LCM of 803, 880, 479, 889, 316
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 803, 880, 479, 889, 316 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 803, 880, 479, 889, 316. So, keep reading to learn more.
Given numbers are 803,880,479,889,316
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 803,880,479,889,316 is 2161075291760.
Find LCM of 803,880,479,889,316 with Prime Factorization
| 2 | 803, 880, 479, 889, 316 |
| 2 | 803, 440, 479, 889, 158 |
| 11 | 803, 220, 479, 889, 79 |
| 73, 20, 479, 889, 79 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 73 x 20 x 479 x 889 x 79 = 2161075291760
Therefore, the lowest common multiple of 803,880,479,889,316 is 2161075291760.
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.
803 x 880 x 479 x 889 x 316 = 95087312837440
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.
803 : 1, 11, 73, 803
880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
479 : 1, 479
889 : 1, 7, 127, 889
316 : 1, 2, 4, 79, 158, 316
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 803,880,479,889,316, is 1.
Now, the common factors can be found like this.
803:11x 73
880:2x 2x 2x 2x 5x 11
479:479
889:7x 127
316:2x 2x 79
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 11 = 44
Therefore, the value for common factors is 44.
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 = 95087312837440/(1x44)
LCM = 95087312837440/44
LCM = 2161075291760
Thus, we can understand that the LCM of 803,880,479,889,316 is 2161075291760.
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FAQs on LCM of 803, 880, 479, 889, 316
1. What is the LCM of 803, 880, 479, 889, 316?
Answer: LCM of 803, 880, 479, 889, 316 is 2161075291760.
2. How to calculate the LCM of 803, 880, 479, 889, 316?
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 803, 880, 479, 889, 316.
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}.