LCM of 950, 803, 182, 814, 644
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 950, 803, 182, 814, 644 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, 803, 182, 814, 644. So, keep reading to learn more.
Given numbers are 950,803,182,814,644
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 950,803,182,814,644 is 118151733700.
Find LCM of 950,803,182,814,644 with Prime Factorization
| 2 | 950, 803, 182, 814, 644 |
| 7 | 475, 803, 91, 407, 322 |
| 11 | 475, 803, 13, 407, 46 |
| 475, 73, 13, 37, 46 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 11 x 475 x 73 x 13 x 37 x 46 = 118151733700
Therefore, the lowest common multiple of 950,803,182,814,644 is 118151733700.
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 803 x 182 x 814 x 644 = 72781467959200
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
803 : 1, 11, 73, 803
182 : 1, 2, 7, 13, 14, 26, 91, 182
814 : 1, 2, 11, 22, 37, 74, 407, 814
644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 950,803,182,814,644, is 1.
Now, the common factors can be found like this.
950:2x 5x 5x 19
803:11x 73
182:2x 7x 13
814:2x 11x 37
644:2x 2x 7x 23
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 7x 11 = 616
Therefore, the value for common factors is 616.
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 = 72781467959200/(1x616)
LCM = 72781467959200/616
LCM = 118151733700
Thus, we can understand that the LCM of 950,803,182,814,644 is 118151733700.
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FAQs on LCM of 950, 803, 182, 814, 644
1. What is the LCM of 950, 803, 182, 814, 644?
Answer: LCM of 950, 803, 182, 814, 644 is 118151733700.
2. How to calculate the LCM of 950, 803, 182, 814, 644?
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, 803, 182, 814, 644.
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}.