LCM of 687, 610, 853, 956, 915
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 687, 610, 853, 956, 915 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 687, 610, 853, 956, 915. So, keep reading to learn more.
Given numbers are 687,610,853,956,915
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 687,610,853,956,915 is 170869087380.
Find LCM of 687,610,853,956,915 with Prime Factorization
| 2 | 687, 610, 853, 956, 915 |
| 3 | 687, 305, 853, 478, 915 |
| 5 | 229, 305, 853, 478, 305 |
| 61 | 229, 61, 853, 478, 61 |
| 229, 1, 853, 478, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 61 x 229 x 1 x 853 x 478 x 1 = 170869087380
Therefore, the lowest common multiple of 687,610,853,956,915 is 170869087380.
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.
687 x 610 x 853 x 956 x 915 = 312690429905400
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.
687 : 1, 3, 229, 687
610 : 1, 2, 5, 10, 61, 122, 305, 610
853 : 1, 853
956 : 1, 2, 4, 239, 478, 956
915 : 1, 3, 5, 15, 61, 183, 305, 915
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 687,610,853,956,915, is 1.
Now, the common factors can be found like this.
687:3x 229
610:2x 5x 61
853:853
956:2x 2x 239
915:3x 5x 61
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 5x 61 = 1830
Therefore, the value for common factors is 1830.
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 = 312690429905400/(1x1830)
LCM = 312690429905400/1830
LCM = 170869087380
Thus, we can understand that the LCM of 687,610,853,956,915 is 170869087380.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 687, 610, 853, 956, 915
1. What is the LCM of 687, 610, 853, 956, 915?
Answer: LCM of 687, 610, 853, 956, 915 is 170869087380.
2. How to calculate the LCM of 687, 610, 853, 956, 915?
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 687, 610, 853, 956, 915.
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}.