LCM of 657, 464, 928, 874, 969
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 657, 464, 928, 874, 969 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 657, 464, 928, 874, 969. So, keep reading to learn more.
Given numbers are 657,464,928,874,969
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 657,464,928,874,969 is 4529431584.
Find LCM of 657,464,928,874,969 with Prime Factorization
| 2 | 657, 464, 928, 874, 969 |
| 2 | 657, 232, 464, 437, 969 |
| 2 | 657, 116, 232, 437, 969 |
| 2 | 657, 58, 116, 437, 969 |
| 3 | 657, 29, 58, 437, 969 |
| 19 | 219, 29, 58, 437, 323 |
| 29 | 219, 29, 58, 23, 17 |
| 219, 1, 2, 23, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 19 x 29 x 219 x 1 x 2 x 23 x 17 = 4529431584
Therefore, the lowest common multiple of 657,464,928,874,969 is 4529431584.
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.
657 x 464 x 928 x 874 x 969 = 239588813067264
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.
657 : 1, 3, 9, 73, 219, 657
464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464
928 : 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928
874 : 1, 2, 19, 23, 38, 46, 437, 874
969 : 1, 3, 17, 19, 51, 57, 323, 969
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 657,464,928,874,969, is 1.
Now, the common factors can be found like this.
657:3x 3x 73
464:2x 2x 2x 2x 29
928:2x 2x 2x 2x 2x 29
874:2x 19x 23
969:3x 17x 19
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 3x 19x 29 = 52896
Therefore, the value for common factors is 52896.
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 = 239588813067264/(1x52896)
LCM = 239588813067264/52896
LCM = 4529431584
Thus, we can understand that the LCM of 657,464,928,874,969 is 4529431584.
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FAQs on LCM of 657, 464, 928, 874, 969
1. What is the LCM of 657, 464, 928, 874, 969?
Answer: LCM of 657, 464, 928, 874, 969 is 4529431584.
2. How to calculate the LCM of 657, 464, 928, 874, 969?
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 657, 464, 928, 874, 969.
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}.