LCM of 428, 931, 300, 861, 663
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 428, 931, 300, 861, 663 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, 931, 300, 861, 663. So, keep reading to learn more.
Given numbers are 428,931,300,861,663
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 428,931,300,861,663 is 270788891100.
Find LCM of 428,931,300,861,663 with Prime Factorization
| 2 | 428, 931, 300, 861, 663 |
| 2 | 214, 931, 150, 861, 663 |
| 3 | 107, 931, 75, 861, 663 |
| 7 | 107, 931, 25, 287, 221 |
| 107, 133, 25, 41, 221 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 107 x 133 x 25 x 41 x 221 = 270788891100
Therefore, the lowest common multiple of 428,931,300,861,663 is 270788891100.
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 931 x 300 x 861 x 663 = 68238800557200
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
931 : 1, 7, 19, 49, 133, 931
300 : 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
861 : 1, 3, 7, 21, 41, 123, 287, 861
663 : 1, 3, 13, 17, 39, 51, 221, 663
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 428,931,300,861,663, is 1.
Now, the common factors can be found like this.
428:2x 2x 107
931:7x 7x 19
300:2x 2x 3x 5x 5
861:3x 7x 41
663:3x 13x 17
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 3x 3x 7 = 252
Therefore, the value for common factors is 252.
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 = 68238800557200/(1x252)
LCM = 68238800557200/252
LCM = 270788891100
Thus, we can understand that the LCM of 428,931,300,861,663 is 270788891100.
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FAQs on LCM of 428, 931, 300, 861, 663
1. What is the LCM of 428, 931, 300, 861, 663?
Answer: LCM of 428, 931, 300, 861, 663 is 270788891100.
2. How to calculate the LCM of 428, 931, 300, 861, 663?
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, 931, 300, 861, 663.
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}.