LCM of 367, 677, 473, 330, 549
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 367, 677, 473, 330, 549 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 367, 677, 473, 330, 549. So, keep reading to learn more.
Given numbers are 367,677,473,330,549
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 367,677,473,330,549 is 645190877430.
Find LCM of 367,677,473,330,549 with Prime Factorization
| 3 | 367, 677, 473, 330, 549 |
| 11 | 367, 677, 473, 110, 183 |
| 367, 677, 43, 10, 183 |
Multiply the prime numbers at the bottom and the left side.
3 x 11 x 367 x 677 x 43 x 10 x 183 = 645190877430
Therefore, the lowest common multiple of 367,677,473,330,549 is 645190877430.
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.
367 x 677 x 473 x 330 x 549 = 21291298955190
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.
367 : 1, 367
677 : 1, 677
473 : 1, 11, 43, 473
330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
549 : 1, 3, 9, 61, 183, 549
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 367,677,473,330,549, is 1.
Now, the common factors can be found like this.
367:367
677:677
473:11x 43
330:2x 3x 5x 11
549:3x 3x 61
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 11 = 33
Therefore, the value for common factors is 33.
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 = 21291298955190/(1x33)
LCM = 21291298955190/33
LCM = 645190877430
Thus, we can understand that the LCM of 367,677,473,330,549 is 645190877430.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 367, 677, 473, 330, 549
1. What is the LCM of 367, 677, 473, 330, 549?
Answer: LCM of 367, 677, 473, 330, 549 is 645190877430.
2. How to calculate the LCM of 367, 677, 473, 330, 549?
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 367, 677, 473, 330, 549.
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}.