LCM of 794, 147, 525, 112, 807
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 794, 147, 525, 112, 807 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 794, 147, 525, 112, 807. So, keep reading to learn more.
Given numbers are 794,147,525,112,807
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 794,147,525,112,807 is 6279428400.
Find LCM of 794,147,525,112,807 with Prime Factorization
| 2 | 794, 147, 525, 112, 807 |
| 3 | 397, 147, 525, 56, 807 |
| 7 | 397, 49, 175, 56, 269 |
| 397, 7, 25, 8, 269 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 397 x 7 x 25 x 8 x 269 = 6279428400
Therefore, the lowest common multiple of 794,147,525,112,807 is 6279428400.
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.
794 x 147 x 525 x 112 x 807 = 5538455848800
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.
794 : 1, 2, 397, 794
147 : 1, 3, 7, 21, 49, 147
525 : 1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525
112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112
807 : 1, 3, 269, 807
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 794,147,525,112,807, is 1.
Now, the common factors can be found like this.
794:2x 397
147:3x 7x 7
525:3x 5x 5x 7
112:2x 2x 2x 2x 7
807:3x 269
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 7x 7 = 882
Therefore, the value for common factors is 882.
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 = 5538455848800/(1x882)
LCM = 5538455848800/882
LCM = 6279428400
Thus, we can understand that the LCM of 794,147,525,112,807 is 6279428400.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 794, 147, 525, 112, 807
1. What is the LCM of 794, 147, 525, 112, 807?
Answer: LCM of 794, 147, 525, 112, 807 is 6279428400.
2. How to calculate the LCM of 794, 147, 525, 112, 807?
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 794, 147, 525, 112, 807.
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}.