LCM of 655, 746, 860, 688
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 655, 746, 860, 688 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 655, 746, 860, 688. So, keep reading to learn more.
Given numbers are 655,746,860,688
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 655,746,860,688 is 168088720.
Find LCM of 655,746,860,688 with Prime Factorization
| 2 | 655, 746, 860, 688 |
| 2 | 655, 373, 430, 344 |
| 5 | 655, 373, 215, 172 |
| 43 | 131, 373, 43, 172 |
| 131, 373, 1, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 43 x 131 x 373 x 1 x 4 = 168088720
Therefore, the lowest common multiple of 655,746,860,688 is 168088720.
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.
655 x 746 x 860 x 688 = 289112598400
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.
655 : 1, 5, 131, 655
746 : 1, 2, 373, 746
860 : 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860
688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 655,746,860,688, is 1.
Now, the common factors can be found like this.
655:5x 131
746:2x 373
860:2x 2x 5x 43
688:2x 2x 2x 2x 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 5x 43 = 1720
Therefore, the value for common factors is 1720.
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 = 289112598400/(1x1720)
LCM = 289112598400/1720
LCM = 168088720
Thus, we can understand that the LCM of 655,746,860,688 is 168088720.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 655, 746, 860, 688
1. What is the LCM of 655, 746, 860, 688?
Answer: LCM of 655, 746, 860, 688 is 168088720.
2. How to calculate the LCM of 655, 746, 860, 688?
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 655, 746, 860, 688.
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}.