Find the LCM of 673, 752, 245, 426, 875 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 673, 752, 245, 426, 875. So, keep reading to learn more.
Given numbers are 673,752,245,426,875
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 673,752,245,426,875 is 660265494000.
Find LCM of 673,752,245,426,875 with Prime Factorization
2 | 673, 752, 245, 426, 875 |
5 | 673, 376, 245, 213, 875 |
7 | 673, 376, 49, 213, 175 |
673, 376, 7, 213, 25 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 7 x 673 x 376 x 7 x 213 x 25 = 660265494000
Therefore, the lowest common multiple of 673,752,245,426,875 is 660265494000.
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.
673 x 752 x 245 x 426 x 875 = 46218584580000
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.
673 : 1, 673
752 : 1, 2, 4, 8, 16, 47, 94, 188, 376, 752
245 : 1, 5, 7, 35, 49, 245
426 : 1, 2, 3, 6, 71, 142, 213, 426
875 : 1, 5, 7, 25, 35, 125, 175, 875
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 673,752,245,426,875, is 1.
Now, the common factors can be found like this.
673:673
752:2x 2x 2x 2x 47
245:5x 7x 7
426:2x 3x 71
875:5x 5x 5x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 7 = 70
Therefore, the value for common factors is 70.
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 = 46218584580000/(1x70)
LCM = 46218584580000/70
LCM = 660265494000
Thus, we can understand that the LCM of 673,752,245,426,875 is 660265494000.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 673, 752, 245, 426, 875?
Answer: LCM of 673, 752, 245, 426, 875 is 660265494000.
2. How to calculate the LCM of 673, 752, 245, 426, 875?
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 673, 752, 245, 426, 875.
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}.