LCM of 428, 890, 247, 665
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 428, 890, 247, 665 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 428, 890, 247, 665. So, keep reading to learn more.
Given numbers are 428,890,247,665
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 428,890,247,665 is 329305340.
Find LCM of 428,890,247,665 with Prime Factorization
| 2 | 428, 890, 247, 665 |
| 5 | 214, 445, 247, 665 |
| 19 | 214, 89, 247, 133 |
| 214, 89, 13, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 19 x 214 x 89 x 13 x 7 = 329305340
Therefore, the lowest common multiple of 428,890,247,665 is 329305340.
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.
428 x 890 x 247 x 665 = 62568014600
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.
428 : 1, 2, 4, 107, 214, 428
890 : 1, 2, 5, 10, 89, 178, 445, 890
247 : 1, 13, 19, 247
665 : 1, 5, 7, 19, 35, 95, 133, 665
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 428,890,247,665, is 1.
Now, the common factors can be found like this.
428:2x 2x 107
890:2x 5x 89
247:13x 19
665:5x 7x 19
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 19 = 190
Therefore, the value for common factors is 190.
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 = 62568014600/(1x190)
LCM = 62568014600/190
LCM = 329305340
Thus, we can understand that the LCM of 428,890,247,665 is 329305340.
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FAQs on LCM of 428, 890, 247, 665
1. What is the LCM of 428, 890, 247, 665?
Answer: LCM of 428, 890, 247, 665 is 329305340.
2. How to calculate the LCM of 428, 890, 247, 665?
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 428, 890, 247, 665.
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}.