Find the LCM of 295, 756, 175, 644 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, 756, 175, 644. So, keep reading to learn more.
Given numbers are 295,756,175,644
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 295,756,175,644 is 25647300.
Find LCM of 295,756,175,644 with Prime Factorization
2 | 295, 756, 175, 644 |
2 | 295, 378, 175, 322 |
5 | 295, 189, 175, 161 |
7 | 59, 189, 35, 161 |
59, 27, 5, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 7 x 59 x 27 x 5 x 23 = 25647300
Therefore, the lowest common multiple of 295,756,175,644 is 25647300.
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 756 x 175 x 644 = 25134354000
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
756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
175 : 1, 5, 7, 25, 35, 175
644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 295,756,175,644, is 1.
Now, the common factors can be found like this.
295:5x 59
756:2x 2x 3x 3x 3x 7
175:5x 5x 7
644:2x 2x 7x 23
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 5x 7x 7 = 980
Therefore, the value for common factors is 980.
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 = 25134354000/(1x980)
LCM = 25134354000/980
LCM = 25647300
Thus, we can understand that the LCM of 295,756,175,644 is 25647300.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 295, 756, 175, 644?
Answer: LCM of 295, 756, 175, 644 is 25647300.
2. How to calculate the LCM of 295, 756, 175, 644?
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, 756, 175, 644.
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}.