LCM of 663, 117, 498, 357
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 663, 117, 498, 357 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 663, 117, 498, 357. So, keep reading to learn more.
Given numbers are 663,117,498,357
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 663,117,498,357 is 2311218.
Find LCM of 663,117,498,357 with Prime Factorization
| 3 | 663, 117, 498, 357 |
| 13 | 221, 39, 166, 119 |
| 17 | 17, 3, 166, 119 |
| 1, 3, 166, 7 |
Multiply the prime numbers at the bottom and the left side.
3 x 13 x 17 x 1 x 3 x 166 x 7 = 2311218
Therefore, the lowest common multiple of 663,117,498,357 is 2311218.
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.
663 x 117 x 498 x 357 = 13791037806
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.
663 : 1, 3, 13, 17, 39, 51, 221, 663
117 : 1, 3, 9, 13, 39, 117
498 : 1, 2, 3, 6, 83, 166, 249, 498
357 : 1, 3, 7, 17, 21, 51, 119, 357
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 663,117,498,357, is 3.
Now, the common factors can be found like this.
663:3x 13x 17
117:3x 3x 13
498:2x 3x 83
357:3x 7x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 13x 17 = 1989
Therefore, the value for common factors is 1989.
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 = 13791037806/(3x1989)
LCM = 13791037806/5967
LCM = 2311218
Thus, we can understand that the LCM of 663,117,498,357 is 2311218.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 663, 117, 498, 357
1. What is the LCM of 663, 117, 498, 357?
Answer: LCM of 663, 117, 498, 357 is 2311218.
2. How to calculate the LCM of 663, 117, 498, 357?
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 663, 117, 498, 357.
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}.