LCM of 930, 174, 681, 330, 852
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 930, 174, 681, 330, 852 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 930, 174, 681, 330, 852. So, keep reading to learn more.
Given numbers are 930,174,681,330,852
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 930,174,681,330,852 is 9562860780.
Find LCM of 930,174,681,330,852 with Prime Factorization
| 2 | 930, 174, 681, 330, 852 |
| 3 | 465, 87, 681, 165, 426 |
| 5 | 155, 29, 227, 55, 142 |
| 31, 29, 227, 11, 142 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 31 x 29 x 227 x 11 x 142 = 9562860780
Therefore, the lowest common multiple of 930,174,681,330,852 is 9562860780.
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.
930 x 174 x 681 x 330 x 852 = 30983668927200
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.
930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930
174 : 1, 2, 3, 6, 29, 58, 87, 174
681 : 1, 3, 227, 681
330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
852 : 1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 930,174,681,330,852, is 3.
Now, the common factors can be found like this.
930:2x 3x 5x 31
174:2x 3x 29
681:3x 227
330:2x 3x 5x 11
852:2x 2x 3x 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 2x 3x 3x 3x 5 = 1080
Therefore, the value for common factors is 1080.
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 = 30983668927200/(3x1080)
LCM = 30983668927200/3240
LCM = 9562860780
Thus, we can understand that the LCM of 930,174,681,330,852 is 9562860780.
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FAQs on LCM of 930, 174, 681, 330, 852
1. What is the LCM of 930, 174, 681, 330, 852?
Answer: LCM of 930, 174, 681, 330, 852 is 9562860780.
2. How to calculate the LCM of 930, 174, 681, 330, 852?
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 930, 174, 681, 330, 852.
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}.