LCM of 814, 341, 507, 528, 974
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 814, 341, 507, 528, 974 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 814, 341, 507, 528, 974. So, keep reading to learn more.
Given numbers are 814,341,507,528,974
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 814,341,507,528,974 is 49844013648.
Find LCM of 814,341,507,528,974 with Prime Factorization
| 2 | 814, 341, 507, 528, 974 |
| 3 | 407, 341, 507, 264, 487 |
| 11 | 407, 341, 169, 88, 487 |
| 37, 31, 169, 8, 487 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 37 x 31 x 169 x 8 x 487 = 49844013648
Therefore, the lowest common multiple of 814,341,507,528,974 is 49844013648.
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.
814 x 341 x 507 x 528 x 974 = 72373507816896
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.
814 : 1, 2, 11, 22, 37, 74, 407, 814
341 : 1, 11, 31, 341
507 : 1, 3, 13, 39, 169, 507
528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528
974 : 1, 2, 487, 974
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 814,341,507,528,974, is 1.
Now, the common factors can be found like this.
814:2x 11x 37
341:11x 31
507:3x 13x 13
528:2x 2x 2x 2x 3x 11
974:2x 487
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 3x 11x 11 = 1452
Therefore, the value for common factors is 1452.
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 = 72373507816896/(1x1452)
LCM = 72373507816896/1452
LCM = 49844013648
Thus, we can understand that the LCM of 814,341,507,528,974 is 49844013648.
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FAQs on LCM of 814, 341, 507, 528, 974
1. What is the LCM of 814, 341, 507, 528, 974?
Answer: LCM of 814, 341, 507, 528, 974 is 49844013648.
2. How to calculate the LCM of 814, 341, 507, 528, 974?
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 814, 341, 507, 528, 974.
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}.