LCM of 780, 188, 715, 242
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 780, 188, 715, 242 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 780, 188, 715, 242. So, keep reading to learn more.
Given numbers are 780,188,715,242
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 780,188,715,242 is 4435860.
Find LCM of 780,188,715,242 with Prime Factorization
| 2 | 780, 188, 715, 242 |
| 2 | 390, 94, 715, 121 |
| 5 | 195, 47, 715, 121 |
| 11 | 39, 47, 143, 121 |
| 13 | 39, 47, 13, 11 |
| 3, 47, 1, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 11 x 13 x 3 x 47 x 1 x 11 = 4435860
Therefore, the lowest common multiple of 780,188,715,242 is 4435860.
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.
780 x 188 x 715 x 242 = 25373119200
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.
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
188 : 1, 2, 4, 47, 94, 188
715 : 1, 5, 11, 13, 55, 65, 143, 715
242 : 1, 2, 11, 22, 121, 242
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 780,188,715,242, is 1.
Now, the common factors can be found like this.
780:2x 2x 3x 5x 13
188:2x 2x 47
715:5x 11x 13
242:2x 11x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 5x 11x 13 = 5720
Therefore, the value for common factors is 5720.
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 = 25373119200/(1x5720)
LCM = 25373119200/5720
LCM = 4435860
Thus, we can understand that the LCM of 780,188,715,242 is 4435860.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 780, 188, 715, 242
1. What is the LCM of 780, 188, 715, 242?
Answer: LCM of 780, 188, 715, 242 is 4435860.
2. How to calculate the LCM of 780, 188, 715, 242?
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 780, 188, 715, 242.
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}.