LCM of 594, 572, 881, 988
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 594, 572, 881, 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 594, 572, 881, 988. So, keep reading to learn more.
Given numbers are 594,572,881,988
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 594,572,881,988 is 258517116.
Find LCM of 594,572,881,988 with Prime Factorization
| 2 | 594, 572, 881, 988 |
| 2 | 297, 286, 881, 494 |
| 11 | 297, 143, 881, 247 |
| 13 | 27, 13, 881, 247 |
| 27, 1, 881, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 13 x 27 x 1 x 881 x 19 = 258517116
Therefore, the lowest common multiple of 594,572,881,988 is 258517116.
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.
594 x 572 x 881 x 988 = 295743580704
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.
594 : 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
881 : 1, 881
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 594,572,881,988, is 1.
Now, the common factors can be found like this.
594:2x 3x 3x 3x 11
572:2x 2x 11x 13
881:881
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.
2x 2x 2x 11x 13 = 1144
Therefore, the value for common factors is 1144.
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 = 295743580704/(1x1144)
LCM = 295743580704/1144
LCM = 258517116
Thus, we can understand that the LCM of 594,572,881,988 is 258517116.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 594, 572, 881, 988
1. What is the LCM of 594, 572, 881, 988?
Answer: LCM of 594, 572, 881, 988 is 258517116.
2. How to calculate the LCM of 594, 572, 881, 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 594, 572, 881, 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}.