Find the LCM of 318, 725, 991, 675, 630 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 318, 725, 991, 675, 630. So, keep reading to learn more.
Given numbers are 318,725,991,675,630
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 318,725,991,675,630 is 14393928150.
Find LCM of 318,725,991,675,630 with Prime Factorization
2 | 318, 725, 991, 675, 630 |
3 | 159, 725, 991, 675, 315 |
3 | 53, 725, 991, 225, 105 |
5 | 53, 725, 991, 75, 35 |
5 | 53, 145, 991, 15, 7 |
53, 29, 991, 3, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 5 x 53 x 29 x 991 x 3 x 7 = 14393928150
Therefore, the lowest common multiple of 318,725,991,675,630 is 14393928150.
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.
318 x 725 x 991 x 675 x 630 = 97159015012500
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.
318 : 1, 2, 3, 6, 53, 106, 159, 318
725 : 1, 5, 25, 29, 145, 725
991 : 1, 991
675 : 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
630 : 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 318,725,991,675,630, is 1.
Now, the common factors can be found like this.
318:2x 3x 53
725:5x 5x 29
991:991
675:3x 3x 3x 5x 5
630:2x 3x 3x 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 3x 3x 3x 5x 5x 5 = 6750
Therefore, the value for common factors is 6750.
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 = 97159015012500/(1x6750)
LCM = 97159015012500/6750
LCM = 14393928150
Thus, we can understand that the LCM of 318,725,991,675,630 is 14393928150.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 318, 725, 991, 675, 630?
Answer: LCM of 318, 725, 991, 675, 630 is 14393928150.
2. How to calculate the LCM of 318, 725, 991, 675, 630?
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 318, 725, 991, 675, 630.
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}.