LCM of 688, 312, 268, 247, 860
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 688, 312, 268, 247, 860 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 688, 312, 268, 247, 860. So, keep reading to learn more.
Given numbers are 688,312,268,247,860
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 688,312,268,247,860 is 170785680.
Find LCM of 688,312,268,247,860 with Prime Factorization
| 2 | 688, 312, 268, 247, 860 |
| 2 | 344, 156, 134, 247, 430 |
| 2 | 172, 78, 67, 247, 215 |
| 13 | 86, 39, 67, 247, 215 |
| 43 | 86, 3, 67, 19, 215 |
| 2, 3, 67, 19, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 13 x 43 x 2 x 3 x 67 x 19 x 5 = 170785680
Therefore, the lowest common multiple of 688,312,268,247,860 is 170785680.
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.
688 x 312 x 268 x 247 x 860 = 12220056975360
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.
688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
268 : 1, 2, 4, 67, 134, 268
247 : 1, 13, 19, 247
860 : 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 688,312,268,247,860, is 1.
Now, the common factors can be found like this.
688:2x 2x 2x 2x 43
312:2x 2x 2x 3x 13
268:2x 2x 67
247:13x 19
860:2x 2x 5x 43
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 2x 13x 43 = 71552
Therefore, the value for common factors is 71552.
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 = 12220056975360/(1x71552)
LCM = 12220056975360/71552
LCM = 170785680
Thus, we can understand that the LCM of 688,312,268,247,860 is 170785680.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 688, 312, 268, 247, 860
1. What is the LCM of 688, 312, 268, 247, 860?
Answer: LCM of 688, 312, 268, 247, 860 is 170785680.
2. How to calculate the LCM of 688, 312, 268, 247, 860?
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 688, 312, 268, 247, 860.
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}.