LCM of 670, 970, 170, 895, 306
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 670, 970, 170, 895, 306 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, 970, 170, 895, 306. So, keep reading to learn more.
Given numbers are 670,970,170,895,306
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 670,970,170,895,306 is 1779881130.
Find LCM of 670,970,170,895,306 with Prime Factorization
| 2 | 670, 970, 170, 895, 306 |
| 5 | 335, 485, 85, 895, 153 |
| 17 | 67, 97, 17, 179, 153 |
| 67, 97, 1, 179, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 17 x 67 x 97 x 1 x 179 x 9 = 1779881130
Therefore, the lowest common multiple of 670,970,170,895,306 is 1779881130.
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 970 x 170 x 895 x 306 = 30257979210000
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
970 : 1, 2, 5, 10, 97, 194, 485, 970
170 : 1, 2, 5, 10, 17, 34, 85, 170
895 : 1, 5, 179, 895
306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 670,970,170,895,306, is 1.
Now, the common factors can be found like this.
670:2x 5x 67
970:2x 5x 97
170:2x 5x 17
895:5x 179
306:2x 3x 3x 17
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 5x 5x 17 = 17000
Therefore, the value for common factors is 17000.
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 = 30257979210000/(1x17000)
LCM = 30257979210000/17000
LCM = 1779881130
Thus, we can understand that the LCM of 670,970,170,895,306 is 1779881130.
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FAQs on LCM of 670, 970, 170, 895, 306
1. What is the LCM of 670, 970, 170, 895, 306?
Answer: LCM of 670, 970, 170, 895, 306 is 1779881130.
2. How to calculate the LCM of 670, 970, 170, 895, 306?
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, 970, 170, 895, 306.
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}.