LCM of 910, 968, 144, 476
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 910, 968, 144, 476 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 910, 968, 144, 476. So, keep reading to learn more.
Given numbers are 910,968,144,476
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 910,968,144,476 is 134774640.
Find LCM of 910,968,144,476 with Prime Factorization
| 2 | 910, 968, 144, 476 |
| 2 | 455, 484, 72, 238 |
| 2 | 455, 242, 36, 119 |
| 7 | 455, 121, 18, 119 |
| 65, 121, 18, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 7 x 65 x 121 x 18 x 17 = 134774640
Therefore, the lowest common multiple of 910,968,144,476 is 134774640.
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.
910 x 968 x 144 x 476 = 60379038720
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.
910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910
968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
476 : 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 910,968,144,476, is 2.
Now, the common factors can be found like this.
910:2x 5x 7x 13
968:2x 2x 2x 11x 11
144:2x 2x 2x 2x 3x 3
476:2x 2x 7x 17
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 2x 2x 2x 7 = 224
Therefore, the value for common factors is 224.
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 = 60379038720/(2x224)
LCM = 60379038720/448
LCM = 134774640
Thus, we can understand that the LCM of 910,968,144,476 is 134774640.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 910, 968, 144, 476
1. What is the LCM of 910, 968, 144, 476?
Answer: LCM of 910, 968, 144, 476 is 134774640.
2. How to calculate the LCM of 910, 968, 144, 476?
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 910, 968, 144, 476.
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}.