LCM of 842, 392, 286, 754, 776
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 842, 392, 286, 754, 776 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 842, 392, 286, 754, 776. So, keep reading to learn more.
Given numbers are 842,392,286,754,776
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 842,392,286,754,776 is 66385607288.
Find LCM of 842,392,286,754,776 with Prime Factorization
| 2 | 842, 392, 286, 754, 776 |
| 2 | 421, 196, 143, 377, 388 |
| 2 | 421, 98, 143, 377, 194 |
| 13 | 421, 49, 143, 377, 97 |
| 421, 49, 11, 29, 97 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 13 x 421 x 49 x 11 x 29 x 97 = 66385607288
Therefore, the lowest common multiple of 842,392,286,754,776 is 66385607288.
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.
842 x 392 x 286 x 754 x 776 = 55232825263616
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.
842 : 1, 2, 421, 842
392 : 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392
286 : 1, 2, 11, 13, 22, 26, 143, 286
754 : 1, 2, 13, 26, 29, 58, 377, 754
776 : 1, 2, 4, 8, 97, 194, 388, 776
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 842,392,286,754,776, is 2.
Now, the common factors can be found like this.
842:2x 421
392:2x 2x 2x 7x 7
286:2x 11x 13
754:2x 13x 29
776:2x 2x 2x 97
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 13 = 416
Therefore, the value for common factors is 416.
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 = 55232825263616/(2x416)
LCM = 55232825263616/832
LCM = 66385607288
Thus, we can understand that the LCM of 842,392,286,754,776 is 66385607288.
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FAQs on LCM of 842, 392, 286, 754, 776
1. What is the LCM of 842, 392, 286, 754, 776?
Answer: LCM of 842, 392, 286, 754, 776 is 66385607288.
2. How to calculate the LCM of 842, 392, 286, 754, 776?
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 842, 392, 286, 754, 776.
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}.