LCM of 530, 134, 106, 220, 670
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 530, 134, 106, 220, 670 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 530, 134, 106, 220, 670. So, keep reading to learn more.
Given numbers are 530,134,106,220,670
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 530,134,106,220,670 is 781220.
Find LCM of 530,134,106,220,670 with Prime Factorization
| 2 | 530, 134, 106, 220, 670 |
| 5 | 265, 67, 53, 110, 335 |
| 53 | 53, 67, 53, 22, 67 |
| 67 | 1, 67, 1, 22, 67 |
| 1, 1, 1, 22, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 53 x 67 x 1 x 1 x 1 x 22 x 1 = 781220
Therefore, the lowest common multiple of 530,134,106,220,670 is 781220.
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.
530 x 134 x 106 x 220 x 670 = 1109644888000
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.
530 : 1, 2, 5, 10, 53, 106, 265, 530
134 : 1, 2, 67, 134
106 : 1, 2, 53, 106
220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
670 : 1, 2, 5, 10, 67, 134, 335, 670
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 530,134,106,220,670, is 2.
Now, the common factors can be found like this.
530:2x 5x 53
134:2x 67
106:2x 53
220:2x 2x 5x 11
670:2x 5x 67
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 5x 5x 53x 67 = 710200
Therefore, the value for common factors is 710200.
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 = 1109644888000/(2x710200)
LCM = 1109644888000/1420400
LCM = 781220
Thus, we can understand that the LCM of 530,134,106,220,670 is 781220.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 530, 134, 106, 220, 670
1. What is the LCM of 530, 134, 106, 220, 670?
Answer: LCM of 530, 134, 106, 220, 670 is 781220.
2. How to calculate the LCM of 530, 134, 106, 220, 670?
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 530, 134, 106, 220, 670.
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}.