LCM of 377, 610, 695, 375, 575
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 377, 610, 695, 375, 575 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 377, 610, 695, 375, 575. So, keep reading to learn more.
Given numbers are 377,610,695,375,575
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 377,610,695,375,575 is 55141056750.
Find LCM of 377,610,695,375,575 with Prime Factorization
| 5 | 377, 610, 695, 375, 575 |
| 5 | 377, 122, 139, 75, 115 |
| 377, 122, 139, 15, 23 |
Multiply the prime numbers at the bottom and the left side.
5 x 5 x 377 x 122 x 139 x 15 x 23 = 55141056750
Therefore, the lowest common multiple of 377,610,695,375,575 is 55141056750.
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.
377 x 610 x 695 x 375 x 575 = 34463160468750
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.
377 : 1, 13, 29, 377
610 : 1, 2, 5, 10, 61, 122, 305, 610
695 : 1, 5, 139, 695
375 : 1, 3, 5, 15, 25, 75, 125, 375
575 : 1, 5, 23, 25, 115, 575
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 377,610,695,375,575, is 1.
Now, the common factors can be found like this.
377:13x 29
610:2x 5x 61
695:5x 139
375:3x 5x 5x 5
575:5x 5x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 5x 5x 5 = 625
Therefore, the value for common factors is 625.
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 = 34463160468750/(1x625)
LCM = 34463160468750/625
LCM = 55141056750
Thus, we can understand that the LCM of 377,610,695,375,575 is 55141056750.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 377, 610, 695, 375, 575
1. What is the LCM of 377, 610, 695, 375, 575?
Answer: LCM of 377, 610, 695, 375, 575 is 55141056750.
2. How to calculate the LCM of 377, 610, 695, 375, 575?
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 377, 610, 695, 375, 575.
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}.