LCM of 312, 160, 140, 628, 868
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 312, 160, 140, 628, 868 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 312, 160, 140, 628, 868. So, keep reading to learn more.
Given numbers are 312,160,140,628,868
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 312,160,140,628,868 is 212590560.
Find LCM of 312,160,140,628,868 with Prime Factorization
| 2 | 312, 160, 140, 628, 868 |
| 2 | 156, 80, 70, 314, 434 |
| 2 | 78, 40, 35, 157, 217 |
| 5 | 39, 20, 35, 157, 217 |
| 7 | 39, 4, 7, 157, 217 |
| 39, 4, 1, 157, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 7 x 39 x 4 x 1 x 157 x 31 = 212590560
Therefore, the lowest common multiple of 312,160,140,628,868 is 212590560.
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.
312 x 160 x 140 x 628 x 868 = 3809622835200
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.
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
160 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160
140 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
628 : 1, 2, 4, 157, 314, 628
868 : 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868
4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 312,160,140,628,868, is 4.
Now, the common factors can be found like this.
312:2x 2x 2x 3x 13
160:2x 2x 2x 2x 2x 5
140:2x 2x 5x 7
628:2x 2x 157
868:2x 2x 7x 31
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 2x 2x 2x 2x 5x 7 = 4480
Therefore, the value for common factors is 4480.
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 = 3809622835200/(4x4480)
LCM = 3809622835200/17920
LCM = 212590560
Thus, we can understand that the LCM of 312,160,140,628,868 is 212590560.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 312, 160, 140, 628, 868
1. What is the LCM of 312, 160, 140, 628, 868?
Answer: LCM of 312, 160, 140, 628, 868 is 212590560.
2. How to calculate the LCM of 312, 160, 140, 628, 868?
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 312, 160, 140, 628, 868.
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}.