LCM of 498, 268, 204, 761
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 498, 268, 204, 761 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 498, 268, 204, 761. So, keep reading to learn more.
Given numbers are 498,268,204,761
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 498,268,204,761 is 863311884.
Find LCM of 498,268,204,761 with Prime Factorization
| 2 | 498, 268, 204, 761 |
| 2 | 249, 134, 102, 761 |
| 3 | 249, 67, 51, 761 |
| 83, 67, 17, 761 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 83 x 67 x 17 x 761 = 863311884
Therefore, the lowest common multiple of 498,268,204,761 is 863311884.
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.
498 x 268 x 204 x 761 = 20719485216
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.
498 : 1, 2, 3, 6, 83, 166, 249, 498
268 : 1, 2, 4, 67, 134, 268
204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
761 : 1, 761
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 498,268,204,761, is 1.
Now, the common factors can be found like this.
498:2x 3x 83
268:2x 2x 67
204:2x 2x 3x 17
761:761
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 = 20719485216/(1x24)
LCM = 20719485216/24
LCM = 863311884
Thus, we can understand that the LCM of 498,268,204,761 is 863311884.
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FAQs on LCM of 498, 268, 204, 761
1. What is the LCM of 498, 268, 204, 761?
Answer: LCM of 498, 268, 204, 761 is 863311884.
2. How to calculate the LCM of 498, 268, 204, 761?
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 498, 268, 204, 761.
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}.