LCM of 949, 930, 780, 280, 450
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 949, 930, 780, 280, 450 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 949, 930, 780, 280, 450. So, keep reading to learn more.
Given numbers are 949,930,780,280,450
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 949,930,780,280,450 is 370679400.
Find LCM of 949,930,780,280,450 with Prime Factorization
| 2 | 949, 930, 780, 280, 450 |
| 2 | 949, 465, 390, 140, 225 |
| 3 | 949, 465, 195, 70, 225 |
| 5 | 949, 155, 65, 70, 75 |
| 13 | 949, 31, 13, 14, 15 |
| 73, 31, 1, 14, 15 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 13 x 73 x 31 x 1 x 14 x 15 = 370679400
Therefore, the lowest common multiple of 949,930,780,280,450 is 370679400.
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.
949 x 930 x 780 x 280 x 450 = 86738979600000
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.
949 : 1, 13, 73, 949
930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930
780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
280 : 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 949,930,780,280,450, is 1.
Now, the common factors can be found like this.
949:13x 73
930:2x 3x 5x 31
780:2x 2x 3x 5x 13
280:2x 2x 2x 5x 7
450:2x 3x 3x 5x 5
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 3x 5x 5x 5x 13 = 234000
Therefore, the value for common factors is 234000.
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 = 86738979600000/(1x234000)
LCM = 86738979600000/234000
LCM = 370679400
Thus, we can understand that the LCM of 949,930,780,280,450 is 370679400.
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FAQs on LCM of 949, 930, 780, 280, 450
1. What is the LCM of 949, 930, 780, 280, 450?
Answer: LCM of 949, 930, 780, 280, 450 is 370679400.
2. How to calculate the LCM of 949, 930, 780, 280, 450?
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 949, 930, 780, 280, 450.
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}.