LCM of 146, 544, 800, 526, 748
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 146, 544, 800, 526, 748 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 146, 544, 800, 526, 748. So, keep reading to learn more.
Given numbers are 146,544,800,526,748
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 146,544,800,526,748 is 2872170400.
Find LCM of 146,544,800,526,748 with Prime Factorization
| 2 | 146, 544, 800, 526, 748 |
| 2 | 73, 272, 400, 263, 374 |
| 2 | 73, 136, 200, 263, 187 |
| 2 | 73, 68, 100, 263, 187 |
| 2 | 73, 34, 50, 263, 187 |
| 17 | 73, 17, 25, 263, 187 |
| 73, 1, 25, 263, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 17 x 73 x 1 x 25 x 263 x 11 = 2872170400
Therefore, the lowest common multiple of 146,544,800,526,748 is 2872170400.
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.
146 x 544 x 800 x 526 x 748 = 24999371161600
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.
146 : 1, 2, 73, 146
544 : 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544
800 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800
526 : 1, 2, 263, 526
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 146,544,800,526,748, is 2.
Now, the common factors can be found like this.
146:2x 73
544:2x 2x 2x 2x 2x 17
800:2x 2x 2x 2x 2x 5x 5
526:2x 263
748:2x 2x 11x 17
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 2x 2x 2x 2x 17 = 4352
Therefore, the value for common factors is 4352.
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 = 24999371161600/(2x4352)
LCM = 24999371161600/8704
LCM = 2872170400
Thus, we can understand that the LCM of 146,544,800,526,748 is 2872170400.
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FAQs on LCM of 146, 544, 800, 526, 748
1. What is the LCM of 146, 544, 800, 526, 748?
Answer: LCM of 146, 544, 800, 526, 748 is 2872170400.
2. How to calculate the LCM of 146, 544, 800, 526, 748?
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 146, 544, 800, 526, 748.
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}.