Find the LCM of 948, 734, 794, 625, 628 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 948, 734, 794, 625, 628. So, keep reading to learn more.
Given numbers are 948,734,794,625,628
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 948,734,794,625,628 is 13553285227500.
Find LCM of 948,734,794,625,628 with Prime Factorization
2 | 948, 734, 794, 625, 628 |
2 | 474, 367, 397, 625, 314 |
237, 367, 397, 625, 157 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 237 x 367 x 397 x 625 x 157 = 13553285227500
Therefore, the lowest common multiple of 948,734,794,625,628 is 13553285227500.
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.
948 x 734 x 794 x 625 x 628 = 216852563640000
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.
948 : 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
734 : 1, 2, 367, 734
794 : 1, 2, 397, 794
625 : 1, 5, 25, 125, 625
628 : 1, 2, 4, 157, 314, 628
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 948,734,794,625,628, is 1.
Now, the common factors can be found like this.
948:2x 2x 3x 79
734:2x 367
794:2x 397
625:5x 5x 5x 5
628:2x 2x 157
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 2x 2 = 16
Therefore, the value for common factors is 16.
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 = 216852563640000/(1x16)
LCM = 216852563640000/16
LCM = 13553285227500
Thus, we can understand that the LCM of 948,734,794,625,628 is 13553285227500.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 948, 734, 794, 625, 628?
Answer: LCM of 948, 734, 794, 625, 628 is 13553285227500.
2. How to calculate the LCM of 948, 734, 794, 625, 628?
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 948, 734, 794, 625, 628.
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}.