LCM of 851, 982, 988, 128, 635
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 851, 982, 988, 128, 635 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 851, 982, 988, 128, 635. So, keep reading to learn more.
Given numbers are 851,982,988,128,635
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 851,982,988,128,635 is 8388642770560.
Find LCM of 851,982,988,128,635 with Prime Factorization
| 2 | 851, 982, 988, 128, 635 |
| 2 | 851, 491, 494, 64, 635 |
| 851, 491, 247, 32, 635 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 851 x 491 x 247 x 32 x 635 = 8388642770560
Therefore, the lowest common multiple of 851,982,988,128,635 is 8388642770560.
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.
851 x 982 x 988 x 128 x 635 = 67109142164480
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.
851 : 1, 23, 37, 851
982 : 1, 2, 491, 982
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
128 : 1, 2, 4, 8, 16, 32, 64, 128
635 : 1, 5, 127, 635
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 851,982,988,128,635, is 1.
Now, the common factors can be found like this.
851:23x 37
982:2x 491
988:2x 2x 13x 19
128:2x 2x 2x 2x 2x 2x 2
635:5x 127
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 2 = 8
Therefore, the value for common factors is 8.
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 = 67109142164480/(1x8)
LCM = 67109142164480/8
LCM = 8388642770560
Thus, we can understand that the LCM of 851,982,988,128,635 is 8388642770560.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 851, 982, 988, 128, 635
1. What is the LCM of 851, 982, 988, 128, 635?
Answer: LCM of 851, 982, 988, 128, 635 is 8388642770560.
2. How to calculate the LCM of 851, 982, 988, 128, 635?
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 851, 982, 988, 128, 635.
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}.