LCM of 282, 653, 364, 860, 430
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 282, 653, 364, 860, 430 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, 653, 364, 860, 430. So, keep reading to learn more.
Given numbers are 282,653,364,860,430
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 282,653,364,860,430 is 7205632980.
Find LCM of 282,653,364,860,430 with Prime Factorization
| 2 | 282, 653, 364, 860, 430 |
| 2 | 141, 653, 182, 430, 215 |
| 5 | 141, 653, 91, 215, 215 |
| 43 | 141, 653, 91, 43, 43 |
| 141, 653, 91, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 43 x 141 x 653 x 91 x 1 x 1 = 7205632980
Therefore, the lowest common multiple of 282,653,364,860,430 is 7205632980.
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 653 x 364 x 860 x 430 = 24787377451200
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
653 : 1, 653
364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
860 : 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860
430 : 1, 2, 5, 10, 43, 86, 215, 430
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 282,653,364,860,430, is 1.
Now, the common factors can be found like this.
282:2x 3x 47
653:653
364:2x 2x 7x 13
860:2x 2x 5x 43
430:2x 5x 43
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 2x 5x 43 = 3440
Therefore, the value for common factors is 3440.
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 = 24787377451200/(1x3440)
LCM = 24787377451200/3440
LCM = 7205632980
Thus, we can understand that the LCM of 282,653,364,860,430 is 7205632980.
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FAQs on LCM of 282, 653, 364, 860, 430
1. What is the LCM of 282, 653, 364, 860, 430?
Answer: LCM of 282, 653, 364, 860, 430 is 7205632980.
2. How to calculate the LCM of 282, 653, 364, 860, 430?
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, 653, 364, 860, 430.
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}.