LCM of 967, 680, 705, 400
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 967, 680, 705, 400 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 967, 680, 705, 400. So, keep reading to learn more.
Given numbers are 967,680,705,400
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 967,680,705,400 is 927159600.
Find LCM of 967,680,705,400 with Prime Factorization
| 2 | 967, 680, 705, 400 |
| 2 | 967, 340, 705, 200 |
| 2 | 967, 170, 705, 100 |
| 5 | 967, 85, 705, 50 |
| 967, 17, 141, 10 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 967 x 17 x 141 x 10 = 927159600
Therefore, the lowest common multiple of 967,680,705,400 is 927159600.
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.
967 x 680 x 705 x 400 = 185431920000
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.
967 : 1, 967
680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
705 : 1, 3, 5, 15, 47, 141, 235, 705
400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 967,680,705,400, is 1.
Now, the common factors can be found like this.
967:967
680:2x 2x 2x 5x 17
705:3x 5x 47
400:2x 2x 2x 2x 5x 5
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 5x 5 = 200
Therefore, the value for common factors is 200.
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 = 185431920000/(1x200)
LCM = 185431920000/200
LCM = 927159600
Thus, we can understand that the LCM of 967,680,705,400 is 927159600.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 967, 680, 705, 400
1. What is the LCM of 967, 680, 705, 400?
Answer: LCM of 967, 680, 705, 400 is 927159600.
2. How to calculate the LCM of 967, 680, 705, 400?
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 967, 680, 705, 400.
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}.