LCM of 906, 143, 520, 946
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 906, 143, 520, 946 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 906, 143, 520, 946. So, keep reading to learn more.
Given numbers are 906,143,520,946
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 906,143,520,946 is 111419880.
Find LCM of 906,143,520,946 with Prime Factorization
| 2 | 906, 143, 520, 946 |
| 11 | 453, 143, 260, 473 |
| 13 | 453, 13, 260, 43 |
| 453, 1, 20, 43 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 13 x 453 x 1 x 20 x 43 = 111419880
Therefore, the lowest common multiple of 906,143,520,946 is 111419880.
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.
906 x 143 x 520 x 946 = 63732171360
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.
906 : 1, 2, 3, 6, 151, 302, 453, 906
143 : 1, 11, 13, 143
520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
946 : 1, 2, 11, 22, 43, 86, 473, 946
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 906,143,520,946, is 1.
Now, the common factors can be found like this.
906:2x 3x 151
143:11x 13
520:2x 2x 2x 5x 13
946:2x 11x 43
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 11x 13 = 572
Therefore, the value for common factors is 572.
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 = 63732171360/(1x572)
LCM = 63732171360/572
LCM = 111419880
Thus, we can understand that the LCM of 906,143,520,946 is 111419880.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 906, 143, 520, 946
1. What is the LCM of 906, 143, 520, 946?
Answer: LCM of 906, 143, 520, 946 is 111419880.
2. How to calculate the LCM of 906, 143, 520, 946?
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 906, 143, 520, 946.
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}.