LCM of 950, 978, 651, 729, 815
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 950, 978, 651, 729, 815 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 950, 978, 651, 729, 815. So, keep reading to learn more.
Given numbers are 950,978,651,729,815
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 950,978,651,729,815 is 24496186050.
Find LCM of 950,978,651,729,815 with Prime Factorization
| 2 | 950, 978, 651, 729, 815 |
| 3 | 475, 489, 651, 729, 815 |
| 5 | 475, 163, 217, 243, 815 |
| 163 | 95, 163, 217, 243, 163 |
| 95, 1, 217, 243, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 163 x 95 x 1 x 217 x 243 x 1 = 24496186050
Therefore, the lowest common multiple of 950,978,651,729,815 is 24496186050.
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.
950 x 978 x 651 x 729 x 815 = 359359049353500
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.
950 : 1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950
978 : 1, 2, 3, 6, 163, 326, 489, 978
651 : 1, 3, 7, 21, 31, 93, 217, 651
729 : 1, 3, 9, 27, 81, 243, 729
815 : 1, 5, 163, 815
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 950,978,651,729,815, is 1.
Now, the common factors can be found like this.
950:2x 5x 5x 19
978:2x 3x 163
651:3x 7x 31
729:3x 3x 3x 3x 3x 3
815:5x 163
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 5x 163 = 14670
Therefore, the value for common factors is 14670.
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 = 359359049353500/(1x14670)
LCM = 359359049353500/14670
LCM = 24496186050
Thus, we can understand that the LCM of 950,978,651,729,815 is 24496186050.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 950, 978, 651, 729, 815
1. What is the LCM of 950, 978, 651, 729, 815?
Answer: LCM of 950, 978, 651, 729, 815 is 24496186050.
2. How to calculate the LCM of 950, 978, 651, 729, 815?
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 950, 978, 651, 729, 815.
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}.