LCM of 534, 812, 712, 642, 290
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 534, 812, 712, 642, 290 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, 812, 712, 642, 290. So, keep reading to learn more.
Given numbers are 534,812,712,642,290
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 534,812,712,642,290 is 231980280.
Find LCM of 534,812,712,642,290 with Prime Factorization
| 2 | 534, 812, 712, 642, 290 |
| 2 | 267, 406, 356, 321, 145 |
| 3 | 267, 203, 178, 321, 145 |
| 29 | 89, 203, 178, 107, 145 |
| 89 | 89, 7, 178, 107, 5 |
| 1, 7, 2, 107, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 29 x 89 x 1 x 7 x 2 x 107 x 5 = 231980280
Therefore, the lowest common multiple of 534,812,712,642,290 is 231980280.
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 812 x 712 x 642 x 290 = 57479145857280
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
812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
712 : 1, 2, 4, 8, 89, 178, 356, 712
642 : 1, 2, 3, 6, 107, 214, 321, 642
290 : 1, 2, 5, 10, 29, 58, 145, 290
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 534,812,712,642,290, is 2.
Now, the common factors can be found like this.
534:2x 3x 89
812:2x 2x 7x 29
712:2x 2x 2x 89
642:2x 3x 107
290:2x 5x 29
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 29x 89 = 123888
Therefore, the value for common factors is 123888.
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 = 57479145857280/(2x123888)
LCM = 57479145857280/247776
LCM = 231980280
Thus, we can understand that the LCM of 534,812,712,642,290 is 231980280.
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FAQs on LCM of 534, 812, 712, 642, 290
1. What is the LCM of 534, 812, 712, 642, 290?
Answer: LCM of 534, 812, 712, 642, 290 is 231980280.
2. How to calculate the LCM of 534, 812, 712, 642, 290?
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, 812, 712, 642, 290.
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}.