LCM of 428, 464, 901, 140
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 428, 464, 901, 140 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, 464, 901, 140. So, keep reading to learn more.
Given numbers are 428,464,901,140
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 428,464,901,140 is 1565649680.
Find LCM of 428,464,901,140 with Prime Factorization
| 2 | 428, 464, 901, 140 |
| 2 | 214, 232, 901, 70 |
| 107, 116, 901, 35 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 107 x 116 x 901 x 35 = 1565649680
Therefore, the lowest common multiple of 428,464,901,140 is 1565649680.
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 464 x 901 x 140 = 25050394880
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
464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464
901 : 1, 17, 53, 901
140 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 428,464,901,140, is 1.
Now, the common factors can be found like this.
428:2x 2x 107
464:2x 2x 2x 2x 29
901:17x 53
140:2x 2x 5x 7
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 2 = 16
Therefore, the value for common factors is 16.
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 = 25050394880/(1x16)
LCM = 25050394880/16
LCM = 1565649680
Thus, we can understand that the LCM of 428,464,901,140 is 1565649680.
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FAQs on LCM of 428, 464, 901, 140
1. What is the LCM of 428, 464, 901, 140?
Answer: LCM of 428, 464, 901, 140 is 1565649680.
2. How to calculate the LCM of 428, 464, 901, 140?
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, 464, 901, 140.
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}.