LCM of 902, 893, 692, 392, 256
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 902, 893, 692, 392, 256 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, 893, 692, 392, 256. So, keep reading to learn more.
Given numbers are 902,893,692,392,256
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 902,893,692,392,256 is 873997417216.
Find LCM of 902,893,692,392,256 with Prime Factorization
| 2 | 902, 893, 692, 392, 256 |
| 2 | 451, 893, 346, 196, 128 |
| 2 | 451, 893, 173, 98, 64 |
| 451, 893, 173, 49, 32 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 451 x 893 x 173 x 49 x 32 = 873997417216
Therefore, the lowest common multiple of 902,893,692,392,256 is 873997417216.
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 893 x 692 x 392 x 256 = 55935834701824
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
893 : 1, 19, 47, 893
692 : 1, 2, 4, 173, 346, 692
392 : 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392
256 : 1, 2, 4, 8, 16, 32, 64, 128, 256
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 902,893,692,392,256, is 1.
Now, the common factors can be found like this.
902:2x 11x 41
893:19x 47
692:2x 2x 173
392:2x 2x 2x 7x 7
256:2x 2x 2x 2x 2x 2x 2x 2
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 2 = 64
Therefore, the value for common factors is 64.
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 = 55935834701824/(1x64)
LCM = 55935834701824/64
LCM = 873997417216
Thus, we can understand that the LCM of 902,893,692,392,256 is 873997417216.
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FAQs on LCM of 902, 893, 692, 392, 256
1. What is the LCM of 902, 893, 692, 392, 256?
Answer: LCM of 902, 893, 692, 392, 256 is 873997417216.
2. How to calculate the LCM of 902, 893, 692, 392, 256?
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, 893, 692, 392, 256.
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}.