Find the LCM of 295, 118, 950, 741 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 295, 118, 950, 741. So, keep reading to learn more.
Given numbers are 295,118,950,741
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 295,118,950,741 is 2185950.
Find LCM of 295,118,950,741 with Prime Factorization
2 | 295, 118, 950, 741 |
5 | 295, 59, 475, 741 |
19 | 59, 59, 95, 741 |
59 | 59, 59, 5, 39 |
1, 1, 5, 39 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 19 x 59 x 1 x 1 x 5 x 39 = 2185950
Therefore, the lowest common multiple of 295,118,950,741 is 2185950.
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.
295 x 118 x 950 x 741 = 24504499500
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.
295 : 1, 5, 59, 295
118 : 1, 2, 59, 118
950 : 1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950
741 : 1, 3, 13, 19, 39, 57, 247, 741
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 295,118,950,741, is 1.
Now, the common factors can be found like this.
295:5x 59
118:2x 59
950:2x 5x 5x 19
741:3x 13x 19
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 19x 59 = 11210
Therefore, the value for common factors is 11210.
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 = 24504499500/(1x11210)
LCM = 24504499500/11210
LCM = 2185950
Thus, we can understand that the LCM of 295,118,950,741 is 2185950.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 295, 118, 950, 741?
Answer: LCM of 295, 118, 950, 741 is 2185950.
2. How to calculate the LCM of 295, 118, 950, 741?
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 295, 118, 950, 741.
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}.