LCM of 721, 555, 803, 219, 981
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 721, 555, 803, 219, 981 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 721, 555, 803, 219, 981. So, keep reading to learn more.
Given numbers are 721,555,803,219,981
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 721,555,803,219,981 is 105073100055.
Find LCM of 721,555,803,219,981 with Prime Factorization
| 3 | 721, 555, 803, 219, 981 |
| 73 | 721, 185, 803, 73, 327 |
| 721, 185, 11, 1, 327 |
Multiply the prime numbers at the bottom and the left side.
3 x 73 x 721 x 185 x 11 x 1 x 327 = 105073100055
Therefore, the lowest common multiple of 721,555,803,219,981 is 105073100055.
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.
721 x 555 x 803 x 219 x 981 = 69033026736135
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.
721 : 1, 7, 103, 721
555 : 1, 3, 5, 15, 37, 111, 185, 555
803 : 1, 11, 73, 803
219 : 1, 3, 73, 219
981 : 1, 3, 9, 109, 327, 981
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 721,555,803,219,981, is 1.
Now, the common factors can be found like this.
721:7x 103
555:3x 5x 37
803:11x 73
219:3x 73
981:3x 3x 109
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 73 = 657
Therefore, the value for common factors is 657.
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 = 69033026736135/(1x657)
LCM = 69033026736135/657
LCM = 105073100055
Thus, we can understand that the LCM of 721,555,803,219,981 is 105073100055.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 721, 555, 803, 219, 981
1. What is the LCM of 721, 555, 803, 219, 981?
Answer: LCM of 721, 555, 803, 219, 981 is 105073100055.
2. How to calculate the LCM of 721, 555, 803, 219, 981?
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 721, 555, 803, 219, 981.
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}.