LCM of 642, 144, 423, 188, 694
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 642, 144, 423, 188, 694 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 642, 144, 423, 188, 694. So, keep reading to learn more.
Given numbers are 642,144,423,188,694
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 642,144,423,188,694 is 251289072.
Find LCM of 642,144,423,188,694 with Prime Factorization
| 2 | 642, 144, 423, 188, 694 |
| 2 | 321, 72, 423, 94, 347 |
| 3 | 321, 36, 423, 47, 347 |
| 3 | 107, 12, 141, 47, 347 |
| 47 | 107, 4, 47, 47, 347 |
| 107, 4, 1, 1, 347 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 47 x 107 x 4 x 1 x 1 x 347 = 251289072
Therefore, the lowest common multiple of 642,144,423,188,694 is 251289072.
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.
642 x 144 x 423 x 188 x 694 = 5102173317888
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.
642 : 1, 2, 3, 6, 107, 214, 321, 642
144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
423 : 1, 3, 9, 47, 141, 423
188 : 1, 2, 4, 47, 94, 188
694 : 1, 2, 347, 694
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 642,144,423,188,694, is 1.
Now, the common factors can be found like this.
642:2x 3x 107
144:2x 2x 2x 2x 3x 3
423:3x 3x 47
188:2x 2x 47
694:2x 347
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 3x 3x 3x 47 = 20304
Therefore, the value for common factors is 20304.
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 = 5102173317888/(1x20304)
LCM = 5102173317888/20304
LCM = 251289072
Thus, we can understand that the LCM of 642,144,423,188,694 is 251289072.
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FAQs on LCM of 642, 144, 423, 188, 694
1. What is the LCM of 642, 144, 423, 188, 694?
Answer: LCM of 642, 144, 423, 188, 694 is 251289072.
2. How to calculate the LCM of 642, 144, 423, 188, 694?
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 642, 144, 423, 188, 694.
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}.