LCM of 113, 802, 662, 913, 147
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 113, 802, 662, 913, 147 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 113, 802, 662, 913, 147. So, keep reading to learn more.
Given numbers are 113,802,662,913,147
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 113,802,662,913,147 is 4025955014466.
Find LCM of 113,802,662,913,147 with Prime Factorization
| 2 | 113, 802, 662, 913, 147 |
| 113, 401, 331, 913, 147 |
Multiply the prime numbers at the bottom and the left side.
2 x 113 x 401 x 331 x 913 x 147 = 4025955014466
Therefore, the lowest common multiple of 113,802,662,913,147 is 4025955014466.
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.
113 x 802 x 662 x 913 x 147 = 8051910028932
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.
113 : 1, 113
802 : 1, 2, 401, 802
662 : 1, 2, 331, 662
913 : 1, 11, 83, 913
147 : 1, 3, 7, 21, 49, 147
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 113,802,662,913,147, is 1.
Now, the common factors can be found like this.
113:113
802:2x 401
662:2x 331
913:11x 83
147:3x 7x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2 = 2
Therefore, the value for common factors is 2.
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 = 8051910028932/(1x2)
LCM = 8051910028932/2
LCM = 4025955014466
Thus, we can understand that the LCM of 113,802,662,913,147 is 4025955014466.
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FAQs on LCM of 113, 802, 662, 913, 147
1. What is the LCM of 113, 802, 662, 913, 147?
Answer: LCM of 113, 802, 662, 913, 147 is 4025955014466.
2. How to calculate the LCM of 113, 802, 662, 913, 147?
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 113, 802, 662, 913, 147.
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}.