LCM of 590, 874, 325, 470, 688
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 590, 874, 325, 470, 688 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 590, 874, 325, 470, 688. So, keep reading to learn more.
Given numbers are 590,874,325,470,688
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 590,874,325,470,688 is 270958703600.
Find LCM of 590,874,325,470,688 with Prime Factorization
| 2 | 590, 874, 325, 470, 688 |
| 5 | 295, 437, 325, 235, 344 |
| 59, 437, 65, 47, 344 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 59 x 437 x 65 x 47 x 344 = 270958703600
Therefore, the lowest common multiple of 590,874,325,470,688 is 270958703600.
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.
590 x 874 x 325 x 470 x 688 = 54191740720000
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.
590 : 1, 2, 5, 10, 59, 118, 295, 590
874 : 1, 2, 19, 23, 38, 46, 437, 874
325 : 1, 5, 13, 25, 65, 325
470 : 1, 2, 5, 10, 47, 94, 235, 470
688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 590,874,325,470,688, is 1.
Now, the common factors can be found like this.
590:2x 5x 59
874:2x 19x 23
325:5x 5x 13
470:2x 5x 47
688:2x 2x 2x 2x 43
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 5x 5 = 200
Therefore, the value for common factors is 200.
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 = 54191740720000/(1x200)
LCM = 54191740720000/200
LCM = 270958703600
Thus, we can understand that the LCM of 590,874,325,470,688 is 270958703600.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 590, 874, 325, 470, 688
1. What is the LCM of 590, 874, 325, 470, 688?
Answer: LCM of 590, 874, 325, 470, 688 is 270958703600.
2. How to calculate the LCM of 590, 874, 325, 470, 688?
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 590, 874, 325, 470, 688.
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}.