LCM of 598, 818, 429, 221
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 598, 818, 429, 221 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 598, 818, 429, 221. So, keep reading to learn more.
Given numbers are 598,818,429,221
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 598,818,429,221 is 137210502.
Find LCM of 598,818,429,221 with Prime Factorization
| 2 | 598, 818, 429, 221 |
| 13 | 299, 409, 429, 221 |
| 23, 409, 33, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 23 x 409 x 33 x 17 = 137210502
Therefore, the lowest common multiple of 598,818,429,221 is 137210502.
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.
598 x 818 x 429 x 221 = 46377149676
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.
598 : 1, 2, 13, 23, 26, 46, 299, 598
818 : 1, 2, 409, 818
429 : 1, 3, 11, 13, 33, 39, 143, 429
221 : 1, 13, 17, 221
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 598,818,429,221, is 1.
Now, the common factors can be found like this.
598:2x 13x 23
818:2x 409
429:3x 11x 13
221:13x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 13x 13 = 338
Therefore, the value for common factors is 338.
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 = 46377149676/(1x338)
LCM = 46377149676/338
LCM = 137210502
Thus, we can understand that the LCM of 598,818,429,221 is 137210502.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 598, 818, 429, 221
1. What is the LCM of 598, 818, 429, 221?
Answer: LCM of 598, 818, 429, 221 is 137210502.
2. How to calculate the LCM of 598, 818, 429, 221?
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 598, 818, 429, 221.
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}.