LCM of 362, 715, 209, 416
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 362, 715, 209, 416 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 362, 715, 209, 416. So, keep reading to learn more.
Given numbers are 362,715,209,416
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 362,715,209,416 is 78684320.
Find LCM of 362,715,209,416 with Prime Factorization
| 2 | 362, 715, 209, 416 |
| 11 | 181, 715, 209, 208 |
| 13 | 181, 65, 19, 208 |
| 181, 5, 19, 16 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 13 x 181 x 5 x 19 x 16 = 78684320
Therefore, the lowest common multiple of 362,715,209,416 is 78684320.
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.
362 x 715 x 209 x 416 = 22503715520
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.
362 : 1, 2, 181, 362
715 : 1, 5, 11, 13, 55, 65, 143, 715
209 : 1, 11, 19, 209
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 362,715,209,416, is 1.
Now, the common factors can be found like this.
362:2x 181
715:5x 11x 13
209:11x 19
416:2x 2x 2x 2x 2x 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 11x 13 = 286
Therefore, the value for common factors is 286.
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 = 22503715520/(1x286)
LCM = 22503715520/286
LCM = 78684320
Thus, we can understand that the LCM of 362,715,209,416 is 78684320.
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FAQs on LCM of 362, 715, 209, 416
1. What is the LCM of 362, 715, 209, 416?
Answer: LCM of 362, 715, 209, 416 is 78684320.
2. How to calculate the LCM of 362, 715, 209, 416?
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 362, 715, 209, 416.
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}.