LCM of 469, 619, 670, 506, 310
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 469, 619, 670, 506, 310 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 469, 619, 670, 506, 310. So, keep reading to learn more.
Given numbers are 469,619,670,506,310
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 469,619,670,506,310 is 22769091730.
Find LCM of 469,619,670,506,310 with Prime Factorization
| 2 | 469, 619, 670, 506, 310 |
| 5 | 469, 619, 335, 253, 155 |
| 67 | 469, 619, 67, 253, 31 |
| 7, 619, 1, 253, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 67 x 7 x 619 x 1 x 253 x 31 = 22769091730
Therefore, the lowest common multiple of 469,619,670,506,310 is 22769091730.
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.
469 x 619 x 670 x 506 x 310 = 30510582918200
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.
469 : 1, 7, 67, 469
619 : 1, 619
670 : 1, 2, 5, 10, 67, 134, 335, 670
506 : 1, 2, 11, 22, 23, 46, 253, 506
310 : 1, 2, 5, 10, 31, 62, 155, 310
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 469,619,670,506,310, is 1.
Now, the common factors can be found like this.
469:7x 67
619:619
670:2x 5x 67
506:2x 11x 23
310:2x 5x 31
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 5x 67 = 1340
Therefore, the value for common factors is 1340.
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 = 30510582918200/(1x1340)
LCM = 30510582918200/1340
LCM = 22769091730
Thus, we can understand that the LCM of 469,619,670,506,310 is 22769091730.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 469, 619, 670, 506, 310
1. What is the LCM of 469, 619, 670, 506, 310?
Answer: LCM of 469, 619, 670, 506, 310 is 22769091730.
2. How to calculate the LCM of 469, 619, 670, 506, 310?
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 469, 619, 670, 506, 310.
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}.