LCM of 484, 748, 178, 623
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 484, 748, 178, 623 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 484, 748, 178, 623. So, keep reading to learn more.
Given numbers are 484,748,178,623
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 484,748,178,623 is 5126044.
Find LCM of 484,748,178,623 with Prime Factorization
| 2 | 484, 748, 178, 623 |
| 2 | 242, 374, 89, 623 |
| 11 | 121, 187, 89, 623 |
| 89 | 11, 17, 89, 623 |
| 11, 17, 1, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 89 x 11 x 17 x 1 x 7 = 5126044
Therefore, the lowest common multiple of 484,748,178,623 is 5126044.
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.
484 x 748 x 178 x 623 = 40147176608
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.
484 : 1, 2, 4, 11, 22, 44, 121, 242, 484
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
178 : 1, 2, 89, 178
623 : 1, 7, 89, 623
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 484,748,178,623, is 1.
Now, the common factors can be found like this.
484:2x 2x 11x 11
748:2x 2x 11x 17
178:2x 89
623:7x 89
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 11x 89 = 7832
Therefore, the value for common factors is 7832.
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 = 40147176608/(1x7832)
LCM = 40147176608/7832
LCM = 5126044
Thus, we can understand that the LCM of 484,748,178,623 is 5126044.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 484, 748, 178, 623
1. What is the LCM of 484, 748, 178, 623?
Answer: LCM of 484, 748, 178, 623 is 5126044.
2. How to calculate the LCM of 484, 748, 178, 623?
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 484, 748, 178, 623.
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}.