LCM of 166, 252, 743, 506, 725
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 166, 252, 743, 506, 725 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 166, 252, 743, 506, 725. So, keep reading to learn more.
Given numbers are 166,252,743,506,725
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 166,252,743,506,725 is 2850532353900.
Find LCM of 166,252,743,506,725 with Prime Factorization
| 2 | 166, 252, 743, 506, 725 |
| 83, 126, 743, 253, 725 |
Multiply the prime numbers at the bottom and the left side.
2 x 83 x 126 x 743 x 253 x 725 = 2850532353900
Therefore, the lowest common multiple of 166,252,743,506,725 is 2850532353900.
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.
166 x 252 x 743 x 506 x 725 = 11402129415600
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.
166 : 1, 2, 83, 166
252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
743 : 1, 743
506 : 1, 2, 11, 22, 23, 46, 253, 506
725 : 1, 5, 25, 29, 145, 725
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 166,252,743,506,725, is 1.
Now, the common factors can be found like this.
166:2x 83
252:2x 2x 3x 3x 7
743:743
506:2x 11x 23
725:5x 5x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2 = 4
Therefore, the value for common factors is 4.
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 = 11402129415600/(1x4)
LCM = 11402129415600/4
LCM = 2850532353900
Thus, we can understand that the LCM of 166,252,743,506,725 is 2850532353900.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 166, 252, 743, 506, 725
1. What is the LCM of 166, 252, 743, 506, 725?
Answer: LCM of 166, 252, 743, 506, 725 is 2850532353900.
2. How to calculate the LCM of 166, 252, 743, 506, 725?
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 166, 252, 743, 506, 725.
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}.