LCM of 715, 220, 209, 282
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 715, 220, 209, 282 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 715, 220, 209, 282. So, keep reading to learn more.
Given numbers are 715,220,209,282
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 715,220,209,282 is 7661940.
Find LCM of 715,220,209,282 with Prime Factorization
| 2 | 715, 220, 209, 282 |
| 5 | 715, 110, 209, 141 |
| 11 | 143, 22, 209, 141 |
| 13, 2, 19, 141 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 11 x 13 x 2 x 19 x 141 = 7661940
Therefore, the lowest common multiple of 715,220,209,282 is 7661940.
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.
715 x 220 x 209 x 282 = 9270947400
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.
715 : 1, 5, 11, 13, 55, 65, 143, 715
220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
209 : 1, 11, 19, 209
282 : 1, 2, 3, 6, 47, 94, 141, 282
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 715,220,209,282, is 1.
Now, the common factors can be found like this.
715:5x 11x 13
220:2x 2x 5x 11
209:11x 19
282:2x 3x 47
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 11x 11 = 1210
Therefore, the value for common factors is 1210.
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 = 9270947400/(1x1210)
LCM = 9270947400/1210
LCM = 7661940
Thus, we can understand that the LCM of 715,220,209,282 is 7661940.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 715, 220, 209, 282
1. What is the LCM of 715, 220, 209, 282?
Answer: LCM of 715, 220, 209, 282 is 7661940.
2. How to calculate the LCM of 715, 220, 209, 282?
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 715, 220, 209, 282.
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}.