LCM of 161, 402, 498, 804
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 161, 402, 498, 804 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 161, 402, 498, 804. So, keep reading to learn more.
Given numbers are 161,402,498,804
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 161,402,498,804 is 10743852.
Find LCM of 161,402,498,804 with Prime Factorization
| 2 | 161, 402, 498, 804 |
| 3 | 161, 201, 249, 402 |
| 67 | 161, 67, 83, 134 |
| 161, 1, 83, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 67 x 161 x 1 x 83 x 2 = 10743852
Therefore, the lowest common multiple of 161,402,498,804 is 10743852.
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.
161 x 402 x 498 x 804 = 25914171024
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.
161 : 1, 7, 23, 161
402 : 1, 2, 3, 6, 67, 134, 201, 402
498 : 1, 2, 3, 6, 83, 166, 249, 498
804 : 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 161,402,498,804, is 1.
Now, the common factors can be found like this.
161:7x 23
402:2x 3x 67
498:2x 3x 83
804:2x 2x 3x 67
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 3x 3x 67 = 2412
Therefore, the value for common factors is 2412.
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 = 25914171024/(1x2412)
LCM = 25914171024/2412
LCM = 10743852
Thus, we can understand that the LCM of 161,402,498,804 is 10743852.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 161, 402, 498, 804
1. What is the LCM of 161, 402, 498, 804?
Answer: LCM of 161, 402, 498, 804 is 10743852.
2. How to calculate the LCM of 161, 402, 498, 804?
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 161, 402, 498, 804.
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}.