LCM of 683, 680, 888, 392, 615
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 683, 680, 888, 392, 615 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 683, 680, 888, 392, 615. So, keep reading to learn more.
Given numbers are 683,680,888,392,615
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 683,680,888,392,615 is 103569655560.
Find LCM of 683,680,888,392,615 with Prime Factorization
| 2 | 683, 680, 888, 392, 615 |
| 2 | 683, 340, 444, 196, 615 |
| 2 | 683, 170, 222, 98, 615 |
| 3 | 683, 85, 111, 49, 615 |
| 5 | 683, 85, 37, 49, 205 |
| 683, 17, 37, 49, 41 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 683 x 17 x 37 x 49 x 41 = 103569655560
Therefore, the lowest common multiple of 683,680,888,392,615 is 103569655560.
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.
683 x 680 x 888 x 392 x 615 = 99426869337600
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.
683 : 1, 683
680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
888 : 1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888
392 : 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392
615 : 1, 3, 5, 15, 41, 123, 205, 615
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 683,680,888,392,615, is 1.
Now, the common factors can be found like this.
683:683
680:2x 2x 2x 5x 17
888:2x 2x 2x 3x 37
392:2x 2x 2x 7x 7
615:3x 5x 41
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 2x 2x 2x 3x 5 = 960
Therefore, the value for common factors is 960.
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 = 99426869337600/(1x960)
LCM = 99426869337600/960
LCM = 103569655560
Thus, we can understand that the LCM of 683,680,888,392,615 is 103569655560.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 683, 680, 888, 392, 615
1. What is the LCM of 683, 680, 888, 392, 615?
Answer: LCM of 683, 680, 888, 392, 615 is 103569655560.
2. How to calculate the LCM of 683, 680, 888, 392, 615?
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 683, 680, 888, 392, 615.
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}.