LCM of 573, 458, 750, 921, 110
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 573, 458, 750, 921, 110 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, 458, 750, 921, 110. So, keep reading to learn more.
Given numbers are 573,458,750,921,110
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 573,458,750,921,110 is 110779952250.
Find LCM of 573,458,750,921,110 with Prime Factorization
| 2 | 573, 458, 750, 921, 110 |
| 3 | 573, 229, 375, 921, 55 |
| 5 | 191, 229, 125, 307, 55 |
| 191, 229, 25, 307, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 191 x 229 x 25 x 307 x 11 = 110779952250
Therefore, the lowest common multiple of 573,458,750,921,110 is 110779952250.
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 458 x 750 x 921 x 110 = 19940391405000
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
458 : 1, 2, 229, 458
750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750
921 : 1, 3, 307, 921
110 : 1, 2, 5, 10, 11, 22, 55, 110
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 573,458,750,921,110, is 1.
Now, the common factors can be found like this.
573:3x 191
458:2x 229
750:2x 3x 5x 5x 5
921:3x 307
110:2x 5x 11
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 3x 3x 5 = 180
Therefore, the value for common factors is 180.
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 = 19940391405000/(1x180)
LCM = 19940391405000/180
LCM = 110779952250
Thus, we can understand that the LCM of 573,458,750,921,110 is 110779952250.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 573, 458, 750, 921, 110
1. What is the LCM of 573, 458, 750, 921, 110?
Answer: LCM of 573, 458, 750, 921, 110 is 110779952250.
2. How to calculate the LCM of 573, 458, 750, 921, 110?
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, 458, 750, 921, 110.
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}.