Find the LCM of 975, 865, 624, 682, 668 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 975, 865, 624, 682, 668. So, keep reading to learn more.
Given numbers are 975,865,624,682,668
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 975,865,624,682,668 is 153688563600.
Find LCM of 975,865,624,682,668 with Prime Factorization
2 | 975, 865, 624, 682, 668 |
2 | 975, 865, 312, 341, 334 |
3 | 975, 865, 156, 341, 167 |
5 | 325, 865, 52, 341, 167 |
13 | 65, 173, 52, 341, 167 |
5, 173, 4, 341, 167 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 13 x 5 x 173 x 4 x 341 x 167 = 153688563600
Therefore, the lowest common multiple of 975,865,624,682,668 is 153688563600.
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.
975 x 865 x 624 x 682 x 668 = 239754159216000
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.
975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
865 : 1, 5, 173, 865
624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
682 : 1, 2, 11, 22, 31, 62, 341, 682
668 : 1, 2, 4, 167, 334, 668
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 975,865,624,682,668, is 1.
Now, the common factors can be found like this.
975:3x 5x 5x 13
865:5x 173
624:2x 2x 2x 2x 3x 13
682:2x 11x 31
668:2x 2x 167
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 3x 5x 13 = 1560
Therefore, the value for common factors is 1560.
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 = 239754159216000/(1x1560)
LCM = 239754159216000/1560
LCM = 153688563600
Thus, we can understand that the LCM of 975,865,624,682,668 is 153688563600.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 975, 865, 624, 682, 668?
Answer: LCM of 975, 865, 624, 682, 668 is 153688563600.
2. How to calculate the LCM of 975, 865, 624, 682, 668?
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 975, 865, 624, 682, 668.
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}.