Find the LCM of 670, 766, 187, 893, 412 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 670, 766, 187, 893, 412. So, keep reading to learn more.
Given numbers are 670,766,187,893,412
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 670,766,187,893,412 is 8827421465060.
Find LCM of 670,766,187,893,412 with Prime Factorization
2 | 670, 766, 187, 893, 412 |
335, 383, 187, 893, 206 |
Multiply the prime numbers at the bottom and the left side.
2 x 335 x 383 x 187 x 893 x 206 = 8827421465060
Therefore, the lowest common multiple of 670,766,187,893,412 is 8827421465060.
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.
670 x 766 x 187 x 893 x 412 = 35309685860240
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.
670 : 1, 2, 5, 10, 67, 134, 335, 670
766 : 1, 2, 383, 766
187 : 1, 11, 17, 187
893 : 1, 19, 47, 893
412 : 1, 2, 4, 103, 206, 412
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 670,766,187,893,412, is 1.
Now, the common factors can be found like this.
670:2x 5x 67
766:2x 383
187:11x 17
893:19x 47
412:2x 2x 103
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2 = 4
Therefore, the value for common factors is 4.
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 = 35309685860240/(1x4)
LCM = 35309685860240/4
LCM = 8827421465060
Thus, we can understand that the LCM of 670,766,187,893,412 is 8827421465060.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 670, 766, 187, 893, 412?
Answer: LCM of 670, 766, 187, 893, 412 is 8827421465060.
2. How to calculate the LCM of 670, 766, 187, 893, 412?
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 670, 766, 187, 893, 412.
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}.