LCM of 843, 368, 432, 807, 484
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 843, 368, 432, 807, 484 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 843, 368, 432, 807, 484. So, keep reading to learn more.
Given numbers are 843,368,432,807,484
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 843,368,432,807,484 is 90877328784.
Find LCM of 843,368,432,807,484 with Prime Factorization
| 2 | 843, 368, 432, 807, 484 |
| 2 | 843, 184, 216, 807, 242 |
| 2 | 843, 92, 108, 807, 121 |
| 2 | 843, 46, 54, 807, 121 |
| 3 | 843, 23, 27, 807, 121 |
| 281, 23, 9, 269, 121 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 281 x 23 x 9 x 269 x 121 = 90877328784
Therefore, the lowest common multiple of 843,368,432,807,484 is 90877328784.
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.
843 x 368 x 432 x 807 x 484 = 52345341379584
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.
843 : 1, 3, 281, 843
368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368
432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
807 : 1, 3, 269, 807
484 : 1, 2, 4, 11, 22, 44, 121, 242, 484
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 843,368,432,807,484, is 1.
Now, the common factors can be found like this.
843:3x 281
368:2x 2x 2x 2x 23
432:2x 2x 2x 2x 3x 3x 3
807:3x 269
484:2x 2x 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 2x 3x 3 = 576
Therefore, the value for common factors is 576.
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 = 52345341379584/(1x576)
LCM = 52345341379584/576
LCM = 90877328784
Thus, we can understand that the LCM of 843,368,432,807,484 is 90877328784.
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FAQs on LCM of 843, 368, 432, 807, 484
1. What is the LCM of 843, 368, 432, 807, 484?
Answer: LCM of 843, 368, 432, 807, 484 is 90877328784.
2. How to calculate the LCM of 843, 368, 432, 807, 484?
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 843, 368, 432, 807, 484.
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}.