LCM of 314, 988, 616, 803
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 314, 988, 616, 803 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 314, 988, 616, 803. So, keep reading to learn more.
Given numbers are 314,988,616,803
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 314,988,616,803 is 1743814072.
Find LCM of 314,988,616,803 with Prime Factorization
| 2 | 314, 988, 616, 803 |
| 2 | 157, 494, 308, 803 |
| 11 | 157, 247, 154, 803 |
| 157, 247, 14, 73 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 157 x 247 x 14 x 73 = 1743814072
Therefore, the lowest common multiple of 314,988,616,803 is 1743814072.
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.
314 x 988 x 616 x 803 = 153455638336
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.
314 : 1, 2, 157, 314
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
803 : 1, 11, 73, 803
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 314,988,616,803, is 1.
Now, the common factors can be found like this.
314:2x 157
988:2x 2x 13x 19
616:2x 2x 2x 7x 11
803:11x 73
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 11 = 88
Therefore, the value for common factors is 88.
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 = 153455638336/(1x88)
LCM = 153455638336/88
LCM = 1743814072
Thus, we can understand that the LCM of 314,988,616,803 is 1743814072.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 314, 988, 616, 803
1. What is the LCM of 314, 988, 616, 803?
Answer: LCM of 314, 988, 616, 803 is 1743814072.
2. How to calculate the LCM of 314, 988, 616, 803?
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 314, 988, 616, 803.
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}.