LCM of 984, 653, 736, 820, 363
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 984, 653, 736, 820, 363 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 984, 653, 736, 820, 363. So, keep reading to learn more.
Given numbers are 984,653,736,820,363
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 984,653,736,820,363 is 35764444320.
Find LCM of 984,653,736,820,363 with Prime Factorization
| 2 | 984, 653, 736, 820, 363 |
| 2 | 492, 653, 368, 410, 363 |
| 2 | 246, 653, 184, 205, 363 |
| 3 | 123, 653, 92, 205, 363 |
| 41 | 41, 653, 92, 205, 121 |
| 1, 653, 92, 5, 121 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 41 x 1 x 653 x 92 x 5 x 121 = 35764444320
Therefore, the lowest common multiple of 984,653,736,820,363 is 35764444320.
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.
984 x 653 x 736 x 820 x 363 = 140768852843520
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.
984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
653 : 1, 653
736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
363 : 1, 3, 11, 33, 121, 363
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 984,653,736,820,363, is 1.
Now, the common factors can be found like this.
984:2x 2x 2x 3x 41
653:653
736:2x 2x 2x 2x 2x 23
820:2x 2x 5x 41
363:3x 11x 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 2x 2x 2x 2x 3x 41 = 3936
Therefore, the value for common factors is 3936.
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 = 140768852843520/(1x3936)
LCM = 140768852843520/3936
LCM = 35764444320
Thus, we can understand that the LCM of 984,653,736,820,363 is 35764444320.
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FAQs on LCM of 984, 653, 736, 820, 363
1. What is the LCM of 984, 653, 736, 820, 363?
Answer: LCM of 984, 653, 736, 820, 363 is 35764444320.
2. How to calculate the LCM of 984, 653, 736, 820, 363?
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 984, 653, 736, 820, 363.
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}.