LCM of 921, 896, 711, 846, 902
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 921, 896, 711, 846, 902 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 921, 896, 711, 846, 902. So, keep reading to learn more.
Given numbers are 921,896,711,846,902
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 921,896,711,846,902 is 4145628541824.
Find LCM of 921,896,711,846,902 with Prime Factorization
| 2 | 921, 896, 711, 846, 902 |
| 3 | 921, 448, 711, 423, 451 |
| 3 | 307, 448, 237, 141, 451 |
| 307, 448, 79, 47, 451 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 307 x 448 x 79 x 47 x 451 = 4145628541824
Therefore, the lowest common multiple of 921,896,711,846,902 is 4145628541824.
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.
921 x 896 x 711 x 846 x 902 = 447727882516992
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.
921 : 1, 3, 307, 921
896 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896
711 : 1, 3, 9, 79, 237, 711
846 : 1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846
902 : 1, 2, 11, 22, 41, 82, 451, 902
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 921,896,711,846,902, is 1.
Now, the common factors can be found like this.
921:3x 307
896:2x 2x 2x 2x 2x 2x 2x 7
711:3x 3x 79
846:2x 3x 3x 47
902:2x 11x 41
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 3x 3x 3 = 108
Therefore, the value for common factors is 108.
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 = 447727882516992/(1x108)
LCM = 447727882516992/108
LCM = 4145628541824
Thus, we can understand that the LCM of 921,896,711,846,902 is 4145628541824.
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FAQs on LCM of 921, 896, 711, 846, 902
1. What is the LCM of 921, 896, 711, 846, 902?
Answer: LCM of 921, 896, 711, 846, 902 is 4145628541824.
2. How to calculate the LCM of 921, 896, 711, 846, 902?
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 921, 896, 711, 846, 902.
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}.