LCM of 762, 388, 776, 679, 877
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 762, 388, 776, 679, 877 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, 388, 776, 679, 877. So, keep reading to learn more.
Given numbers are 762,388,776,679,877
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 762,388,776,679,877 is 1815032184.
Find LCM of 762,388,776,679,877 with Prime Factorization
| 2 | 762, 388, 776, 679, 877 |
| 2 | 381, 194, 388, 679, 877 |
| 97 | 381, 97, 194, 679, 877 |
| 381, 1, 2, 7, 877 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 97 x 381 x 1 x 2 x 7 x 877 = 1815032184
Therefore, the lowest common multiple of 762,388,776,679,877 is 1815032184.
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 388 x 776 x 679 x 877 = 136621102554048
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
388 : 1, 2, 4, 97, 194, 388
776 : 1, 2, 4, 8, 97, 194, 388, 776
679 : 1, 7, 97, 679
877 : 1, 877
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 762,388,776,679,877, is 1.
Now, the common factors can be found like this.
762:2x 3x 127
388:2x 2x 97
776:2x 2x 2x 97
679:7x 97
877:877
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 97x 97 = 75272
Therefore, the value for common factors is 75272.
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 = 136621102554048/(1x75272)
LCM = 136621102554048/75272
LCM = 1815032184
Thus, we can understand that the LCM of 762,388,776,679,877 is 1815032184.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 762, 388, 776, 679, 877
1. What is the LCM of 762, 388, 776, 679, 877?
Answer: LCM of 762, 388, 776, 679, 877 is 1815032184.
2. How to calculate the LCM of 762, 388, 776, 679, 877?
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, 388, 776, 679, 877.
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}.