Find the LCM of 588, 693, 994, 495, 284 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 588, 693, 994, 495, 284. So, keep reading to learn more.
Given numbers are 588,693,994,495,284
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 588,693,994,495,284 is 6888420.
Find LCM of 588,693,994,495,284 with Prime Factorization
2 | 588, 693, 994, 495, 284 |
2 | 294, 693, 497, 495, 142 |
3 | 147, 693, 497, 495, 71 |
3 | 49, 231, 497, 165, 71 |
7 | 49, 77, 497, 55, 71 |
11 | 7, 11, 71, 55, 71 |
71 | 7, 1, 71, 5, 71 |
7, 1, 1, 5, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 7 x 11 x 71 x 7 x 1 x 1 x 5 x 1 = 6888420
Therefore, the lowest common multiple of 588,693,994,495,284 is 6888420.
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.
588 x 693 x 994 x 495 x 284 = 56940396115680
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.
588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
693 : 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
994 : 1, 2, 7, 14, 71, 142, 497, 994
495 : 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495
284 : 1, 2, 4, 71, 142, 284
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 588,693,994,495,284, is 1.
Now, the common factors can be found like this.
588:2x 2x 3x 7x 7
693:3x 3x 7x 11
994:2x 7x 71
495:3x 3x 5x 11
284:2x 2x 71
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 3x 3x 7x 7x 11x 71 = 8266104
Therefore, the value for common factors is 8266104.
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 = 56940396115680/(1x8266104)
LCM = 56940396115680/8266104
LCM = 6888420
Thus, we can understand that the LCM of 588,693,994,495,284 is 6888420.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 588, 693, 994, 495, 284?
Answer: LCM of 588, 693, 994, 495, 284 is 6888420.
2. How to calculate the LCM of 588, 693, 994, 495, 284?
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 588, 693, 994, 495, 284.
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}.