LCM of 885, 736, 656, 253, 680
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 885, 736, 656, 253, 680 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 885, 736, 656, 253, 680. So, keep reading to learn more.
Given numbers are 885,736,656,253,680
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 885,736,656,253,680 is 4993977120.
Find LCM of 885,736,656,253,680 with Prime Factorization
| 2 | 885, 736, 656, 253, 680 |
| 2 | 885, 368, 328, 253, 340 |
| 2 | 885, 184, 164, 253, 170 |
| 2 | 885, 92, 82, 253, 85 |
| 5 | 885, 46, 41, 253, 85 |
| 23 | 177, 46, 41, 253, 17 |
| 177, 2, 41, 11, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 5 x 23 x 177 x 2 x 41 x 11 x 17 = 4993977120
Therefore, the lowest common multiple of 885,736,656,253,680 is 4993977120.
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.
885 x 736 x 656 x 253 x 680 = 73511343206400
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.
885 : 1, 3, 5, 15, 59, 177, 295, 885
736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
656 : 1, 2, 4, 8, 16, 41, 82, 164, 328, 656
253 : 1, 11, 23, 253
680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 885,736,656,253,680, is 1.
Now, the common factors can be found like this.
885:3x 5x 59
736:2x 2x 2x 2x 2x 23
656:2x 2x 2x 2x 41
253:11x 23
680:2x 2x 2x 5x 17
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 5x 23 = 14720
Therefore, the value for common factors is 14720.
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 = 73511343206400/(1x14720)
LCM = 73511343206400/14720
LCM = 4993977120
Thus, we can understand that the LCM of 885,736,656,253,680 is 4993977120.
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FAQs on LCM of 885, 736, 656, 253, 680
1. What is the LCM of 885, 736, 656, 253, 680?
Answer: LCM of 885, 736, 656, 253, 680 is 4993977120.
2. How to calculate the LCM of 885, 736, 656, 253, 680?
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 885, 736, 656, 253, 680.
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}.