LCM of 363, 748, 170, 705
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 363, 748, 170, 705 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 363, 748, 170, 705. So, keep reading to learn more.
Given numbers are 363,748,170,705
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 363,748,170,705 is 5800740.
Find LCM of 363,748,170,705 with Prime Factorization
| 2 | 363, 748, 170, 705 |
| 3 | 363, 374, 85, 705 |
| 5 | 121, 374, 85, 235 |
| 11 | 121, 374, 17, 47 |
| 17 | 11, 34, 17, 47 |
| 11, 2, 1, 47 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 11 x 17 x 11 x 2 x 1 x 47 = 5800740
Therefore, the lowest common multiple of 363,748,170,705 is 5800740.
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.
363 x 748 x 170 x 705 = 32542151400
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.
363 : 1, 3, 11, 33, 121, 363
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
170 : 1, 2, 5, 10, 17, 34, 85, 170
705 : 1, 3, 5, 15, 47, 141, 235, 705
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 363,748,170,705, is 1.
Now, the common factors can be found like this.
363:3x 11x 11
748:2x 2x 11x 17
170:2x 5x 17
705:3x 5x 47
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 5x 11x 17 = 5610
Therefore, the value for common factors is 5610.
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 = 32542151400/(1x5610)
LCM = 32542151400/5610
LCM = 5800740
Thus, we can understand that the LCM of 363,748,170,705 is 5800740.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 363, 748, 170, 705
1. What is the LCM of 363, 748, 170, 705?
Answer: LCM of 363, 748, 170, 705 is 5800740.
2. How to calculate the LCM of 363, 748, 170, 705?
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 363, 748, 170, 705.
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}.