LCM of 748, 355, 204, 176, 723
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 748, 355, 204, 176, 723 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 748, 355, 204, 176, 723. So, keep reading to learn more.
Given numbers are 748,355,204,176,723
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 748,355,204,176,723 is 767941680.
Find LCM of 748,355,204,176,723 with Prime Factorization
| 2 | 748, 355, 204, 176, 723 |
| 2 | 374, 355, 102, 88, 723 |
| 3 | 187, 355, 51, 44, 723 |
| 11 | 187, 355, 17, 44, 241 |
| 17 | 17, 355, 17, 4, 241 |
| 1, 355, 1, 4, 241 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 17 x 1 x 355 x 1 x 4 x 241 = 767941680
Therefore, the lowest common multiple of 748,355,204,176,723 is 767941680.
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.
748 x 355 x 204 x 176 x 723 = 6893044519680
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.
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
355 : 1, 5, 71, 355
204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
176 : 1, 2, 4, 8, 11, 16, 22, 44, 88, 176
723 : 1, 3, 241, 723
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 748,355,204,176,723, is 1.
Now, the common factors can be found like this.
748:2x 2x 11x 17
355:5x 71
204:2x 2x 3x 17
176:2x 2x 2x 2x 11
723:3x 241
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 3x 11x 17 = 8976
Therefore, the value for common factors is 8976.
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 = 6893044519680/(1x8976)
LCM = 6893044519680/8976
LCM = 767941680
Thus, we can understand that the LCM of 748,355,204,176,723 is 767941680.
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FAQs on LCM of 748, 355, 204, 176, 723
1. What is the LCM of 748, 355, 204, 176, 723?
Answer: LCM of 748, 355, 204, 176, 723 is 767941680.
2. How to calculate the LCM of 748, 355, 204, 176, 723?
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 748, 355, 204, 176, 723.
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}.