LCM of 174, 594, 583, 714, 923
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 174, 594, 583, 714, 923 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 174, 594, 583, 714, 923. So, keep reading to learn more.
Given numbers are 174,594,583,714,923
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 174,594,583,714,923 is 100278764586.
Find LCM of 174,594,583,714,923 with Prime Factorization
| 2 | 174, 594, 583, 714, 923 |
| 3 | 87, 297, 583, 357, 923 |
| 11 | 29, 99, 583, 119, 923 |
| 29, 9, 53, 119, 923 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 29 x 9 x 53 x 119 x 923 = 100278764586
Therefore, the lowest common multiple of 174,594,583,714,923 is 100278764586.
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.
174 x 594 x 583 x 714 x 923 = 39710390776056
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.
174 : 1, 2, 3, 6, 29, 58, 87, 174
594 : 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594
583 : 1, 11, 53, 583
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
923 : 1, 13, 71, 923
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 174,594,583,714,923, is 1.
Now, the common factors can be found like this.
174:2x 3x 29
594:2x 3x 3x 3x 11
583:11x 53
714:2x 3x 7x 17
923:13x 71
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 11 = 396
Therefore, the value for common factors is 396.
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 = 39710390776056/(1x396)
LCM = 39710390776056/396
LCM = 100278764586
Thus, we can understand that the LCM of 174,594,583,714,923 is 100278764586.
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FAQs on LCM of 174, 594, 583, 714, 923
1. What is the LCM of 174, 594, 583, 714, 923?
Answer: LCM of 174, 594, 583, 714, 923 is 100278764586.
2. How to calculate the LCM of 174, 594, 583, 714, 923?
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 174, 594, 583, 714, 923.
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}.