Find the LCM of 671, 220, 974, 658, 164 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 671, 220, 974, 658, 164. So, keep reading to learn more.
Given numbers are 671,220,974,658,164
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 671,220,974,658,164 is 88157899060.
Find LCM of 671,220,974,658,164 with Prime Factorization
2 | 671, 220, 974, 658, 164 |
2 | 671, 110, 487, 329, 82 |
11 | 671, 55, 487, 329, 41 |
61, 5, 487, 329, 41 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 61 x 5 x 487 x 329 x 41 = 88157899060
Therefore, the lowest common multiple of 671,220,974,658,164 is 88157899060.
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.
671 x 220 x 974 x 658 x 164 = 15515790234560
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.
671 : 1, 11, 61, 671
220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
974 : 1, 2, 487, 974
658 : 1, 2, 7, 14, 47, 94, 329, 658
164 : 1, 2, 4, 41, 82, 164
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 671,220,974,658,164, is 1.
Now, the common factors can be found like this.
671:11x 61
220:2x 2x 5x 11
974:2x 487
658:2x 7x 47
164:2x 2x 41
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 11 = 176
Therefore, the value for common factors is 176.
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 = 15515790234560/(1x176)
LCM = 15515790234560/176
LCM = 88157899060
Thus, we can understand that the LCM of 671,220,974,658,164 is 88157899060.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 671, 220, 974, 658, 164?
Answer: LCM of 671, 220, 974, 658, 164 is 88157899060.
2. How to calculate the LCM of 671, 220, 974, 658, 164?
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 671, 220, 974, 658, 164.
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}.