LCM of 247, 506, 849, 833, 816
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 247, 506, 849, 833, 816 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 247, 506, 849, 833, 816. So, keep reading to learn more.
Given numbers are 247,506,849,833,816
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 247,506,849,833,816 is 707115160752.
Find LCM of 247,506,849,833,816 with Prime Factorization
| 2 | 247, 506, 849, 833, 816 |
| 3 | 247, 253, 849, 833, 408 |
| 17 | 247, 253, 283, 833, 136 |
| 247, 253, 283, 49, 8 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 17 x 247 x 253 x 283 x 49 x 8 = 707115160752
Therefore, the lowest common multiple of 247,506,849,833,816 is 707115160752.
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.
247 x 506 x 849 x 833 x 816 = 72125746396704
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.
247 : 1, 13, 19, 247
506 : 1, 2, 11, 22, 23, 46, 253, 506
849 : 1, 3, 283, 849
833 : 1, 7, 17, 49, 119, 833
816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 247,506,849,833,816, is 1.
Now, the common factors can be found like this.
247:13x 19
506:2x 11x 23
849:3x 283
833:7x 7x 17
816:2x 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 3x 17 = 102
Therefore, the value for common factors is 102.
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 = 72125746396704/(1x102)
LCM = 72125746396704/102
LCM = 707115160752
Thus, we can understand that the LCM of 247,506,849,833,816 is 707115160752.
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FAQs on LCM of 247, 506, 849, 833, 816
1. What is the LCM of 247, 506, 849, 833, 816?
Answer: LCM of 247, 506, 849, 833, 816 is 707115160752.
2. How to calculate the LCM of 247, 506, 849, 833, 816?
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 247, 506, 849, 833, 816.
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}.