LCM of 462, 331, 980, 735, 495
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 462, 331, 980, 735, 495 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 462, 331, 980, 735, 495. So, keep reading to learn more.
Given numbers are 462,331,980,735,495
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 462,331,980,735,495 is 32113620.
Find LCM of 462,331,980,735,495 with Prime Factorization
| 2 | 462, 331, 980, 735, 495 |
| 3 | 231, 331, 490, 735, 495 |
| 5 | 77, 331, 490, 245, 165 |
| 7 | 77, 331, 98, 49, 33 |
| 7 | 11, 331, 14, 7, 33 |
| 11 | 11, 331, 2, 1, 33 |
| 1, 331, 2, 1, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 7 x 11 x 1 x 331 x 2 x 1 x 3 = 32113620
Therefore, the lowest common multiple of 462,331,980,735,495 is 32113620.
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.
462 x 331 x 980 x 735 x 495 = 54524109717000
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.
462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
331 : 1, 331
980 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
495 : 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 462,331,980,735,495, is 1.
Now, the common factors can be found like this.
462:2x 3x 7x 11
331:331
980:2x 2x 5x 7x 7
735:3x 5x 7x 7
495:3x 3x 5x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 5x 5x 7x 7x 7x 11 = 1697850
Therefore, the value for common factors is 1697850.
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 = 54524109717000/(1x1697850)
LCM = 54524109717000/1697850
LCM = 32113620
Thus, we can understand that the LCM of 462,331,980,735,495 is 32113620.
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FAQs on LCM of 462, 331, 980, 735, 495
1. What is the LCM of 462, 331, 980, 735, 495?
Answer: LCM of 462, 331, 980, 735, 495 is 32113620.
2. How to calculate the LCM of 462, 331, 980, 735, 495?
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 462, 331, 980, 735, 495.
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}.