LCM of 621, 782, 180, 901, 354
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 621, 782, 180, 901, 354 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 621, 782, 180, 901, 354. So, keep reading to learn more.
Given numbers are 621,782,180,901,354
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 621,782,180,901,354 is 660234780.
Find LCM of 621,782,180,901,354 with Prime Factorization
| 2 | 621, 782, 180, 901, 354 |
| 3 | 621, 391, 90, 901, 177 |
| 3 | 207, 391, 30, 901, 59 |
| 17 | 69, 391, 10, 901, 59 |
| 23 | 69, 23, 10, 53, 59 |
| 3, 1, 10, 53, 59 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 17 x 23 x 3 x 1 x 10 x 53 x 59 = 660234780
Therefore, the lowest common multiple of 621,782,180,901,354 is 660234780.
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.
621 x 782 x 180 x 901 x 354 = 27880394289840
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.
621 : 1, 3, 9, 23, 27, 69, 207, 621
782 : 1, 2, 17, 23, 34, 46, 391, 782
180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
901 : 1, 17, 53, 901
354 : 1, 2, 3, 6, 59, 118, 177, 354
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 621,782,180,901,354, is 1.
Now, the common factors can be found like this.
621:3x 3x 3x 23
782:2x 17x 23
180:2x 2x 3x 3x 5
901:17x 53
354:2x 3x 59
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 3x 17x 23 = 42228
Therefore, the value for common factors is 42228.
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 = 27880394289840/(1x42228)
LCM = 27880394289840/42228
LCM = 660234780
Thus, we can understand that the LCM of 621,782,180,901,354 is 660234780.
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FAQs on LCM of 621, 782, 180, 901, 354
1. What is the LCM of 621, 782, 180, 901, 354?
Answer: LCM of 621, 782, 180, 901, 354 is 660234780.
2. How to calculate the LCM of 621, 782, 180, 901, 354?
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 621, 782, 180, 901, 354.
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}.