Find the LCM of 670, 484, 491, 534, 110 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, 484, 491, 534, 110. So, keep reading to learn more.
Given numbers are 670,484,491,534,110
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 670,484,491,534,110 is 21256067580.
Find LCM of 670,484,491,534,110 with Prime Factorization
2 | 670, 484, 491, 534, 110 |
5 | 335, 242, 491, 267, 55 |
11 | 67, 242, 491, 267, 11 |
67, 22, 491, 267, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 11 x 67 x 22 x 491 x 267 x 1 = 21256067580
Therefore, the lowest common multiple of 670,484,491,534,110 is 21256067580.
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 484 x 491 x 534 x 110 = 9352669735200
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
484 : 1, 2, 4, 11, 22, 44, 121, 242, 484
491 : 1, 491
534 : 1, 2, 3, 6, 89, 178, 267, 534
110 : 1, 2, 5, 10, 11, 22, 55, 110
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 670,484,491,534,110, is 1.
Now, the common factors can be found like this.
670:2x 5x 67
484:2x 2x 11x 11
491:491
534:2x 3x 89
110:2x 5x 11
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 5x 11 = 440
Therefore, the value for common factors is 440.
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 = 9352669735200/(1x440)
LCM = 9352669735200/440
LCM = 21256067580
Thus, we can understand that the LCM of 670,484,491,534,110 is 21256067580.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 670, 484, 491, 534, 110?
Answer: LCM of 670, 484, 491, 534, 110 is 21256067580.
2. How to calculate the LCM of 670, 484, 491, 534, 110?
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, 484, 491, 534, 110.
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}.