LCM of 950, 765, 863, 942, 743
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 950, 765, 863, 942, 743 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, 765, 863, 942, 743. So, keep reading to learn more.
Given numbers are 950,765,863,942,743
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 950,765,863,942,743 is 14632357319550.
Find LCM of 950,765,863,942,743 with Prime Factorization
| 2 | 950, 765, 863, 942, 743 |
| 3 | 475, 765, 863, 471, 743 |
| 5 | 475, 255, 863, 157, 743 |
| 95, 51, 863, 157, 743 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 95 x 51 x 863 x 157 x 743 = 14632357319550
Therefore, the lowest common multiple of 950,765,863,942,743 is 14632357319550.
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 765 x 863 x 942 x 743 = 438970719586500
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
765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
863 : 1, 863
942 : 1, 2, 3, 6, 157, 314, 471, 942
743 : 1, 743
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 950,765,863,942,743, is 1.
Now, the common factors can be found like this.
950:2x 5x 5x 19
765:3x 3x 5x 17
863:863
942:2x 3x 157
743:743
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 5 = 30
Therefore, the value for common factors is 30.
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 = 438970719586500/(1x30)
LCM = 438970719586500/30
LCM = 14632357319550
Thus, we can understand that the LCM of 950,765,863,942,743 is 14632357319550.
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, 765, 863, 942, 743
1. What is the LCM of 950, 765, 863, 942, 743?
Answer: LCM of 950, 765, 863, 942, 743 is 14632357319550.
2. How to calculate the LCM of 950, 765, 863, 942, 743?
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, 765, 863, 942, 743.
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}.