LCM of 756, 918, 996, 786, 606
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 756, 918, 996, 786, 606 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 756, 918, 996, 786, 606. So, keep reading to learn more.
Given numbers are 756,918,996,786,606
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 756,918,996,786,606 is 14113719396.
Find LCM of 756,918,996,786,606 with Prime Factorization
| 2 | 756, 918, 996, 786, 606 |
| 2 | 378, 459, 498, 393, 303 |
| 3 | 189, 459, 249, 393, 303 |
| 3 | 63, 153, 83, 131, 101 |
| 3 | 21, 51, 83, 131, 101 |
| 7, 17, 83, 131, 101 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 3 x 7 x 17 x 83 x 131 x 101 = 14113719396
Therefore, the lowest common multiple of 756,918,996,786,606 is 14113719396.
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.
756 x 918 x 996 x 786 x 606 = 329244846069888
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.
756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
918 : 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
996 : 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996
786 : 1, 2, 3, 6, 131, 262, 393, 786
606 : 1, 2, 3, 6, 101, 202, 303, 606
6 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 756,918,996,786,606, is 6.
Now, the common factors can be found like this.
756:2x 2x 3x 3x 3x 7
918:2x 3x 3x 3x 17
996:2x 2x 3x 83
786:2x 3x 131
606:2x 3x 101
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 3x 3x 3x 3x 3 = 3888
Therefore, the value for common factors is 3888.
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 = 329244846069888/(6x3888)
LCM = 329244846069888/23328
LCM = 14113719396
Thus, we can understand that the LCM of 756,918,996,786,606 is 14113719396.
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FAQs on LCM of 756, 918, 996, 786, 606
1. What is the LCM of 756, 918, 996, 786, 606?
Answer: LCM of 756, 918, 996, 786, 606 is 14113719396.
2. How to calculate the LCM of 756, 918, 996, 786, 606?
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 756, 918, 996, 786, 606.
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}.