LCM of 265, 281, 758, 758, 970
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 265, 281, 758, 758, 970 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 265, 281, 758, 758, 970. So, keep reading to learn more.
Given numbers are 265,281,758,758,970
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 265,281,758,758,970 is 5475113590.
Find LCM of 265,281,758,758,970 with Prime Factorization
| 2 | 265, 281, 758, 758, 970 |
| 5 | 265, 281, 379, 379, 485 |
| 379 | 53, 281, 379, 379, 97 |
| 53, 281, 1, 1, 97 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 379 x 53 x 281 x 1 x 1 x 97 = 5475113590
Therefore, the lowest common multiple of 265,281,758,758,970 is 5475113590.
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.
265 x 281 x 758 x 758 x 970 = 41501361012200
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.
265 : 1, 5, 53, 265
281 : 1, 281
758 : 1, 2, 379, 758
758 : 1, 2, 379, 758
970 : 1, 2, 5, 10, 97, 194, 485, 970
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 265,281,758,758,970, is 1.
Now, the common factors can be found like this.
265:5x 53
281:281
758:2x 379
758:2x 379
970:2x 5x 97
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 5x 379 = 7580
Therefore, the value for common factors is 7580.
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 = 41501361012200/(1x7580)
LCM = 41501361012200/7580
LCM = 5475113590
Thus, we can understand that the LCM of 265,281,758,758,970 is 5475113590.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 265, 281, 758, 758, 970
1. What is the LCM of 265, 281, 758, 758, 970?
Answer: LCM of 265, 281, 758, 758, 970 is 5475113590.
2. How to calculate the LCM of 265, 281, 758, 758, 970?
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 265, 281, 758, 758, 970.
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}.