LCM of 670, 976, 920, 900
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 670, 976, 920, 900 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 670, 976, 920, 900. So, keep reading to learn more.
Given numbers are 670,976,920,900
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 670,976,920,900 is 338403600.
Find LCM of 670,976,920,900 with Prime Factorization
| 2 | 670, 976, 920, 900 |
| 2 | 335, 488, 460, 450 |
| 2 | 335, 244, 230, 225 |
| 5 | 335, 122, 115, 225 |
| 67, 122, 23, 45 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 67 x 122 x 23 x 45 = 338403600
Therefore, the lowest common multiple of 670,976,920,900 is 338403600.
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.
670 x 976 x 920 x 900 = 541445760000
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.
670 : 1, 2, 5, 10, 67, 134, 335, 670
976 : 1, 2, 4, 8, 16, 61, 122, 244, 488, 976
920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 670,976,920,900, is 2.
Now, the common factors can be found like this.
670:2x 5x 67
976:2x 2x 2x 2x 61
920:2x 2x 2x 5x 23
900:2x 2x 3x 3x 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 2x 2x 5x 5 = 800
Therefore, the value for common factors is 800.
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 = 541445760000/(2x800)
LCM = 541445760000/1600
LCM = 338403600
Thus, we can understand that the LCM of 670,976,920,900 is 338403600.
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FAQs on LCM of 670, 976, 920, 900
1. What is the LCM of 670, 976, 920, 900?
Answer: LCM of 670, 976, 920, 900 is 338403600.
2. How to calculate the LCM of 670, 976, 920, 900?
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 670, 976, 920, 900.
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}.