LCM of 560, 150, 126, 470, 940
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 560, 150, 126, 470, 940 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 560, 150, 126, 470, 940. So, keep reading to learn more.
Given numbers are 560,150,126,470,940
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 560,150,126,470,940 is 1184400.
Find LCM of 560,150,126,470,940 with Prime Factorization
| 2 | 560, 150, 126, 470, 940 |
| 2 | 280, 75, 63, 235, 470 |
| 3 | 140, 75, 63, 235, 235 |
| 5 | 140, 25, 21, 235, 235 |
| 7 | 28, 5, 21, 47, 47 |
| 47 | 4, 5, 3, 47, 47 |
| 4, 5, 3, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 7 x 47 x 4 x 5 x 3 x 1 x 1 = 1184400
Therefore, the lowest common multiple of 560,150,126,470,940 is 1184400.
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.
560 x 150 x 126 x 470 x 940 = 4676011200000
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.
560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
150 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
126 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
470 : 1, 2, 5, 10, 47, 94, 235, 470
940 : 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 560,150,126,470,940, is 2.
Now, the common factors can be found like this.
560:2x 2x 2x 2x 5x 7
150:2x 3x 5x 5
126:2x 3x 3x 7
470:2x 5x 47
940:2x 2x 5x 47
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 3x 5x 5x 5x 7x 47 = 1974000
Therefore, the value for common factors is 1974000.
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 = 4676011200000/(2x1974000)
LCM = 4676011200000/3948000
LCM = 1184400
Thus, we can understand that the LCM of 560,150,126,470,940 is 1184400.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 560, 150, 126, 470, 940
1. What is the LCM of 560, 150, 126, 470, 940?
Answer: LCM of 560, 150, 126, 470, 940 is 1184400.
2. How to calculate the LCM of 560, 150, 126, 470, 940?
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 560, 150, 126, 470, 940.
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}.