LCM of 924, 609, 873, 559, 155
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 924, 609, 873, 559, 155 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 924, 609, 873, 559, 155. So, keep reading to learn more.
Given numbers are 924,609,873,559,155
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 924,609,873,559,155 is 675626171220.
Find LCM of 924,609,873,559,155 with Prime Factorization
| 3 | 924, 609, 873, 559, 155 |
| 7 | 308, 203, 291, 559, 155 |
| 44, 29, 291, 559, 155 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 44 x 29 x 291 x 559 x 155 = 675626171220
Therefore, the lowest common multiple of 924,609,873,559,155 is 675626171220.
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.
924 x 609 x 873 x 559 x 155 = 42564448786860
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.
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
609 : 1, 3, 7, 21, 29, 87, 203, 609
873 : 1, 3, 9, 97, 291, 873
559 : 1, 13, 43, 559
155 : 1, 5, 31, 155
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 924,609,873,559,155, is 1.
Now, the common factors can be found like this.
924:2x 2x 3x 7x 11
609:3x 7x 29
873:3x 3x 97
559:13x 43
155:5x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 7 = 63
Therefore, the value for common factors is 63.
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 = 42564448786860/(1x63)
LCM = 42564448786860/63
LCM = 675626171220
Thus, we can understand that the LCM of 924,609,873,559,155 is 675626171220.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 924, 609, 873, 559, 155
1. What is the LCM of 924, 609, 873, 559, 155?
Answer: LCM of 924, 609, 873, 559, 155 is 675626171220.
2. How to calculate the LCM of 924, 609, 873, 559, 155?
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 924, 609, 873, 559, 155.
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}.