LCM of 433, 847, 814, 574, 627
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 433, 847, 814, 574, 627 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 433, 847, 814, 574, 627. So, keep reading to learn more.
Given numbers are 433,847,814,574,627
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 433,847,814,574,627 is 63425184438.
Find LCM of 433,847,814,574,627 with Prime Factorization
| 2 | 433, 847, 814, 574, 627 |
| 7 | 433, 847, 407, 287, 627 |
| 11 | 433, 121, 407, 41, 627 |
| 433, 11, 37, 41, 57 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 11 x 433 x 11 x 37 x 41 x 57 = 63425184438
Therefore, the lowest common multiple of 433,847,814,574,627 is 63425184438.
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.
433 x 847 x 814 x 574 x 627 = 107442262437972
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.
433 : 1, 433
847 : 1, 7, 11, 77, 121, 847
814 : 1, 2, 11, 22, 37, 74, 407, 814
574 : 1, 2, 7, 14, 41, 82, 287, 574
627 : 1, 3, 11, 19, 33, 57, 209, 627
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 433,847,814,574,627, is 1.
Now, the common factors can be found like this.
433:433
847:7x 11x 11
814:2x 11x 37
574:2x 7x 41
627:3x 11x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 7x 11x 11 = 1694
Therefore, the value for common factors is 1694.
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 = 107442262437972/(1x1694)
LCM = 107442262437972/1694
LCM = 63425184438
Thus, we can understand that the LCM of 433,847,814,574,627 is 63425184438.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 433, 847, 814, 574, 627
1. What is the LCM of 433, 847, 814, 574, 627?
Answer: LCM of 433, 847, 814, 574, 627 is 63425184438.
2. How to calculate the LCM of 433, 847, 814, 574, 627?
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 433, 847, 814, 574, 627.
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}.