LCM of 433, 117, 558, 709, 637
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 433, 117, 558, 709, 637 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, 117, 558, 709, 637. So, keep reading to learn more.
Given numbers are 433,117,558,709,637
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 433,117,558,709,637 is 109120855662.
Find LCM of 433,117,558,709,637 with Prime Factorization
| 3 | 433, 117, 558, 709, 637 |
| 3 | 433, 39, 186, 709, 637 |
| 13 | 433, 13, 62, 709, 637 |
| 433, 1, 62, 709, 49 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 13 x 433 x 1 x 62 x 709 x 49 = 109120855662
Therefore, the lowest common multiple of 433,117,558,709,637 is 109120855662.
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 117 x 558 x 709 x 637 = 12767140112454
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
117 : 1, 3, 9, 13, 39, 117
558 : 1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558
709 : 1, 709
637 : 1, 7, 13, 49, 91, 637
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 433,117,558,709,637, is 1.
Now, the common factors can be found like this.
433:433
117:3x 3x 13
558:2x 3x 3x 31
709:709
637:7x 7x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 13 = 117
Therefore, the value for common factors is 117.
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 = 12767140112454/(1x117)
LCM = 12767140112454/117
LCM = 109120855662
Thus, we can understand that the LCM of 433,117,558,709,637 is 109120855662.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 433, 117, 558, 709, 637
1. What is the LCM of 433, 117, 558, 709, 637?
Answer: LCM of 433, 117, 558, 709, 637 is 109120855662.
2. How to calculate the LCM of 433, 117, 558, 709, 637?
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, 117, 558, 709, 637.
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}.