LCM of 922, 654, 900, 874, 545
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 922, 654, 900, 874, 545 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 922, 654, 900, 874, 545. So, keep reading to learn more.
Given numbers are 922,654,900,874,545
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 922,654,900,874,545 is 19762931700.
Find LCM of 922,654,900,874,545 with Prime Factorization
| 2 | 922, 654, 900, 874, 545 |
| 3 | 461, 327, 450, 437, 545 |
| 5 | 461, 109, 150, 437, 545 |
| 109 | 461, 109, 30, 437, 109 |
| 461, 1, 30, 437, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 109 x 461 x 1 x 30 x 437 x 1 = 19762931700
Therefore, the lowest common multiple of 922,654,900,874,545 is 19762931700.
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.
922 x 654 x 900 x 874 x 545 = 258499146636000
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.
922 : 1, 2, 461, 922
654 : 1, 2, 3, 6, 109, 218, 327, 654
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
874 : 1, 2, 19, 23, 38, 46, 437, 874
545 : 1, 5, 109, 545
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 922,654,900,874,545, is 1.
Now, the common factors can be found like this.
922:2x 461
654:2x 3x 109
900:2x 2x 3x 3x 5x 5
874:2x 19x 23
545:5x 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 3x 5x 109 = 13080
Therefore, the value for common factors is 13080.
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 = 258499146636000/(1x13080)
LCM = 258499146636000/13080
LCM = 19762931700
Thus, we can understand that the LCM of 922,654,900,874,545 is 19762931700.
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FAQs on LCM of 922, 654, 900, 874, 545
1. What is the LCM of 922, 654, 900, 874, 545?
Answer: LCM of 922, 654, 900, 874, 545 is 19762931700.
2. How to calculate the LCM of 922, 654, 900, 874, 545?
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 922, 654, 900, 874, 545.
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}.