LCM of 642, 148, 516, 774, 534
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 642, 148, 516, 774, 534 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, 148, 516, 774, 534. So, keep reading to learn more.
Given numbers are 642,148,516,774,534
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 642,148,516,774,534 is 545439348.
Find LCM of 642,148,516,774,534 with Prime Factorization
| 2 | 642, 148, 516, 774, 534 |
| 2 | 321, 74, 258, 387, 267 |
| 3 | 321, 37, 129, 387, 267 |
| 43 | 107, 37, 43, 129, 89 |
| 107, 37, 1, 3, 89 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 43 x 107 x 37 x 1 x 3 x 89 = 545439348
Therefore, the lowest common multiple of 642,148,516,774,534 is 545439348.
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 148 x 516 x 774 x 534 = 20264162656896
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
148 : 1, 2, 4, 37, 74, 148
516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516
774 : 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774
534 : 1, 2, 3, 6, 89, 178, 267, 534
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 642,148,516,774,534, is 2.
Now, the common factors can be found like this.
642:2x 3x 107
148:2x 2x 37
516:2x 2x 3x 43
774:2x 3x 3x 43
534:2x 3x 89
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 43 = 18576
Therefore, the value for common factors is 18576.
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 = 20264162656896/(2x18576)
LCM = 20264162656896/37152
LCM = 545439348
Thus, we can understand that the LCM of 642,148,516,774,534 is 545439348.
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FAQs on LCM of 642, 148, 516, 774, 534
1. What is the LCM of 642, 148, 516, 774, 534?
Answer: LCM of 642, 148, 516, 774, 534 is 545439348.
2. How to calculate the LCM of 642, 148, 516, 774, 534?
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, 148, 516, 774, 534.
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}.