LCM of 146, 697, 980, 803, 408
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 146, 697, 980, 803, 408 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 146, 697, 980, 803, 408. So, keep reading to learn more.
Given numbers are 146,697,980,803,408
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 146,697,980,803,408 is 3290983080.
Find LCM of 146,697,980,803,408 with Prime Factorization
| 2 | 146, 697, 980, 803, 408 |
| 2 | 73, 697, 490, 803, 204 |
| 17 | 73, 697, 245, 803, 102 |
| 73 | 73, 41, 245, 803, 6 |
| 1, 41, 245, 11, 6 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 17 x 73 x 1 x 41 x 245 x 11 x 6 = 3290983080
Therefore, the lowest common multiple of 146,697,980,803,408 is 3290983080.
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.
146 x 697 x 980 x 803 x 408 = 32672880018240
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.
146 : 1, 2, 73, 146
697 : 1, 17, 41, 697
980 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980
803 : 1, 11, 73, 803
408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 146,697,980,803,408, is 1.
Now, the common factors can be found like this.
146:2x 73
697:17x 41
980:2x 2x 5x 7x 7
803:11x 73
408:2x 2x 2x 3x 17
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 17x 73 = 9928
Therefore, the value for common factors is 9928.
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 = 32672880018240/(1x9928)
LCM = 32672880018240/9928
LCM = 3290983080
Thus, we can understand that the LCM of 146,697,980,803,408 is 3290983080.
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FAQs on LCM of 146, 697, 980, 803, 408
1. What is the LCM of 146, 697, 980, 803, 408?
Answer: LCM of 146, 697, 980, 803, 408 is 3290983080.
2. How to calculate the LCM of 146, 697, 980, 803, 408?
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 146, 697, 980, 803, 408.
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}.