LCM of 202, 416, 829, 156, 101
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 202, 416, 829, 156, 101 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 202, 416, 829, 156, 101. So, keep reading to learn more.
Given numbers are 202,416,829,156,101
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 202,416,829,156,101 is 104493792.
Find LCM of 202,416,829,156,101 with Prime Factorization
| 2 | 202, 416, 829, 156, 101 |
| 2 | 101, 208, 829, 78, 101 |
| 13 | 101, 104, 829, 39, 101 |
| 101 | 101, 8, 829, 3, 101 |
| 1, 8, 829, 3, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 101 x 1 x 8 x 829 x 3 x 1 = 104493792
Therefore, the lowest common multiple of 202,416,829,156,101 is 104493792.
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.
202 x 416 x 829 x 156 x 101 = 1097602791168
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.
202 : 1, 2, 101, 202
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
829 : 1, 829
156 : 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
101 : 1, 101
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 202,416,829,156,101, is 1.
Now, the common factors can be found like this.
202:2x 101
416:2x 2x 2x 2x 2x 13
829:829
156:2x 2x 3x 13
101:101
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 13x 101 = 10504
Therefore, the value for common factors is 10504.
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 = 1097602791168/(1x10504)
LCM = 1097602791168/10504
LCM = 104493792
Thus, we can understand that the LCM of 202,416,829,156,101 is 104493792.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 202, 416, 829, 156, 101
1. What is the LCM of 202, 416, 829, 156, 101?
Answer: LCM of 202, 416, 829, 156, 101 is 104493792.
2. How to calculate the LCM of 202, 416, 829, 156, 101?
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 202, 416, 829, 156, 101.
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}.