LCM of 498, 429, 472, 208
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 498, 429, 472, 208 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, 429, 472, 208. So, keep reading to learn more.
Given numbers are 498,429,472,208
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 498,429,472,208 is 33613008.
Find LCM of 498,429,472,208 with Prime Factorization
| 2 | 498, 429, 472, 208 |
| 2 | 249, 429, 236, 104 |
| 2 | 249, 429, 118, 52 |
| 3 | 249, 429, 59, 26 |
| 13 | 83, 143, 59, 26 |
| 83, 11, 59, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 13 x 83 x 11 x 59 x 2 = 33613008
Therefore, the lowest common multiple of 498,429,472,208 is 33613008.
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 429 x 472 x 208 = 20974516992
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
429 : 1, 3, 11, 13, 33, 39, 143, 429
472 : 1, 2, 4, 8, 59, 118, 236, 472
208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 498,429,472,208, is 1.
Now, the common factors can be found like this.
498:2x 3x 83
429:3x 11x 13
472:2x 2x 2x 59
208:2x 2x 2x 2x 13
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 2x 3x 13 = 624
Therefore, the value for common factors is 624.
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 = 20974516992/(1x624)
LCM = 20974516992/624
LCM = 33613008
Thus, we can understand that the LCM of 498,429,472,208 is 33613008.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 498, 429, 472, 208
1. What is the LCM of 498, 429, 472, 208?
Answer: LCM of 498, 429, 472, 208 is 33613008.
2. How to calculate the LCM of 498, 429, 472, 208?
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, 429, 472, 208.
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}.