LCM of 442, 651, 662, 777, 144
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 442, 651, 662, 777, 144 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 442, 651, 662, 777, 144. So, keep reading to learn more.
Given numbers are 442,651,662,777,144
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 442,651,662,777,144 is 84575430576.
Find LCM of 442,651,662,777,144 with Prime Factorization
| 2 | 442, 651, 662, 777, 144 |
| 3 | 221, 651, 331, 777, 72 |
| 7 | 221, 217, 331, 259, 24 |
| 221, 31, 331, 37, 24 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 221 x 31 x 331 x 37 x 24 = 84575430576
Therefore, the lowest common multiple of 442,651,662,777,144 is 84575430576.
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.
442 x 651 x 662 x 777 x 144 = 21313008505152
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.
442 : 1, 2, 13, 17, 26, 34, 221, 442
651 : 1, 3, 7, 21, 31, 93, 217, 651
662 : 1, 2, 331, 662
777 : 1, 3, 7, 21, 37, 111, 259, 777
144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 442,651,662,777,144, is 1.
Now, the common factors can be found like this.
442:2x 13x 17
651:3x 7x 31
662:2x 331
777:3x 7x 37
144:2x 2x 2x 2x 3x 3
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 7 = 252
Therefore, the value for common factors is 252.
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 = 21313008505152/(1x252)
LCM = 21313008505152/252
LCM = 84575430576
Thus, we can understand that the LCM of 442,651,662,777,144 is 84575430576.
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FAQs on LCM of 442, 651, 662, 777, 144
1. What is the LCM of 442, 651, 662, 777, 144?
Answer: LCM of 442, 651, 662, 777, 144 is 84575430576.
2. How to calculate the LCM of 442, 651, 662, 777, 144?
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 442, 651, 662, 777, 144.
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}.