LCM of 902, 564, 836, 918, 850
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 902, 564, 836, 918, 850 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 902, 564, 836, 918, 850. So, keep reading to learn more.
Given numbers are 902,564,836,918,850
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 902,564,836,918,850 is 18485903700.
Find LCM of 902,564,836,918,850 with Prime Factorization
| 2 | 902, 564, 836, 918, 850 |
| 2 | 451, 282, 418, 459, 425 |
| 3 | 451, 141, 209, 459, 425 |
| 11 | 451, 47, 209, 153, 425 |
| 17 | 41, 47, 19, 153, 425 |
| 41, 47, 19, 9, 25 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 17 x 41 x 47 x 19 x 9 x 25 = 18485903700
Therefore, the lowest common multiple of 902,564,836,918,850 is 18485903700.
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.
902 x 564 x 836 x 918 x 850 = 331858943222400
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.
902 : 1, 2, 11, 22, 41, 82, 451, 902
564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
918 : 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
850 : 1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 902,564,836,918,850, is 2.
Now, the common factors can be found like this.
902:2x 11x 41
564:2x 2x 3x 47
836:2x 2x 11x 19
918:2x 3x 3x 3x 17
850:2x 5x 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 3x 11x 17 = 8976
Therefore, the value for common factors is 8976.
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 = 331858943222400/(2x8976)
LCM = 331858943222400/17952
LCM = 18485903700
Thus, we can understand that the LCM of 902,564,836,918,850 is 18485903700.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 902, 564, 836, 918, 850
1. What is the LCM of 902, 564, 836, 918, 850?
Answer: LCM of 902, 564, 836, 918, 850 is 18485903700.
2. How to calculate the LCM of 902, 564, 836, 918, 850?
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 902, 564, 836, 918, 850.
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}.