LCM of 221, 759, 312, 498
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 221, 759, 312, 498 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 221, 759, 312, 498. So, keep reading to learn more.
Given numbers are 221,759,312,498
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 221,759,312,498 is 111378696.
Find LCM of 221,759,312,498 with Prime Factorization
| 2 | 221, 759, 312, 498 |
| 3 | 221, 759, 156, 249 |
| 13 | 221, 253, 52, 83 |
| 17, 253, 4, 83 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 17 x 253 x 4 x 83 = 111378696
Therefore, the lowest common multiple of 221,759,312,498 is 111378696.
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.
221 x 759 x 312 x 498 = 26062614864
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.
221 : 1, 13, 17, 221
759 : 1, 3, 11, 23, 33, 69, 253, 759
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
498 : 1, 2, 3, 6, 83, 166, 249, 498
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 221,759,312,498, is 1.
Now, the common factors can be found like this.
221:13x 17
759:3x 11x 23
312:2x 2x 2x 3x 13
498:2x 3x 83
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 13 = 234
Therefore, the value for common factors is 234.
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 = 26062614864/(1x234)
LCM = 26062614864/234
LCM = 111378696
Thus, we can understand that the LCM of 221,759,312,498 is 111378696.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 221, 759, 312, 498
1. What is the LCM of 221, 759, 312, 498?
Answer: LCM of 221, 759, 312, 498 is 111378696.
2. How to calculate the LCM of 221, 759, 312, 498?
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 221, 759, 312, 498.
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}.