LCM of 243, 893, 816, 306, 958
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 243, 893, 816, 306, 958 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 243, 893, 816, 306, 958. So, keep reading to learn more.
Given numbers are 243,893,816,306,958
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 243,893,816,306,958 is 28272365712.
Find LCM of 243,893,816,306,958 with Prime Factorization
| 2 | 243, 893, 816, 306, 958 |
| 3 | 243, 893, 408, 153, 479 |
| 3 | 81, 893, 136, 51, 479 |
| 17 | 27, 893, 136, 17, 479 |
| 27, 893, 8, 1, 479 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 17 x 27 x 893 x 8 x 1 x 479 = 28272365712
Therefore, the lowest common multiple of 243,893,816,306,958 is 28272365712.
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.
243 x 893 x 816 x 306 x 958 = 51908063447232
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.
243 : 1, 3, 9, 27, 81, 243
893 : 1, 19, 47, 893
816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
958 : 1, 2, 479, 958
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 243,893,816,306,958, is 1.
Now, the common factors can be found like this.
243:3x 3x 3x 3x 3
893:19x 47
816:2x 2x 2x 2x 3x 17
306:2x 3x 3x 17
958:2x 479
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 3x 3x 3x 17 = 1836
Therefore, the value for common factors is 1836.
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 = 51908063447232/(1x1836)
LCM = 51908063447232/1836
LCM = 28272365712
Thus, we can understand that the LCM of 243,893,816,306,958 is 28272365712.
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FAQs on LCM of 243, 893, 816, 306, 958
1. What is the LCM of 243, 893, 816, 306, 958?
Answer: LCM of 243, 893, 816, 306, 958 is 28272365712.
2. How to calculate the LCM of 243, 893, 816, 306, 958?
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 243, 893, 816, 306, 958.
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}.