LCM of 280, 670, 902, 214
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 280, 670, 902, 214 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 280, 670, 902, 214. So, keep reading to learn more.
Given numbers are 280,670,902,214
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 280,670,902,214 is 905301320.
Find LCM of 280,670,902,214 with Prime Factorization
| 2 | 280, 670, 902, 214 |
| 5 | 140, 335, 451, 107 |
| 28, 67, 451, 107 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 28 x 67 x 451 x 107 = 905301320
Therefore, the lowest common multiple of 280,670,902,214 is 905301320.
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.
280 x 670 x 902 x 214 = 36212052800
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.
280 : 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
670 : 1, 2, 5, 10, 67, 134, 335, 670
902 : 1, 2, 11, 22, 41, 82, 451, 902
214 : 1, 2, 107, 214
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 280,670,902,214, is 2.
Now, the common factors can be found like this.
280:2x 2x 2x 5x 7
670:2x 5x 67
902:2x 11x 41
214:2x 107
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 5 = 20
Therefore, the value for common factors is 20.
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 = 36212052800/(2x20)
LCM = 36212052800/40
LCM = 905301320
Thus, we can understand that the LCM of 280,670,902,214 is 905301320.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 280, 670, 902, 214
1. What is the LCM of 280, 670, 902, 214?
Answer: LCM of 280, 670, 902, 214 is 905301320.
2. How to calculate the LCM of 280, 670, 902, 214?
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 280, 670, 902, 214.
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}.