Find the LCM of 425, 759, 253, 293 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 425, 759, 253, 293. So, keep reading to learn more.
Given numbers are 425,759,253,293
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 425,759,253,293 is 94514475.
Find LCM of 425,759,253,293 with Prime Factorization
11 | 425, 759, 253, 293 |
23 | 425, 69, 23, 293 |
425, 3, 1, 293 |
Multiply the prime numbers at the bottom and the left side.
11 x 23 x 425 x 3 x 1 x 293 = 94514475
Therefore, the lowest common multiple of 425,759,253,293 is 94514475.
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.
425 x 759 x 253 x 293 = 23912162175
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.
425 : 1, 5, 17, 25, 85, 425
759 : 1, 3, 11, 23, 33, 69, 253, 759
253 : 1, 11, 23, 253
293 : 1, 293
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 425,759,253,293, is 1.
Now, the common factors can be found like this.
425:5x 5x 17
759:3x 11x 23
253:11x 23
293:293
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11x 23 = 253
Therefore, the value for common factors is 253.
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 = 23912162175/(1x253)
LCM = 23912162175/253
LCM = 94514475
Thus, we can understand that the LCM of 425,759,253,293 is 94514475.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 425, 759, 253, 293?
Answer: LCM of 425, 759, 253, 293 is 94514475.
2. How to calculate the LCM of 425, 759, 253, 293?
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 425, 759, 253, 293.
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}.