LCM of 737, 912, 964, 671, 159
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 737, 912, 964, 671, 159 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 737, 912, 964, 671, 159. So, keep reading to learn more.
Given numbers are 737,912,964,671,159
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 737,912,964,671,159 is 523703014032.
Find LCM of 737,912,964,671,159 with Prime Factorization
| 2 | 737, 912, 964, 671, 159 |
| 2 | 737, 456, 482, 671, 159 |
| 3 | 737, 228, 241, 671, 159 |
| 11 | 737, 76, 241, 671, 53 |
| 67, 76, 241, 61, 53 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 67 x 76 x 241 x 61 x 53 = 523703014032
Therefore, the lowest common multiple of 737,912,964,671,159 is 523703014032.
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.
737 x 912 x 964 x 671 x 159 = 69128797852224
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.
737 : 1, 11, 67, 737
912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
964 : 1, 2, 4, 241, 482, 964
671 : 1, 11, 61, 671
159 : 1, 3, 53, 159
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 737,912,964,671,159, is 1.
Now, the common factors can be found like this.
737:11x 67
912:2x 2x 2x 2x 3x 19
964:2x 2x 241
671:11x 61
159:3x 53
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 11 = 132
Therefore, the value for common factors is 132.
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 = 69128797852224/(1x132)
LCM = 69128797852224/132
LCM = 523703014032
Thus, we can understand that the LCM of 737,912,964,671,159 is 523703014032.
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FAQs on LCM of 737, 912, 964, 671, 159
1. What is the LCM of 737, 912, 964, 671, 159?
Answer: LCM of 737, 912, 964, 671, 159 is 523703014032.
2. How to calculate the LCM of 737, 912, 964, 671, 159?
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 737, 912, 964, 671, 159.
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}.