LCM of 667, 690, 142, 315
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 667, 690, 142, 315 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 667, 690, 142, 315. So, keep reading to learn more.
Given numbers are 667,690,142,315
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 667,690,142,315 is 29834910.
Find LCM of 667,690,142,315 with Prime Factorization
| 2 | 667, 690, 142, 315 |
| 3 | 667, 345, 71, 315 |
| 5 | 667, 115, 71, 105 |
| 23 | 667, 23, 71, 21 |
| 29, 1, 71, 21 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 23 x 29 x 1 x 71 x 21 = 29834910
Therefore, the lowest common multiple of 667,690,142,315 is 29834910.
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.
667 x 690 x 142 x 315 = 20586087900
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.
667 : 1, 23, 29, 667
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
142 : 1, 2, 71, 142
315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 667,690,142,315, is 1.
Now, the common factors can be found like this.
667:23x 29
690:2x 3x 5x 23
142:2x 71
315:3x 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 5x 23 = 690
Therefore, the value for common factors is 690.
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 = 20586087900/(1x690)
LCM = 20586087900/690
LCM = 29834910
Thus, we can understand that the LCM of 667,690,142,315 is 29834910.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 667, 690, 142, 315
1. What is the LCM of 667, 690, 142, 315?
Answer: LCM of 667, 690, 142, 315 is 29834910.
2. How to calculate the LCM of 667, 690, 142, 315?
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 667, 690, 142, 315.
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}.