LCM of 762, 592, 888, 679, 166
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 762, 592, 888, 679, 166 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 762, 592, 888, 679, 166. So, keep reading to learn more.
Given numbers are 762,592,888,679,166
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 762,592,888,679,166 is 12711434064.
Find LCM of 762,592,888,679,166 with Prime Factorization
| 2 | 762, 592, 888, 679, 166 |
| 2 | 381, 296, 444, 679, 83 |
| 2 | 381, 148, 222, 679, 83 |
| 3 | 381, 74, 111, 679, 83 |
| 37 | 127, 74, 37, 679, 83 |
| 127, 2, 1, 679, 83 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 37 x 127 x 2 x 1 x 679 x 83 = 12711434064
Therefore, the lowest common multiple of 762,592,888,679,166 is 12711434064.
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.
762 x 592 x 888 x 679 x 166 = 45151013795328
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.
762 : 1, 2, 3, 6, 127, 254, 381, 762
592 : 1, 2, 4, 8, 16, 37, 74, 148, 296, 592
888 : 1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888
679 : 1, 7, 97, 679
166 : 1, 2, 83, 166
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 762,592,888,679,166, is 1.
Now, the common factors can be found like this.
762:2x 3x 127
592:2x 2x 2x 2x 37
888:2x 2x 2x 3x 37
679:7x 97
166:2x 83
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 2x 2x 2x 3x 37 = 3552
Therefore, the value for common factors is 3552.
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 = 45151013795328/(1x3552)
LCM = 45151013795328/3552
LCM = 12711434064
Thus, we can understand that the LCM of 762,592,888,679,166 is 12711434064.
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FAQs on LCM of 762, 592, 888, 679, 166
1. What is the LCM of 762, 592, 888, 679, 166?
Answer: LCM of 762, 592, 888, 679, 166 is 12711434064.
2. How to calculate the LCM of 762, 592, 888, 679, 166?
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 762, 592, 888, 679, 166.
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}.