LCM of 667, 435, 230, 880
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 667, 435, 230, 880 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, 435, 230, 880. So, keep reading to learn more.
Given numbers are 667,435,230,880
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 667,435,230,880 is 1760880.
Find LCM of 667,435,230,880 with Prime Factorization
| 2 | 667, 435, 230, 880 |
| 5 | 667, 435, 115, 440 |
| 23 | 667, 87, 23, 88 |
| 29 | 29, 87, 1, 88 |
| 1, 3, 1, 88 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 23 x 29 x 1 x 3 x 1 x 88 = 1760880
Therefore, the lowest common multiple of 667,435,230,880 is 1760880.
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 435 x 230 x 880 = 58725348000
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
435 : 1, 3, 5, 15, 29, 87, 145, 435
230 : 1, 2, 5, 10, 23, 46, 115, 230
880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 667,435,230,880, is 1.
Now, the common factors can be found like this.
667:23x 29
435:3x 5x 29
230:2x 5x 23
880:2x 2x 2x 2x 5x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 5x 23x 29 = 33350
Therefore, the value for common factors is 33350.
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 = 58725348000/(1x33350)
LCM = 58725348000/33350
LCM = 1760880
Thus, we can understand that the LCM of 667,435,230,880 is 1760880.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 667, 435, 230, 880
1. What is the LCM of 667, 435, 230, 880?
Answer: LCM of 667, 435, 230, 880 is 1760880.
2. How to calculate the LCM of 667, 435, 230, 880?
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, 435, 230, 880.
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}.