LCM of 545, 248, 896, 630, 899
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 545, 248, 896, 630, 899 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 545, 248, 896, 630, 899. So, keep reading to learn more.
Given numbers are 545,248,896,630,899
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 545,248,896,630,899 is 3950997120.
Find LCM of 545,248,896,630,899 with Prime Factorization
| 2 | 545, 248, 896, 630, 899 |
| 2 | 545, 124, 448, 315, 899 |
| 2 | 545, 62, 224, 315, 899 |
| 5 | 545, 31, 112, 315, 899 |
| 7 | 109, 31, 112, 63, 899 |
| 31 | 109, 31, 16, 9, 899 |
| 109, 1, 16, 9, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 7 x 31 x 109 x 1 x 16 x 9 x 29 = 3950997120
Therefore, the lowest common multiple of 545,248,896,630,899 is 3950997120.
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.
545 x 248 x 896 x 630 x 899 = 68589310003200
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.
545 : 1, 5, 109, 545
248 : 1, 2, 4, 8, 31, 62, 124, 248
896 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896
630 : 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630
899 : 1, 29, 31, 899
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 545,248,896,630,899, is 1.
Now, the common factors can be found like this.
545:5x 109
248:2x 2x 2x 31
896:2x 2x 2x 2x 2x 2x 2x 7
630:2x 3x 3x 5x 7
899:29x 31
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 7x 31 = 17360
Therefore, the value for common factors is 17360.
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 = 68589310003200/(1x17360)
LCM = 68589310003200/17360
LCM = 3950997120
Thus, we can understand that the LCM of 545,248,896,630,899 is 3950997120.
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FAQs on LCM of 545, 248, 896, 630, 899
1. What is the LCM of 545, 248, 896, 630, 899?
Answer: LCM of 545, 248, 896, 630, 899 is 3950997120.
2. How to calculate the LCM of 545, 248, 896, 630, 899?
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 545, 248, 896, 630, 899.
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}.