LCM of 735, 986, 245, 315
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 735, 986, 245, 315 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 735, 986, 245, 315. So, keep reading to learn more.
Given numbers are 735,986,245,315
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 735,986,245,315 is 2174130.
Find LCM of 735,986,245,315 with Prime Factorization
| 3 | 735, 986, 245, 315 |
| 5 | 245, 986, 245, 105 |
| 7 | 49, 986, 49, 21 |
| 7 | 7, 986, 7, 3 |
| 1, 986, 1, 3 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 7 x 7 x 1 x 986 x 1 x 3 = 2174130
Therefore, the lowest common multiple of 735,986,245,315 is 2174130.
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.
735 x 986 x 245 x 315 = 55929494250
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.
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
986 : 1, 2, 17, 29, 34, 58, 493, 986
245 : 1, 5, 7, 35, 49, 245
315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 735,986,245,315, is 1.
Now, the common factors can be found like this.
735:3x 5x 7x 7
986:2x 17x 29
245:5x 7x 7
315:3x 3x 5x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5x 5x 7x 7x 7 = 25725
Therefore, the value for common factors is 25725.
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 = 55929494250/(1x25725)
LCM = 55929494250/25725
LCM = 2174130
Thus, we can understand that the LCM of 735,986,245,315 is 2174130.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 735, 986, 245, 315
1. What is the LCM of 735, 986, 245, 315?
Answer: LCM of 735, 986, 245, 315 is 2174130.
2. How to calculate the LCM of 735, 986, 245, 315?
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 735, 986, 245, 315.
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}.