LCM of 278, 208, 245, 429
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 278, 208, 245, 429 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 278, 208, 245, 429. So, keep reading to learn more.
Given numbers are 278,208,245,429
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 278,208,245,429 is 233753520.
Find LCM of 278,208,245,429 with Prime Factorization
| 2 | 278, 208, 245, 429 |
| 13 | 139, 104, 245, 429 |
| 139, 8, 245, 33 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 139 x 8 x 245 x 33 = 233753520
Therefore, the lowest common multiple of 278,208,245,429 is 233753520.
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.
278 x 208 x 245 x 429 = 6077591520
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.
278 : 1, 2, 139, 278
208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208
245 : 1, 5, 7, 35, 49, 245
429 : 1, 3, 11, 13, 33, 39, 143, 429
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 278,208,245,429, is 1.
Now, the common factors can be found like this.
278:2x 139
208:2x 2x 2x 2x 13
245:5x 7x 7
429:3x 11x 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 13 = 26
Therefore, the value for common factors is 26.
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 = 6077591520/(1x26)
LCM = 6077591520/26
LCM = 233753520
Thus, we can understand that the LCM of 278,208,245,429 is 233753520.
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FAQs on LCM of 278, 208, 245, 429
1. What is the LCM of 278, 208, 245, 429?
Answer: LCM of 278, 208, 245, 429 is 233753520.
2. How to calculate the LCM of 278, 208, 245, 429?
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 278, 208, 245, 429.
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}.