LCM of 900, 858, 544, 386
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 900, 858, 544, 386 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 900, 858, 544, 386. So, keep reading to learn more.
Given numbers are 900,858,544,386
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 900,858,544,386 is 3378117600.
Find LCM of 900,858,544,386 with Prime Factorization
| 2 | 900, 858, 544, 386 |
| 2 | 450, 429, 272, 193 |
| 3 | 225, 429, 136, 193 |
| 75, 143, 136, 193 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 75 x 143 x 136 x 193 = 3378117600
Therefore, the lowest common multiple of 900,858,544,386 is 3378117600.
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.
900 x 858 x 544 x 386 = 162149644800
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.
900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
544 : 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544
386 : 1, 2, 193, 386
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 900,858,544,386, is 2.
Now, the common factors can be found like this.
900:2x 2x 3x 3x 5x 5
858:2x 3x 11x 13
544:2x 2x 2x 2x 2x 17
386:2x 193
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 3 = 24
Therefore, the value for common factors is 24.
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 = 162149644800/(2x24)
LCM = 162149644800/48
LCM = 3378117600
Thus, we can understand that the LCM of 900,858,544,386 is 3378117600.
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FAQs on LCM of 900, 858, 544, 386
1. What is the LCM of 900, 858, 544, 386?
Answer: LCM of 900, 858, 544, 386 is 3378117600.
2. How to calculate the LCM of 900, 858, 544, 386?
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 900, 858, 544, 386.
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}.