So, keep reading to learn more.
Given numbers are 282,470,865,636,723
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 282,470,865,636,723 is 6231435780.
Find LCM of 282,470,865,636,723 with Prime Factorization
| 2 | 282, 470, 865, 636, 723 |
| 3 | 141, 235, 865, 318, 723 |
| 5 | 47, 235, 865, 106, 241 |
| 47 | 47, 47, 173, 106, 241 |
| 1, 1, 173, 106, 241 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 47 x 1 x 1 x 173 x 106 x 241 = 6231435780
Therefore, the lowest common multiple of 282,470,865,636,723 is 6231435780.
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.
282 x 470 x 865 x 636 x 723 = 52717946698800
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.
282 : 1, 2, 3, 6, 47, 94, 141, 282
470 : 1, 2, 5, 10, 47, 94, 235, 470
865 : 1, 5, 173, 865
636 : 1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636
723 : 1, 3, 241, 723
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 282,470,865,636,723, is 1.
Now, the common factors can be found like this.
282:2x 3x 47
470:2x 5x 47
865:5x 173
636:2x 2x 3x 53
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 3x 3x 5x 47 = 8460
Therefore, the value for common factors is 8460.
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 = 52717946698800/(1x8460)
LCM = 52717946698800/8460
LCM = 6231435780
Thus, we can understand that the LCM of 282,470,865,636,723 is 6231435780.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 282, 470, 865, 636, 723
1. What is the LCM of 282, 470, 865, 636, 723?
Answer: LCM of 282, 470, 865, 636, 723 is 6231435780.
2. How to calculate the LCM of 282, 470, 865, 636, 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 282, 470, 865, 636, 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}.