LCM of 634, 920, 690, 851
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 634, 920, 690, 851 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 634, 920, 690, 851. So, keep reading to learn more.
Given numbers are 634,920,690,851
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 634,920,690,851 is 32372040.
Find LCM of 634,920,690,851 with Prime Factorization
| 2 | 634, 920, 690, 851 |
| 5 | 317, 460, 345, 851 |
| 23 | 317, 92, 69, 851 |
| 317, 4, 3, 37 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 23 x 317 x 4 x 3 x 37 = 32372040
Therefore, the lowest common multiple of 634,920,690,851 is 32372040.
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.
634 x 920 x 690 x 851 = 342496183200
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.
634 : 1, 2, 317, 634
920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
851 : 1, 23, 37, 851
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 634,920,690,851, is 1.
Now, the common factors can be found like this.
634:2x 317
920:2x 2x 2x 5x 23
690:2x 3x 5x 23
851:23x 37
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 5x 23x 23 = 10580
Therefore, the value for common factors is 10580.
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 = 342496183200/(1x10580)
LCM = 342496183200/10580
LCM = 32372040
Thus, we can understand that the LCM of 634,920,690,851 is 32372040.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 634, 920, 690, 851
1. What is the LCM of 634, 920, 690, 851?
Answer: LCM of 634, 920, 690, 851 is 32372040.
2. How to calculate the LCM of 634, 920, 690, 851?
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 634, 920, 690, 851.
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}.