Find the LCM of 860, 897, 851, 750, 676 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 860, 897, 851, 750, 676. So, keep reading to learn more.
Given numbers are 860,897,851,750,676
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 860,897,851,750,676 is 9276325500.
Find LCM of 860,897,851,750,676 with Prime Factorization
2 | 860, 897, 851, 750, 676 |
2 | 430, 897, 851, 375, 338 |
3 | 215, 897, 851, 375, 169 |
5 | 215, 299, 851, 125, 169 |
13 | 43, 299, 851, 25, 169 |
23 | 43, 23, 851, 25, 13 |
43, 1, 37, 25, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 13 x 23 x 43 x 1 x 37 x 25 x 13 = 9276325500
Therefore, the lowest common multiple of 860,897,851,750,676 is 9276325500.
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.
860 x 897 x 851 x 750 x 676 = 332834558940000
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.
860 : 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860
897 : 1, 3, 13, 23, 39, 69, 299, 897
851 : 1, 23, 37, 851
750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 860,897,851,750,676, is 1.
Now, the common factors can be found like this.
860:2x 2x 5x 43
897:3x 13x 23
851:23x 37
750:2x 3x 5x 5x 5
676:2x 2x 13x 13
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 5x 13x 23 = 35880
Therefore, the value for common factors is 35880.
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 = 332834558940000/(1x35880)
LCM = 332834558940000/35880
LCM = 9276325500
Thus, we can understand that the LCM of 860,897,851,750,676 is 9276325500.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 860, 897, 851, 750, 676?
Answer: LCM of 860, 897, 851, 750, 676 is 9276325500.
2. How to calculate the LCM of 860, 897, 851, 750, 676?
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 860, 897, 851, 750, 676.
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}.