LCM of 209, 473, 581, 344, 274
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 209, 473, 581, 344, 274 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 209, 473, 581, 344, 274. So, keep reading to learn more.
Given numbers are 209,473,581,344,274
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 209,473,581,344,274 is 5722705912.
Find LCM of 209,473,581,344,274 with Prime Factorization
| 2 | 209, 473, 581, 344, 274 |
| 11 | 209, 473, 581, 172, 137 |
| 43 | 19, 43, 581, 172, 137 |
| 19, 1, 581, 4, 137 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 43 x 19 x 1 x 581 x 4 x 137 = 5722705912
Therefore, the lowest common multiple of 209,473,581,344,274 is 5722705912.
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.
209 x 473 x 581 x 344 x 274 = 5413679792752
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.
209 : 1, 11, 19, 209
473 : 1, 11, 43, 473
581 : 1, 7, 83, 581
344 : 1, 2, 4, 8, 43, 86, 172, 344
274 : 1, 2, 137, 274
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 209,473,581,344,274, is 1.
Now, the common factors can be found like this.
209:11x 19
473:11x 43
581:7x 83
344:2x 2x 2x 43
274:2x 137
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 11x 43 = 946
Therefore, the value for common factors is 946.
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 = 5413679792752/(1x946)
LCM = 5413679792752/946
LCM = 5722705912
Thus, we can understand that the LCM of 209,473,581,344,274 is 5722705912.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 209, 473, 581, 344, 274
1. What is the LCM of 209, 473, 581, 344, 274?
Answer: LCM of 209, 473, 581, 344, 274 is 5722705912.
2. How to calculate the LCM of 209, 473, 581, 344, 274?
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 209, 473, 581, 344, 274.
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}.