LCM of 468, 619, 977, 332, 996
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 468, 619, 977, 332, 996 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 468, 619, 977, 332, 996. So, keep reading to learn more.
Given numbers are 468,619,977,332,996
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 468,619,977,332,996 is 23491413972.
Find LCM of 468,619,977,332,996 with Prime Factorization
| 2 | 468, 619, 977, 332, 996 |
| 2 | 234, 619, 977, 166, 498 |
| 3 | 117, 619, 977, 83, 249 |
| 83 | 39, 619, 977, 83, 83 |
| 39, 619, 977, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 83 x 39 x 619 x 977 x 1 x 1 = 23491413972
Therefore, the lowest common multiple of 468,619,977,332,996 is 23491413972.
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.
468 x 619 x 977 x 332 x 996 = 93589793264448
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.
468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
619 : 1, 619
977 : 1, 977
332 : 1, 2, 4, 83, 166, 332
996 : 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 468,619,977,332,996, is 1.
Now, the common factors can be found like this.
468:2x 2x 3x 3x 13
619:619
977:977
332:2x 2x 83
996:2x 2x 3x 83
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 3x 83 = 3984
Therefore, the value for common factors is 3984.
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 = 93589793264448/(1x3984)
LCM = 93589793264448/3984
LCM = 23491413972
Thus, we can understand that the LCM of 468,619,977,332,996 is 23491413972.
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FAQs on LCM of 468, 619, 977, 332, 996
1. What is the LCM of 468, 619, 977, 332, 996?
Answer: LCM of 468, 619, 977, 332, 996 is 23491413972.
2. How to calculate the LCM of 468, 619, 977, 332, 996?
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 468, 619, 977, 332, 996.
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}.