Find the LCM of 928, 329, 653, 838, 919 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 928, 329, 653, 838, 919. So, keep reading to learn more.
Given numbers are 928,329,653,838,919
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 928,329,653,838,919 is 76769124852896.
Find LCM of 928,329,653,838,919 with Prime Factorization
2 | 928, 329, 653, 838, 919 |
464, 329, 653, 419, 919 |
Multiply the prime numbers at the bottom and the left side.
2 x 464 x 329 x 653 x 419 x 919 = 76769124852896
Therefore, the lowest common multiple of 928,329,653,838,919 is 76769124852896.
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.
928 x 329 x 653 x 838 x 919 = 153538249705792
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.
928 : 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928
329 : 1, 7, 47, 329
653 : 1, 653
838 : 1, 2, 419, 838
919 : 1, 919
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 928,329,653,838,919, is 1.
Now, the common factors can be found like this.
928:2x 2x 2x 2x 2x 29
329:7x 47
653:653
838:2x 419
919:919
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2 = 2
Therefore, the value for common factors is 2.
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 = 153538249705792/(1x2)
LCM = 153538249705792/2
LCM = 76769124852896
Thus, we can understand that the LCM of 928,329,653,838,919 is 76769124852896.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 928, 329, 653, 838, 919?
Answer: LCM of 928, 329, 653, 838, 919 is 76769124852896.
2. How to calculate the LCM of 928, 329, 653, 838, 919?
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 928, 329, 653, 838, 919.
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}.