Find the LCM of 315, 950, 173, 626, 893 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 315, 950, 173, 626, 893. So, keep reading to learn more.
Given numbers are 315,950,173,626,893
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 315,950,173,626,893 is 152318429550.
Find LCM of 315,950,173,626,893 with Prime Factorization
2 | 315, 950, 173, 626, 893 |
5 | 315, 475, 173, 313, 893 |
19 | 63, 95, 173, 313, 893 |
63, 5, 173, 313, 47 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 19 x 63 x 5 x 173 x 313 x 47 = 152318429550
Therefore, the lowest common multiple of 315,950,173,626,893 is 152318429550.
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.
315 x 950 x 173 x 626 x 893 = 28940501614500
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.
315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
950 : 1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950
173 : 1, 173
626 : 1, 2, 313, 626
893 : 1, 19, 47, 893
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 315,950,173,626,893, is 1.
Now, the common factors can be found like this.
315:3x 3x 5x 7
950:2x 5x 5x 19
173:173
626:2x 313
893:19x 47
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 19 = 190
Therefore, the value for common factors is 190.
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 = 28940501614500/(1x190)
LCM = 28940501614500/190
LCM = 152318429550
Thus, we can understand that the LCM of 315,950,173,626,893 is 152318429550.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 315, 950, 173, 626, 893?
Answer: LCM of 315, 950, 173, 626, 893 is 152318429550.
2. How to calculate the LCM of 315, 950, 173, 626, 893?
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 315, 950, 173, 626, 893.
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}.