LCM of 300, 969, 748, 731, 893
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 300, 969, 748, 731, 893 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 300, 969, 748, 731, 893. So, keep reading to learn more.
Given numbers are 300,969,748,731,893
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 300,969,748,731,893 is 2154183900.
Find LCM of 300,969,748,731,893 with Prime Factorization
| 2 | 300, 969, 748, 731, 893 |
| 2 | 150, 969, 374, 731, 893 |
| 3 | 75, 969, 187, 731, 893 |
| 17 | 25, 323, 187, 731, 893 |
| 19 | 25, 19, 11, 43, 893 |
| 25, 1, 11, 43, 47 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 17 x 19 x 25 x 1 x 11 x 43 x 47 = 2154183900
Therefore, the lowest common multiple of 300,969,748,731,893 is 2154183900.
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.
300 x 969 x 748 x 731 x 893 = 141943485538800
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.
300 : 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
969 : 1, 3, 17, 19, 51, 57, 323, 969
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
731 : 1, 17, 43, 731
893 : 1, 19, 47, 893
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 300,969,748,731,893, is 1.
Now, the common factors can be found like this.
300:2x 2x 3x 5x 5
969:3x 17x 19
748:2x 2x 11x 17
731:17x 43
893:19x 47
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 17x 17x 19 = 65892
Therefore, the value for common factors is 65892.
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 = 141943485538800/(1x65892)
LCM = 141943485538800/65892
LCM = 2154183900
Thus, we can understand that the LCM of 300,969,748,731,893 is 2154183900.
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FAQs on LCM of 300, 969, 748, 731, 893
1. What is the LCM of 300, 969, 748, 731, 893?
Answer: LCM of 300, 969, 748, 731, 893 is 2154183900.
2. How to calculate the LCM of 300, 969, 748, 731, 893?
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 300, 969, 748, 731, 893.
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}.