LCM of 906, 527, 423, 677
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 906, 527, 423, 677 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, 527, 423, 677. So, keep reading to learn more.
Given numbers are 906,527,423,677
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 906,527,423,677 is 45577090134.
Find LCM of 906,527,423,677 with Prime Factorization
| 3 | 906, 527, 423, 677 |
| 302, 527, 141, 677 |
Multiply the prime numbers at the bottom and the left side.
3 x 302 x 527 x 141 x 677 = 45577090134
Therefore, the lowest common multiple of 906,527,423,677 is 45577090134.
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 527 x 423 x 677 = 136731270402
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
527 : 1, 17, 31, 527
423 : 1, 3, 9, 47, 141, 423
677 : 1, 677
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 906,527,423,677, is 1.
Now, the common factors can be found like this.
906:2x 3x 151
527:17x 31
423:3x 3x 47
677:677
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3 = 3
Therefore, the value for common factors is 3.
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 = 136731270402/(1x3)
LCM = 136731270402/3
LCM = 45577090134
Thus, we can understand that the LCM of 906,527,423,677 is 45577090134.
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, 527, 423, 677
1. What is the LCM of 906, 527, 423, 677?
Answer: LCM of 906, 527, 423, 677 is 45577090134.
2. How to calculate the LCM of 906, 527, 423, 677?
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, 527, 423, 677.
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}.