LCM of 851, 126, 882, 979, 602
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 851, 126, 882, 979, 602 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, 126, 882, 979, 602. So, keep reading to learn more.
Given numbers are 851,126,882,979,602
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 851,126,882,979,602 is 31597250454.
Find LCM of 851,126,882,979,602 with Prime Factorization
| 2 | 851, 126, 882, 979, 602 |
| 3 | 851, 63, 441, 979, 301 |
| 3 | 851, 21, 147, 979, 301 |
| 7 | 851, 7, 49, 979, 301 |
| 851, 1, 7, 979, 43 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 7 x 851 x 1 x 7 x 979 x 43 = 31597250454
Therefore, the lowest common multiple of 851,126,882,979,602 is 31597250454.
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 126 x 882 x 979 x 602 = 55737549800856
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
126 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
882 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882
979 : 1, 11, 89, 979
602 : 1, 2, 7, 14, 43, 86, 301, 602
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 851,126,882,979,602, is 1.
Now, the common factors can be found like this.
851:23x 37
126:2x 3x 3x 7
882:2x 3x 3x 7x 7
979:11x 89
602:2x 7x 43
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 7x 7 = 1764
Therefore, the value for common factors is 1764.
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 = 55737549800856/(1x1764)
LCM = 55737549800856/1764
LCM = 31597250454
Thus, we can understand that the LCM of 851,126,882,979,602 is 31597250454.
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FAQs on LCM of 851, 126, 882, 979, 602
1. What is the LCM of 851, 126, 882, 979, 602?
Answer: LCM of 851, 126, 882, 979, 602 is 31597250454.
2. How to calculate the LCM of 851, 126, 882, 979, 602?
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, 126, 882, 979, 602.
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}.