LCM of 126, 442, 402, 856, 695
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 126, 442, 402, 856, 695 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 126, 442, 402, 856, 695. So, keep reading to learn more.
Given numbers are 126,442,402,856,695
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 126,442,402,856,695 is 554965767720.
Find LCM of 126,442,402,856,695 with Prime Factorization
| 2 | 126, 442, 402, 856, 695 |
| 3 | 63, 221, 201, 428, 695 |
| 21, 221, 67, 428, 695 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 21 x 221 x 67 x 428 x 695 = 554965767720
Therefore, the lowest common multiple of 126,442,402,856,695 is 554965767720.
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.
126 x 442 x 402 x 856 x 695 = 13319178425280
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.
126 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
442 : 1, 2, 13, 17, 26, 34, 221, 442
402 : 1, 2, 3, 6, 67, 134, 201, 402
856 : 1, 2, 4, 8, 107, 214, 428, 856
695 : 1, 5, 139, 695
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 126,442,402,856,695, is 1.
Now, the common factors can be found like this.
126:2x 3x 3x 7
442:2x 13x 17
402:2x 3x 67
856:2x 2x 2x 107
695:5x 139
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 3 = 24
Therefore, the value for common factors is 24.
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 = 13319178425280/(1x24)
LCM = 13319178425280/24
LCM = 554965767720
Thus, we can understand that the LCM of 126,442,402,856,695 is 554965767720.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 126, 442, 402, 856, 695
1. What is the LCM of 126, 442, 402, 856, 695?
Answer: LCM of 126, 442, 402, 856, 695 is 554965767720.
2. How to calculate the LCM of 126, 442, 402, 856, 695?
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 126, 442, 402, 856, 695.
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}.