LCM of 387, 209, 627, 780
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 387, 209, 627, 780 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 387, 209, 627, 780. So, keep reading to learn more.
Given numbers are 387,209,627,780
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 387,209,627,780 is 21029580.
Find LCM of 387,209,627,780 with Prime Factorization
| 3 | 387, 209, 627, 780 |
| 11 | 129, 209, 209, 260 |
| 19 | 129, 19, 19, 260 |
| 129, 1, 1, 260 |
Multiply the prime numbers at the bottom and the left side.
3 x 11 x 19 x 129 x 1 x 1 x 260 = 21029580
Therefore, the lowest common multiple of 387,209,627,780 is 21029580.
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.
387 x 209 x 627 x 780 = 39556639980
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.
387 : 1, 3, 9, 43, 129, 387
209 : 1, 11, 19, 209
627 : 1, 3, 11, 19, 33, 57, 209, 627
780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 387,209,627,780, is 1.
Now, the common factors can be found like this.
387:3x 3x 43
209:11x 19
627:3x 11x 19
780:2x 2x 3x 5x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 11x 19 = 1881
Therefore, the value for common factors is 1881.
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 = 39556639980/(1x1881)
LCM = 39556639980/1881
LCM = 21029580
Thus, we can understand that the LCM of 387,209,627,780 is 21029580.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 387, 209, 627, 780
1. What is the LCM of 387, 209, 627, 780?
Answer: LCM of 387, 209, 627, 780 is 21029580.
2. How to calculate the LCM of 387, 209, 627, 780?
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 387, 209, 627, 780.
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}.