LCM of 235, 140, 763, 476, 560
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 235, 140, 763, 476, 560 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 235, 140, 763, 476, 560. So, keep reading to learn more.
Given numbers are 235,140,763,476,560
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 235,140,763,476,560 is 48770960.
Find LCM of 235,140,763,476,560 with Prime Factorization
| 2 | 235, 140, 763, 476, 560 |
| 2 | 235, 70, 763, 238, 280 |
| 5 | 235, 35, 763, 119, 140 |
| 7 | 47, 7, 763, 119, 28 |
| 47, 1, 109, 17, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 7 x 47 x 1 x 109 x 17 x 4 = 48770960
Therefore, the lowest common multiple of 235,140,763,476,560 is 48770960.
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.
235 x 140 x 763 x 476 x 560 = 6691375712000
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.
235 : 1, 5, 47, 235
140 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
763 : 1, 7, 109, 763
476 : 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476
560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 235,140,763,476,560, is 1.
Now, the common factors can be found like this.
235:5x 47
140:2x 2x 5x 7
763:7x 109
476:2x 2x 7x 17
560:2x 2x 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 2x 5x 5x 7x 7x 7 = 137200
Therefore, the value for common factors is 137200.
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 = 6691375712000/(1x137200)
LCM = 6691375712000/137200
LCM = 48770960
Thus, we can understand that the LCM of 235,140,763,476,560 is 48770960.
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FAQs on LCM of 235, 140, 763, 476, 560
1. What is the LCM of 235, 140, 763, 476, 560?
Answer: LCM of 235, 140, 763, 476, 560 is 48770960.
2. How to calculate the LCM of 235, 140, 763, 476, 560?
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 235, 140, 763, 476, 560.
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}.