LCM of 554, 399, 969, 874, 658
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 554, 399, 969, 874, 658 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 554, 399, 969, 874, 658. So, keep reading to learn more.
Given numbers are 554,399,969,874,658
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 554,399,969,874,658 is 4062162342.
Find LCM of 554,399,969,874,658 with Prime Factorization
| 2 | 554, 399, 969, 874, 658 |
| 3 | 277, 399, 969, 437, 329 |
| 7 | 277, 133, 323, 437, 329 |
| 19 | 277, 19, 323, 437, 47 |
| 277, 1, 17, 23, 47 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 19 x 277 x 1 x 17 x 23 x 47 = 4062162342
Therefore, the lowest common multiple of 554,399,969,874,658 is 4062162342.
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.
554 x 399 x 969 x 874 x 658 = 123181010858808
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.
554 : 1, 2, 277, 554
399 : 1, 3, 7, 19, 21, 57, 133, 399
969 : 1, 3, 17, 19, 51, 57, 323, 969
874 : 1, 2, 19, 23, 38, 46, 437, 874
658 : 1, 2, 7, 14, 47, 94, 329, 658
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 554,399,969,874,658, is 1.
Now, the common factors can be found like this.
554:2x 277
399:3x 7x 19
969:3x 17x 19
874:2x 19x 23
658:2x 7x 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 7x 19x 19 = 30324
Therefore, the value for common factors is 30324.
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 = 123181010858808/(1x30324)
LCM = 123181010858808/30324
LCM = 4062162342
Thus, we can understand that the LCM of 554,399,969,874,658 is 4062162342.
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FAQs on LCM of 554, 399, 969, 874, 658
1. What is the LCM of 554, 399, 969, 874, 658?
Answer: LCM of 554, 399, 969, 874, 658 is 4062162342.
2. How to calculate the LCM of 554, 399, 969, 874, 658?
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 554, 399, 969, 874, 658.
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}.