LCM of 187, 531, 152, 924, 561
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 187, 531, 152, 924, 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 187, 531, 152, 924, 561. So, keep reading to learn more.
Given numbers are 187,531,152,924,561
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 187,531,152,924,561 is 105652008.
Find LCM of 187,531,152,924,561 with Prime Factorization
| 2 | 187, 531, 152, 924, 561 |
| 2 | 187, 531, 76, 462, 561 |
| 3 | 187, 531, 38, 231, 561 |
| 11 | 187, 177, 38, 77, 187 |
| 17 | 17, 177, 38, 7, 17 |
| 1, 177, 38, 7, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 17 x 1 x 177 x 38 x 7 x 1 = 105652008
Therefore, the lowest common multiple of 187,531,152,924,561 is 105652008.
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.
187 x 531 x 152 x 924 x 561 = 7823742496416
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.
187 : 1, 11, 17, 187
531 : 1, 3, 9, 59, 177, 531
152 : 1, 2, 4, 8, 19, 38, 76, 152
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
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 187,531,152,924,561, is 1.
Now, the common factors can be found like this.
187:11x 17
531:3x 3x 59
152:2x 2x 2x 19
924:2x 2x 3x 7x 11
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 2x 3x 3x 11x 11x 17 = 74052
Therefore, the value for common factors is 74052.
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 = 7823742496416/(1x74052)
LCM = 7823742496416/74052
LCM = 105652008
Thus, we can understand that the LCM of 187,531,152,924,561 is 105652008.
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FAQs on LCM of 187, 531, 152, 924, 561
1. What is the LCM of 187, 531, 152, 924, 561?
Answer: LCM of 187, 531, 152, 924, 561 is 105652008.
2. How to calculate the LCM of 187, 531, 152, 924, 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 187, 531, 152, 924, 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}.