LCM of 916, 500, 724, 466, 422
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 916, 500, 724, 466, 422 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 916, 500, 724, 466, 422. So, keep reading to learn more.
Given numbers are 916,500,724,466,422
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 916,500,724,466,422 is 1018878593500.
Find LCM of 916,500,724,466,422 with Prime Factorization
| 2 | 916, 500, 724, 466, 422 |
| 2 | 458, 250, 362, 233, 211 |
| 229, 125, 181, 233, 211 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 229 x 125 x 181 x 233 x 211 = 1018878593500
Therefore, the lowest common multiple of 916,500,724,466,422 is 1018878593500.
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.
916 x 500 x 724 x 466 x 422 = 65208229984000
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.
916 : 1, 2, 4, 229, 458, 916
500 : 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500
724 : 1, 2, 4, 181, 362, 724
466 : 1, 2, 233, 466
422 : 1, 2, 211, 422
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 916,500,724,466,422, is 2.
Now, the common factors can be found like this.
916:2x 2x 229
500:2x 2x 5x 5x 5
724:2x 2x 181
466:2x 233
422:2x 211
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 2 = 32
Therefore, the value for common factors is 32.
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 = 65208229984000/(2x32)
LCM = 65208229984000/64
LCM = 1018878593500
Thus, we can understand that the LCM of 916,500,724,466,422 is 1018878593500.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 916, 500, 724, 466, 422
1. What is the LCM of 916, 500, 724, 466, 422?
Answer: LCM of 916, 500, 724, 466, 422 is 1018878593500.
2. How to calculate the LCM of 916, 500, 724, 466, 422?
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 916, 500, 724, 466, 422.
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}.