LCM of 498, 754, 174, 684
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 498, 754, 174, 684 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, 754, 174, 684. So, keep reading to learn more.
Given numbers are 498,754,174,684
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 498,754,174,684 is 21403044.
Find LCM of 498,754,174,684 with Prime Factorization
| 2 | 498, 754, 174, 684 |
| 3 | 249, 377, 87, 342 |
| 29 | 83, 377, 29, 114 |
| 83, 13, 1, 114 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 29 x 83 x 13 x 1 x 114 = 21403044
Therefore, the lowest common multiple of 498,754,174,684 is 21403044.
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 754 x 174 x 684 = 44689555872
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
754 : 1, 2, 13, 26, 29, 58, 377, 754
174 : 1, 2, 3, 6, 29, 58, 87, 174
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 498,754,174,684, is 2.
Now, the common factors can be found like this.
498:2x 3x 83
754:2x 13x 29
174:2x 3x 29
684:2x 2x 3x 3x 19
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 29 = 1044
Therefore, the value for common factors is 1044.
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 = 44689555872/(2x1044)
LCM = 44689555872/2088
LCM = 21403044
Thus, we can understand that the LCM of 498,754,174,684 is 21403044.
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FAQs on LCM of 498, 754, 174, 684
1. What is the LCM of 498, 754, 174, 684?
Answer: LCM of 498, 754, 174, 684 is 21403044.
2. How to calculate the LCM of 498, 754, 174, 684?
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, 754, 174, 684.
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}.