LCM of 218, 752, 572, 628, 470
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 218, 752, 572, 628, 470 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 218, 752, 572, 628, 470. So, keep reading to learn more.
Given numbers are 218,752,572,628,470
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 218,752,572,628,470 is 9201317840.
Find LCM of 218,752,572,628,470 with Prime Factorization
| 2 | 218, 752, 572, 628, 470 |
| 2 | 109, 376, 286, 314, 235 |
| 47 | 109, 188, 143, 157, 235 |
| 109, 4, 143, 157, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 47 x 109 x 4 x 143 x 157 x 5 = 9201317840
Therefore, the lowest common multiple of 218,752,572,628,470 is 9201317840.
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.
218 x 752 x 572 x 628 x 470 = 27677564062720
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.
218 : 1, 2, 109, 218
752 : 1, 2, 4, 8, 16, 47, 94, 188, 376, 752
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
628 : 1, 2, 4, 157, 314, 628
470 : 1, 2, 5, 10, 47, 94, 235, 470
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 218,752,572,628,470, is 2.
Now, the common factors can be found like this.
218:2x 109
752:2x 2x 2x 2x 47
572:2x 2x 11x 13
628:2x 2x 157
470:2x 5x 47
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 2x 2x 47 = 1504
Therefore, the value for common factors is 1504.
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 = 27677564062720/(2x1504)
LCM = 27677564062720/3008
LCM = 9201317840
Thus, we can understand that the LCM of 218,752,572,628,470 is 9201317840.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 218, 752, 572, 628, 470
1. What is the LCM of 218, 752, 572, 628, 470?
Answer: LCM of 218, 752, 572, 628, 470 is 9201317840.
2. How to calculate the LCM of 218, 752, 572, 628, 470?
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 218, 752, 572, 628, 470.
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}.