LCM of 534, 678, 772, 660, 490
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 534, 678, 772, 660, 490 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 534, 678, 772, 660, 490. So, keep reading to learn more.
Given numbers are 534,678,772,660,490
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 534,678,772,660,490 is 62771972340.
Find LCM of 534,678,772,660,490 with Prime Factorization
| 2 | 534, 678, 772, 660, 490 |
| 2 | 267, 339, 386, 330, 245 |
| 3 | 267, 339, 193, 165, 245 |
| 5 | 89, 113, 193, 55, 245 |
| 89, 113, 193, 11, 49 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 89 x 113 x 193 x 11 x 49 = 62771972340
Therefore, the lowest common multiple of 534,678,772,660,490 is 62771972340.
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.
534 x 678 x 772 x 660 x 490 = 90391640169600
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.
534 : 1, 2, 3, 6, 89, 178, 267, 534
678 : 1, 2, 3, 6, 113, 226, 339, 678
772 : 1, 2, 4, 193, 386, 772
660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 534,678,772,660,490, is 2.
Now, the common factors can be found like this.
534:2x 3x 89
678:2x 3x 113
772:2x 2x 193
660:2x 2x 3x 5x 11
490:2x 5x 7x 7
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 5 = 720
Therefore, the value for common factors is 720.
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 = 90391640169600/(2x720)
LCM = 90391640169600/1440
LCM = 62771972340
Thus, we can understand that the LCM of 534,678,772,660,490 is 62771972340.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 534, 678, 772, 660, 490
1. What is the LCM of 534, 678, 772, 660, 490?
Answer: LCM of 534, 678, 772, 660, 490 is 62771972340.
2. How to calculate the LCM of 534, 678, 772, 660, 490?
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 534, 678, 772, 660, 490.
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}.