LCM of 427, 309, 260, 904, 894
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 427, 309, 260, 904, 894 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 427, 309, 260, 904, 894. So, keep reading to learn more.
Given numbers are 427,309,260,904,894
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 427,309,260,904,894 is 1155192631320.
Find LCM of 427,309,260,904,894 with Prime Factorization
| 2 | 427, 309, 260, 904, 894 |
| 2 | 427, 309, 130, 452, 447 |
| 3 | 427, 309, 65, 226, 447 |
| 427, 103, 65, 226, 149 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 427 x 103 x 65 x 226 x 149 = 1155192631320
Therefore, the lowest common multiple of 427,309,260,904,894 is 1155192631320.
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.
427 x 309 x 260 x 904 x 894 = 27724623151680
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.
427 : 1, 7, 61, 427
309 : 1, 3, 103, 309
260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
904 : 1, 2, 4, 8, 113, 226, 452, 904
894 : 1, 2, 3, 6, 149, 298, 447, 894
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 427,309,260,904,894, is 1.
Now, the common factors can be found like this.
427:7x 61
309:3x 103
260:2x 2x 5x 13
904:2x 2x 2x 113
894:2x 3x 149
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 3 = 24
Therefore, the value for common factors is 24.
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 = 27724623151680/(1x24)
LCM = 27724623151680/24
LCM = 1155192631320
Thus, we can understand that the LCM of 427,309,260,904,894 is 1155192631320.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 427, 309, 260, 904, 894
1. What is the LCM of 427, 309, 260, 904, 894?
Answer: LCM of 427, 309, 260, 904, 894 is 1155192631320.
2. How to calculate the LCM of 427, 309, 260, 904, 894?
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 427, 309, 260, 904, 894.
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}.