LCM of 916, 665, 354, 957, 733
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 916, 665, 354, 957, 733 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 916, 665, 354, 957, 733. So, keep reading to learn more.
Given numbers are 916,665,354,957,733
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 916,665,354,957,733 is 25210708044060.
Find LCM of 916,665,354,957,733 with Prime Factorization
| 2 | 916, 665, 354, 957, 733 |
| 3 | 458, 665, 177, 957, 733 |
| 458, 665, 59, 319, 733 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 458 x 665 x 59 x 319 x 733 = 25210708044060
Therefore, the lowest common multiple of 916,665,354,957,733 is 25210708044060.
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.
916 x 665 x 354 x 957 x 733 = 151264248264360
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.
916 : 1, 2, 4, 229, 458, 916
665 : 1, 5, 7, 19, 35, 95, 133, 665
354 : 1, 2, 3, 6, 59, 118, 177, 354
957 : 1, 3, 11, 29, 33, 87, 319, 957
733 : 1, 733
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 916,665,354,957,733, is 1.
Now, the common factors can be found like this.
916:2x 2x 229
665:5x 7x 19
354:2x 3x 59
957:3x 11x 29
733:733
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3 = 6
Therefore, the value for common factors is 6.
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 = 151264248264360/(1x6)
LCM = 151264248264360/6
LCM = 25210708044060
Thus, we can understand that the LCM of 916,665,354,957,733 is 25210708044060.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 916, 665, 354, 957, 733
1. What is the LCM of 916, 665, 354, 957, 733?
Answer: LCM of 916, 665, 354, 957, 733 is 25210708044060.
2. How to calculate the LCM of 916, 665, 354, 957, 733?
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 916, 665, 354, 957, 733.
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}.