LCM of 814, 306, 945, 377, 948
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 814, 306, 945, 377, 948 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, 306, 945, 377, 948. So, keep reading to learn more.
Given numbers are 814,306,945,377,948
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 814,306,945,377,948 is 778939221060.
Find LCM of 814,306,945,377,948 with Prime Factorization
| 2 | 814, 306, 945, 377, 948 |
| 3 | 407, 153, 945, 377, 474 |
| 3 | 407, 51, 315, 377, 158 |
| 407, 17, 105, 377, 158 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 407 x 17 x 105 x 377 x 158 = 778939221060
Therefore, the lowest common multiple of 814,306,945,377,948 is 778939221060.
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 306 x 945 x 377 x 948 = 84125435874480
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
306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
377 : 1, 13, 29, 377
948 : 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 814,306,945,377,948, is 1.
Now, the common factors can be found like this.
814:2x 11x 37
306:2x 3x 3x 17
945:3x 3x 3x 5x 7
377:13x 29
948:2x 2x 3x 79
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 3x 3 = 108
Therefore, the value for common factors is 108.
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 = 84125435874480/(1x108)
LCM = 84125435874480/108
LCM = 778939221060
Thus, we can understand that the LCM of 814,306,945,377,948 is 778939221060.
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FAQs on LCM of 814, 306, 945, 377, 948
1. What is the LCM of 814, 306, 945, 377, 948?
Answer: LCM of 814, 306, 945, 377, 948 is 778939221060.
2. How to calculate the LCM of 814, 306, 945, 377, 948?
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, 306, 945, 377, 948.
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}.