LCM of 647, 400, 548, 975
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 647, 400, 548, 975 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 647, 400, 548, 975. So, keep reading to learn more.
Given numbers are 647,400,548,975
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 647,400,548,975 is 1382768400.
Find LCM of 647,400,548,975 with Prime Factorization
| 2 | 647, 400, 548, 975 |
| 2 | 647, 200, 274, 975 |
| 5 | 647, 100, 137, 975 |
| 5 | 647, 20, 137, 195 |
| 647, 4, 137, 39 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 5 x 647 x 4 x 137 x 39 = 1382768400
Therefore, the lowest common multiple of 647,400,548,975 is 1382768400.
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.
647 x 400 x 548 x 975 = 138276840000
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.
647 : 1, 647
400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
548 : 1, 2, 4, 137, 274, 548
975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 647,400,548,975, is 1.
Now, the common factors can be found like this.
647:647
400:2x 2x 2x 2x 5x 5
548:2x 2x 137
975:3x 5x 5x 13
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 5x 5 = 100
Therefore, the value for common factors is 100.
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 = 138276840000/(1x100)
LCM = 138276840000/100
LCM = 1382768400
Thus, we can understand that the LCM of 647,400,548,975 is 1382768400.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 647, 400, 548, 975
1. What is the LCM of 647, 400, 548, 975?
Answer: LCM of 647, 400, 548, 975 is 1382768400.
2. How to calculate the LCM of 647, 400, 548, 975?
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 647, 400, 548, 975.
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}.