LCM of 928, 725, 364, 147, 146
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 928, 725, 364, 147, 146 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 928, 725, 364, 147, 146. So, keep reading to learn more.
Given numbers are 928,725,364,147,146
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 928,725,364,147,146 is 3236469600.
Find LCM of 928,725,364,147,146 with Prime Factorization
| 2 | 928, 725, 364, 147, 146 |
| 2 | 464, 725, 182, 147, 73 |
| 7 | 232, 725, 91, 147, 73 |
| 29 | 232, 725, 13, 21, 73 |
| 8, 25, 13, 21, 73 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 29 x 8 x 25 x 13 x 21 x 73 = 3236469600
Therefore, the lowest common multiple of 928,725,364,147,146 is 3236469600.
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.
928 x 725 x 364 x 147 x 146 = 5256026630400
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.
928 : 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928
725 : 1, 5, 25, 29, 145, 725
364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
147 : 1, 3, 7, 21, 49, 147
146 : 1, 2, 73, 146
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 928,725,364,147,146, is 1.
Now, the common factors can be found like this.
928:2x 2x 2x 2x 2x 29
725:5x 5x 29
364:2x 2x 7x 13
147:3x 7x 7
146:2x 73
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 7x 29 = 1624
Therefore, the value for common factors is 1624.
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 = 5256026630400/(1x1624)
LCM = 5256026630400/1624
LCM = 3236469600
Thus, we can understand that the LCM of 928,725,364,147,146 is 3236469600.
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FAQs on LCM of 928, 725, 364, 147, 146
1. What is the LCM of 928, 725, 364, 147, 146?
Answer: LCM of 928, 725, 364, 147, 146 is 3236469600.
2. How to calculate the LCM of 928, 725, 364, 147, 146?
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 928, 725, 364, 147, 146.
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}.