LCM of 902, 903, 946, 550
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 902, 903, 946, 550 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, 903, 946, 550. So, keep reading to learn more.
Given numbers are 902,903,946,550
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 902,903,946,550 is 20362650.
Find LCM of 902,903,946,550 with Prime Factorization
| 2 | 902, 903, 946, 550 |
| 11 | 451, 903, 473, 275 |
| 43 | 41, 903, 43, 25 |
| 41, 21, 1, 25 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 43 x 41 x 21 x 1 x 25 = 20362650
Therefore, the lowest common multiple of 902,903,946,550 is 20362650.
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 903 x 946 x 550 = 423787471800
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
903 : 1, 3, 7, 21, 43, 129, 301, 903
946 : 1, 2, 11, 22, 43, 86, 473, 946
550 : 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 902,903,946,550, is 1.
Now, the common factors can be found like this.
902:2x 11x 41
903:3x 7x 43
946:2x 11x 43
550:2x 5x 5x 11
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 11x 11x 43 = 20812
Therefore, the value for common factors is 20812.
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 = 423787471800/(1x20812)
LCM = 423787471800/20812
LCM = 20362650
Thus, we can understand that the LCM of 902,903,946,550 is 20362650.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 902, 903, 946, 550
1. What is the LCM of 902, 903, 946, 550?
Answer: LCM of 902, 903, 946, 550 is 20362650.
2. How to calculate the LCM of 902, 903, 946, 550?
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, 903, 946, 550.
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}.