LCM of 645, 649, 770, 328, 295
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 645, 649, 770, 328, 295 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 645, 649, 770, 328, 295. So, keep reading to learn more.
Given numbers are 645,649,770,328,295
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 645,649,770,328,295 is 961117080.
Find LCM of 645,649,770,328,295 with Prime Factorization
| 2 | 645, 649, 770, 328, 295 |
| 5 | 645, 649, 385, 164, 295 |
| 11 | 129, 649, 77, 164, 59 |
| 59 | 129, 59, 7, 164, 59 |
| 129, 1, 7, 164, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 11 x 59 x 129 x 1 x 7 x 164 x 1 = 961117080
Therefore, the lowest common multiple of 645,649,770,328,295 is 961117080.
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.
645 x 649 x 770 x 328 x 295 = 31188249246000
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.
645 : 1, 3, 5, 15, 43, 129, 215, 645
649 : 1, 11, 59, 649
770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
328 : 1, 2, 4, 8, 41, 82, 164, 328
295 : 1, 5, 59, 295
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 645,649,770,328,295, is 1.
Now, the common factors can be found like this.
645:3x 5x 43
649:11x 59
770:2x 5x 7x 11
328:2x 2x 2x 41
295:5x 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 5x 5x 11x 59 = 32450
Therefore, the value for common factors is 32450.
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 = 31188249246000/(1x32450)
LCM = 31188249246000/32450
LCM = 961117080
Thus, we can understand that the LCM of 645,649,770,328,295 is 961117080.
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FAQs on LCM of 645, 649, 770, 328, 295
1. What is the LCM of 645, 649, 770, 328, 295?
Answer: LCM of 645, 649, 770, 328, 295 is 961117080.
2. How to calculate the LCM of 645, 649, 770, 328, 295?
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 645, 649, 770, 328, 295.
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}.