LCM of 851, 780, 430, 965, 178
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 851, 780, 430, 965, 178 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 851, 780, 430, 965, 178. So, keep reading to learn more.
Given numbers are 851,780,430,965,178
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 851,780,430,965,178 is 490275209580.
Find LCM of 851,780,430,965,178 with Prime Factorization
| 2 | 851, 780, 430, 965, 178 |
| 5 | 851, 390, 215, 965, 89 |
| 851, 78, 43, 193, 89 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 851 x 78 x 43 x 193 x 89 = 490275209580
Therefore, the lowest common multiple of 851,780,430,965,178 is 490275209580.
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.
851 x 780 x 430 x 965 x 178 = 49027520958000
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.
851 : 1, 23, 37, 851
780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
430 : 1, 2, 5, 10, 43, 86, 215, 430
965 : 1, 5, 193, 965
178 : 1, 2, 89, 178
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 851,780,430,965,178, is 1.
Now, the common factors can be found like this.
851:23x 37
780:2x 2x 3x 5x 13
430:2x 5x 43
965:5x 193
178:2x 89
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 5 = 100
Therefore, the value for common factors is 100.
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 = 49027520958000/(1x100)
LCM = 49027520958000/100
LCM = 490275209580
Thus, we can understand that the LCM of 851,780,430,965,178 is 490275209580.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 851, 780, 430, 965, 178
1. What is the LCM of 851, 780, 430, 965, 178?
Answer: LCM of 851, 780, 430, 965, 178 is 490275209580.
2. How to calculate the LCM of 851, 780, 430, 965, 178?
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 851, 780, 430, 965, 178.
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}.