LCM of 682, 142, 588, 100, 442
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 682, 142, 588, 100, 442 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 682, 142, 588, 100, 442. So, keep reading to learn more.
Given numbers are 682,142,588,100,442
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 682,142,588,100,442 is 78654275700.
Find LCM of 682,142,588,100,442 with Prime Factorization
| 2 | 682, 142, 588, 100, 442 |
| 2 | 341, 71, 294, 50, 221 |
| 341, 71, 147, 25, 221 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 341 x 71 x 147 x 25 x 221 = 78654275700
Therefore, the lowest common multiple of 682,142,588,100,442 is 78654275700.
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.
682 x 142 x 588 x 100 x 442 = 2516936822400
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.
682 : 1, 2, 11, 22, 31, 62, 341, 682
142 : 1, 2, 71, 142
588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
100 : 1, 2, 4, 5, 10, 20, 25, 50, 100
442 : 1, 2, 13, 17, 26, 34, 221, 442
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 682,142,588,100,442, is 2.
Now, the common factors can be found like this.
682:2x 11x 31
142:2x 71
588:2x 2x 3x 7x 7
100:2x 2x 5x 5
442:2x 13x 17
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 2 = 16
Therefore, the value for common factors is 16.
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 = 2516936822400/(2x16)
LCM = 2516936822400/32
LCM = 78654275700
Thus, we can understand that the LCM of 682,142,588,100,442 is 78654275700.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 682, 142, 588, 100, 442
1. What is the LCM of 682, 142, 588, 100, 442?
Answer: LCM of 682, 142, 588, 100, 442 is 78654275700.
2. How to calculate the LCM of 682, 142, 588, 100, 442?
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 682, 142, 588, 100, 442.
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}.