LCM of 531, 585, 641, 988
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 531, 585, 641, 988 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 531, 585, 641, 988. So, keep reading to learn more.
Given numbers are 531,585,641,988
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 531,585,641,988 is 1681432740.
Find LCM of 531,585,641,988 with Prime Factorization
| 3 | 531, 585, 641, 988 |
| 3 | 177, 195, 641, 988 |
| 13 | 59, 65, 641, 988 |
| 59, 5, 641, 76 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 13 x 59 x 5 x 641 x 76 = 1681432740
Therefore, the lowest common multiple of 531,585,641,988 is 1681432740.
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.
531 x 585 x 641 x 988 = 196727630580
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.
531 : 1, 3, 9, 59, 177, 531
585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
641 : 1, 641
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 531,585,641,988, is 1.
Now, the common factors can be found like this.
531:3x 3x 59
585:3x 3x 5x 13
641:641
988:2x 2x 13x 19
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 13 = 117
Therefore, the value for common factors is 117.
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 = 196727630580/(1x117)
LCM = 196727630580/117
LCM = 1681432740
Thus, we can understand that the LCM of 531,585,641,988 is 1681432740.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 531, 585, 641, 988
1. What is the LCM of 531, 585, 641, 988?
Answer: LCM of 531, 585, 641, 988 is 1681432740.
2. How to calculate the LCM of 531, 585, 641, 988?
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 531, 585, 641, 988.
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}.