LCM of 900, 340, 352, 981
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 900, 340, 352, 981 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, 340, 352, 981. So, keep reading to learn more.
Given numbers are 900,340,352,981
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 900,340,352,981 is 146757600.
Find LCM of 900,340,352,981 with Prime Factorization
| 2 | 900, 340, 352, 981 |
| 2 | 450, 170, 176, 981 |
| 3 | 225, 85, 88, 981 |
| 3 | 75, 85, 88, 327 |
| 5 | 25, 85, 88, 109 |
| 5, 17, 88, 109 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 5 x 5 x 17 x 88 x 109 = 146757600
Therefore, the lowest common multiple of 900,340,352,981 is 146757600.
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 340 x 352 x 981 = 105665472000
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
340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
981 : 1, 3, 9, 109, 327, 981
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 900,340,352,981, is 1.
Now, the common factors can be found like this.
900:2x 2x 3x 3x 5x 5
340:2x 2x 5x 17
352:2x 2x 2x 2x 2x 11
981:3x 3x 109
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 3x 3x 5 = 720
Therefore, the value for common factors is 720.
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 = 105665472000/(1x720)
LCM = 105665472000/720
LCM = 146757600
Thus, we can understand that the LCM of 900,340,352,981 is 146757600.
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FAQs on LCM of 900, 340, 352, 981
1. What is the LCM of 900, 340, 352, 981?
Answer: LCM of 900, 340, 352, 981 is 146757600.
2. How to calculate the LCM of 900, 340, 352, 981?
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, 340, 352, 981.
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}.