LCM of 153, 429, 209, 338, 319
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 153, 429, 209, 338, 319 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 153, 429, 209, 338, 319. So, keep reading to learn more.
Given numbers are 153,429,209,338,319
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 153,429,209,338,319 is 313438554.
Find LCM of 153,429,209,338,319 with Prime Factorization
| 3 | 153, 429, 209, 338, 319 |
| 11 | 51, 143, 209, 338, 319 |
| 13 | 51, 13, 19, 338, 29 |
| 51, 1, 19, 26, 29 |
Multiply the prime numbers at the bottom and the left side.
3 x 11 x 13 x 51 x 1 x 19 x 26 x 29 = 313438554
Therefore, the lowest common multiple of 153,429,209,338,319 is 313438554.
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.
153 x 429 x 209 x 338 x 319 = 1479116536326
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.
153 : 1, 3, 9, 17, 51, 153
429 : 1, 3, 11, 13, 33, 39, 143, 429
209 : 1, 11, 19, 209
338 : 1, 2, 13, 26, 169, 338
319 : 1, 11, 29, 319
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 153,429,209,338,319, is 1.
Now, the common factors can be found like this.
153:3x 3x 17
429:3x 11x 13
209:11x 19
338:2x 13x 13
319:11x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 11x 11x 13 = 4719
Therefore, the value for common factors is 4719.
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 = 1479116536326/(1x4719)
LCM = 1479116536326/4719
LCM = 313438554
Thus, we can understand that the LCM of 153,429,209,338,319 is 313438554.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 153, 429, 209, 338, 319
1. What is the LCM of 153, 429, 209, 338, 319?
Answer: LCM of 153, 429, 209, 338, 319 is 313438554.
2. How to calculate the LCM of 153, 429, 209, 338, 319?
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 153, 429, 209, 338, 319.
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}.