LCM of 937, 507, 169, 325, 310
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 937, 507, 169, 325, 310 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 937, 507, 169, 325, 310. So, keep reading to learn more.
Given numbers are 937,507,169,325,310
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 937,507,169,325,310 is 736341450.
Find LCM of 937,507,169,325,310 with Prime Factorization
| 5 | 937, 507, 169, 325, 310 |
| 13 | 937, 507, 169, 65, 62 |
| 13 | 937, 39, 13, 5, 62 |
| 937, 3, 1, 5, 62 |
Multiply the prime numbers at the bottom and the left side.
5 x 13 x 13 x 937 x 3 x 1 x 5 x 62 = 736341450
Therefore, the lowest common multiple of 937,507,169,325,310 is 736341450.
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.
937 x 507 x 169 x 325 x 310 = 8088710828250
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.
937 : 1, 937
507 : 1, 3, 13, 39, 169, 507
169 : 1, 13, 169
325 : 1, 5, 13, 25, 65, 325
310 : 1, 2, 5, 10, 31, 62, 155, 310
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 937,507,169,325,310, is 1.
Now, the common factors can be found like this.
937:937
507:3x 13x 13
169:13x 13
325:5x 5x 13
310:2x 5x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 13x 13x 13 = 10985
Therefore, the value for common factors is 10985.
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 = 8088710828250/(1x10985)
LCM = 8088710828250/10985
LCM = 736341450
Thus, we can understand that the LCM of 937,507,169,325,310 is 736341450.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 937, 507, 169, 325, 310
1. What is the LCM of 937, 507, 169, 325, 310?
Answer: LCM of 937, 507, 169, 325, 310 is 736341450.
2. How to calculate the LCM of 937, 507, 169, 325, 310?
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 937, 507, 169, 325, 310.
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}.