Find the LCM of 670, 291, 170, 570, 354 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, 291, 170, 570, 354. So, keep reading to learn more.
Given numbers are 670,291,170,570,354
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 670,291,170,570,354 is 3715543290.
Find LCM of 670,291,170,570,354 with Prime Factorization
2 | 670, 291, 170, 570, 354 |
3 | 335, 291, 85, 285, 177 |
5 | 335, 97, 85, 95, 59 |
67, 97, 17, 19, 59 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 67 x 97 x 17 x 19 x 59 = 3715543290
Therefore, the lowest common multiple of 670,291,170,570,354 is 3715543290.
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 291 x 170 x 570 x 354 = 6687977922000
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
291 : 1, 3, 97, 291
170 : 1, 2, 5, 10, 17, 34, 85, 170
570 : 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570
354 : 1, 2, 3, 6, 59, 118, 177, 354
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 670,291,170,570,354, is 1.
Now, the common factors can be found like this.
670:2x 5x 67
291:3x 97
170:2x 5x 17
570:2x 3x 5x 19
354:2x 3x 59
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 3x 3x 5x 5 = 1800
Therefore, the value for common factors is 1800.
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 = 6687977922000/(1x1800)
LCM = 6687977922000/1800
LCM = 3715543290
Thus, we can understand that the LCM of 670,291,170,570,354 is 3715543290.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 670, 291, 170, 570, 354?
Answer: LCM of 670, 291, 170, 570, 354 is 3715543290.
2. How to calculate the LCM of 670, 291, 170, 570, 354?
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, 291, 170, 570, 354.
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}.