LCM of 828, 564, 908, 776, 658
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 828, 564, 908, 776, 658 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 828, 564, 908, 776, 658. So, keep reading to learn more.
Given numbers are 828,564,908,776,658
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 828,564,908,776,658 is 11996479656.
Find LCM of 828,564,908,776,658 with Prime Factorization
| 2 | 828, 564, 908, 776, 658 |
| 2 | 414, 282, 454, 388, 329 |
| 3 | 207, 141, 227, 194, 329 |
| 47 | 69, 47, 227, 194, 329 |
| 69, 1, 227, 194, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 47 x 69 x 1 x 227 x 194 x 7 = 11996479656
Therefore, the lowest common multiple of 828,564,908,776,658 is 11996479656.
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.
828 x 564 x 908 x 776 x 658 = 216512464831488
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.
828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
908 : 1, 2, 4, 227, 454, 908
776 : 1, 2, 4, 8, 97, 194, 388, 776
658 : 1, 2, 7, 14, 47, 94, 329, 658
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 828,564,908,776,658, is 2.
Now, the common factors can be found like this.
828:2x 2x 3x 3x 23
564:2x 2x 3x 47
908:2x 2x 227
776:2x 2x 2x 97
658:2x 7x 47
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 2x 2x 3x 47 = 9024
Therefore, the value for common factors is 9024.
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 = 216512464831488/(2x9024)
LCM = 216512464831488/18048
LCM = 11996479656
Thus, we can understand that the LCM of 828,564,908,776,658 is 11996479656.
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FAQs on LCM of 828, 564, 908, 776, 658
1. What is the LCM of 828, 564, 908, 776, 658?
Answer: LCM of 828, 564, 908, 776, 658 is 11996479656.
2. How to calculate the LCM of 828, 564, 908, 776, 658?
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 828, 564, 908, 776, 658.
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}.