LCM of 973, 385, 924, 150, 561
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 973, 385, 924, 150, 561 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 973, 385, 924, 150, 561. So, keep reading to learn more.
Given numbers are 973,385,924,150,561
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 973,385,924,150,561 is 54585300.
Find LCM of 973,385,924,150,561 with Prime Factorization
| 2 | 973, 385, 924, 150, 561 |
| 3 | 973, 385, 462, 75, 561 |
| 5 | 973, 385, 154, 25, 187 |
| 7 | 973, 77, 154, 5, 187 |
| 11 | 139, 11, 22, 5, 187 |
| 139, 1, 2, 5, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 11 x 139 x 1 x 2 x 5 x 17 = 54585300
Therefore, the lowest common multiple of 973,385,924,150,561 is 54585300.
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.
973 x 385 x 924 x 150 x 561 = 29127261933000
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.
973 : 1, 7, 139, 973
385 : 1, 5, 7, 11, 35, 55, 77, 385
924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
150 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
561 : 1, 3, 11, 17, 33, 51, 187, 561
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 973,385,924,150,561, is 1.
Now, the common factors can be found like this.
973:7x 139
385:5x 7x 11
924:2x 2x 3x 7x 11
150:2x 3x 5x 5
561:3x 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 3x 3x 5x 7x 7x 11x 11 = 533610
Therefore, the value for common factors is 533610.
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 = 29127261933000/(1x533610)
LCM = 29127261933000/533610
LCM = 54585300
Thus, we can understand that the LCM of 973,385,924,150,561 is 54585300.
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FAQs on LCM of 973, 385, 924, 150, 561
1. What is the LCM of 973, 385, 924, 150, 561?
Answer: LCM of 973, 385, 924, 150, 561 is 54585300.
2. How to calculate the LCM of 973, 385, 924, 150, 561?
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 973, 385, 924, 150, 561.
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}.