LCM of 930, 634, 634, 714
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 930, 634, 634, 714 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, 634, 634, 714. So, keep reading to learn more.
Given numbers are 930,634,634,714
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 930,634,634,714 is 35082390.
Find LCM of 930,634,634,714 with Prime Factorization
| 2 | 930, 634, 634, 714 |
| 3 | 465, 317, 317, 357 |
| 317 | 155, 317, 317, 119 |
| 155, 1, 1, 119 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 317 x 155 x 1 x 1 x 119 = 35082390
Therefore, the lowest common multiple of 930,634,634,714 is 35082390.
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 634 x 634 x 714 = 266906823120
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
634 : 1, 2, 317, 634
634 : 1, 2, 317, 634
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 930,634,634,714, is 2.
Now, the common factors can be found like this.
930:2x 3x 5x 31
634:2x 317
634:2x 317
714:2x 3x 7x 17
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 317 = 3804
Therefore, the value for common factors is 3804.
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 = 266906823120/(2x3804)
LCM = 266906823120/7608
LCM = 35082390
Thus, we can understand that the LCM of 930,634,634,714 is 35082390.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 930, 634, 634, 714
1. What is the LCM of 930, 634, 634, 714?
Answer: LCM of 930, 634, 634, 714 is 35082390.
2. How to calculate the LCM of 930, 634, 634, 714?
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, 634, 634, 714.
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}.