LCM of 460, 113, 991, 452, 371
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 460, 113, 991, 452, 371 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 460, 113, 991, 452, 371. So, keep reading to learn more.
Given numbers are 460,113,991,452,371
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 460,113,991,452,371 is 19111018780.
Find LCM of 460,113,991,452,371 with Prime Factorization
| 2 | 460, 113, 991, 452, 371 |
| 2 | 230, 113, 991, 226, 371 |
| 113 | 115, 113, 991, 113, 371 |
| 115, 1, 991, 1, 371 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 113 x 115 x 1 x 991 x 1 x 371 = 19111018780
Therefore, the lowest common multiple of 460,113,991,452,371 is 19111018780.
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.
460 x 113 x 991 x 452 x 371 = 8638180488560
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.
460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
113 : 1, 113
991 : 1, 991
452 : 1, 2, 4, 113, 226, 452
371 : 1, 7, 53, 371
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,113,991,452,371, is 1.
Now, the common factors can be found like this.
460:2x 2x 5x 23
113:113
991:991
452:2x 2x 113
371:7x 53
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 113 = 452
Therefore, the value for common factors is 452.
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 = 8638180488560/(1x452)
LCM = 8638180488560/452
LCM = 19111018780
Thus, we can understand that the LCM of 460,113,991,452,371 is 19111018780.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 460, 113, 991, 452, 371
1. What is the LCM of 460, 113, 991, 452, 371?
Answer: LCM of 460, 113, 991, 452, 371 is 19111018780.
2. How to calculate the LCM of 460, 113, 991, 452, 371?
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 460, 113, 991, 452, 371.
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}.