LCM of 261, 346, 630, 977
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 261, 346, 630, 977 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 261, 346, 630, 977. So, keep reading to learn more.
Given numbers are 261,346,630,977
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 261,346,630,977 is 3088013670.
Find LCM of 261,346,630,977 with Prime Factorization
| 2 | 261, 346, 630, 977 |
| 3 | 261, 173, 315, 977 |
| 3 | 87, 173, 105, 977 |
| 29, 173, 35, 977 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 29 x 173 x 35 x 977 = 3088013670
Therefore, the lowest common multiple of 261,346,630,977 is 3088013670.
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.
261 x 346 x 630 x 977 = 55584246060
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.
261 : 1, 3, 9, 29, 87, 261
346 : 1, 2, 173, 346
630 : 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630
977 : 1, 977
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 261,346,630,977, is 1.
Now, the common factors can be found like this.
261:3x 3x 29
346:2x 173
630:2x 3x 3x 5x 7
977:977
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3 = 18
Therefore, the value for common factors is 18.
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 = 55584246060/(1x18)
LCM = 55584246060/18
LCM = 3088013670
Thus, we can understand that the LCM of 261,346,630,977 is 3088013670.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 261, 346, 630, 977
1. What is the LCM of 261, 346, 630, 977?
Answer: LCM of 261, 346, 630, 977 is 3088013670.
2. How to calculate the LCM of 261, 346, 630, 977?
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 261, 346, 630, 977.
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}.