LCM of 159, 352, 924, 737, 223
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 159, 352, 924, 737, 223 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 159, 352, 924, 737, 223. So, keep reading to learn more.
Given numbers are 159,352,924,737,223
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 159,352,924,737,223 is 5853525216.
Find LCM of 159,352,924,737,223 with Prime Factorization
| 2 | 159, 352, 924, 737, 223 |
| 2 | 159, 176, 462, 737, 223 |
| 3 | 159, 88, 231, 737, 223 |
| 11 | 53, 88, 77, 737, 223 |
| 53, 8, 7, 67, 223 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 53 x 8 x 7 x 67 x 223 = 5853525216
Therefore, the lowest common multiple of 159,352,924,737,223 is 5853525216.
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.
159 x 352 x 924 x 737 x 223 = 8499318613632
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.
159 : 1, 3, 53, 159
352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
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
737 : 1, 11, 67, 737
223 : 1, 223
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 159,352,924,737,223, is 1.
Now, the common factors can be found like this.
159:3x 53
352:2x 2x 2x 2x 2x 11
924:2x 2x 3x 7x 11
737:11x 67
223:223
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 11x 11 = 1452
Therefore, the value for common factors is 1452.
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 = 8499318613632/(1x1452)
LCM = 8499318613632/1452
LCM = 5853525216
Thus, we can understand that the LCM of 159,352,924,737,223 is 5853525216.
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FAQs on LCM of 159, 352, 924, 737, 223
1. What is the LCM of 159, 352, 924, 737, 223?
Answer: LCM of 159, 352, 924, 737, 223 is 5853525216.
2. How to calculate the LCM of 159, 352, 924, 737, 223?
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 159, 352, 924, 737, 223.
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}.