LCM of 844, 931, 898, 700, 969
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 844, 931, 898, 700, 969 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 844, 931, 898, 700, 969. So, keep reading to learn more.
Given numbers are 844,931,898,700,969
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 844,931,898,700,969 is 449830245900.
Find LCM of 844,931,898,700,969 with Prime Factorization
| 2 | 844, 931, 898, 700, 969 |
| 2 | 422, 931, 449, 350, 969 |
| 7 | 211, 931, 449, 175, 969 |
| 19 | 211, 133, 449, 25, 969 |
| 211, 7, 449, 25, 51 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 19 x 211 x 7 x 449 x 25 x 51 = 449830245900
Therefore, the lowest common multiple of 844,931,898,700,969 is 449830245900.
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.
844 x 931 x 898 x 700 x 969 = 478619381637600
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.
844 : 1, 2, 4, 211, 422, 844
931 : 1, 7, 19, 49, 133, 931
898 : 1, 2, 449, 898
700 : 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700
969 : 1, 3, 17, 19, 51, 57, 323, 969
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 844,931,898,700,969, is 1.
Now, the common factors can be found like this.
844:2x 2x 211
931:7x 7x 19
898:2x 449
700:2x 2x 5x 5x 7
969:3x 17x 19
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 7x 19 = 1064
Therefore, the value for common factors is 1064.
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 = 478619381637600/(1x1064)
LCM = 478619381637600/1064
LCM = 449830245900
Thus, we can understand that the LCM of 844,931,898,700,969 is 449830245900.
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FAQs on LCM of 844, 931, 898, 700, 969
1. What is the LCM of 844, 931, 898, 700, 969?
Answer: LCM of 844, 931, 898, 700, 969 is 449830245900.
2. How to calculate the LCM of 844, 931, 898, 700, 969?
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 844, 931, 898, 700, 969.
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}.