LCM of 573, 899, 764, 707, 488
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 573, 899, 764, 707, 488 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 573, 899, 764, 707, 488. So, keep reading to learn more.
Given numbers are 573,899,764,707,488
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 573,899,764,707,488 is 177727057032.
Find LCM of 573,899,764,707,488 with Prime Factorization
| 2 | 573, 899, 764, 707, 488 |
| 2 | 573, 899, 382, 707, 244 |
| 191 | 573, 899, 191, 707, 122 |
| 3, 899, 1, 707, 122 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 191 x 3 x 899 x 1 x 707 x 122 = 177727057032
Therefore, the lowest common multiple of 573,899,764,707,488 is 177727057032.
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.
573 x 899 x 764 x 707 x 488 = 135783471572448
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.
573 : 1, 3, 191, 573
899 : 1, 29, 31, 899
764 : 1, 2, 4, 191, 382, 764
707 : 1, 7, 101, 707
488 : 1, 2, 4, 8, 61, 122, 244, 488
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 573,899,764,707,488, is 1.
Now, the common factors can be found like this.
573:3x 191
899:29x 31
764:2x 2x 191
707:7x 101
488:2x 2x 2x 61
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 191 = 764
Therefore, the value for common factors is 764.
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 = 135783471572448/(1x764)
LCM = 135783471572448/764
LCM = 177727057032
Thus, we can understand that the LCM of 573,899,764,707,488 is 177727057032.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 573, 899, 764, 707, 488
1. What is the LCM of 573, 899, 764, 707, 488?
Answer: LCM of 573, 899, 764, 707, 488 is 177727057032.
2. How to calculate the LCM of 573, 899, 764, 707, 488?
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 573, 899, 764, 707, 488.
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}.