LCM of 544, 401, 950, 247, 874
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 544, 401, 950, 247, 874 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 544, 401, 950, 247, 874. So, keep reading to learn more.
Given numbers are 544,401,950,247,874
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 544,401,950,247,874 is 30981901600.
Find LCM of 544,401,950,247,874 with Prime Factorization
| 2 | 544, 401, 950, 247, 874 |
| 19 | 272, 401, 475, 247, 437 |
| 272, 401, 25, 13, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 19 x 272 x 401 x 25 x 13 x 23 = 30981901600
Therefore, the lowest common multiple of 544,401,950,247,874 is 30981901600.
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.
544 x 401 x 950 x 247 x 874 = 44737865910400
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.
544 : 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544
401 : 1, 401
950 : 1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950
247 : 1, 13, 19, 247
874 : 1, 2, 19, 23, 38, 46, 437, 874
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 544,401,950,247,874, is 1.
Now, the common factors can be found like this.
544:2x 2x 2x 2x 2x 17
401:401
950:2x 5x 5x 19
247:13x 19
874:2x 19x 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 19x 19 = 1444
Therefore, the value for common factors is 1444.
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 = 44737865910400/(1x1444)
LCM = 44737865910400/1444
LCM = 30981901600
Thus, we can understand that the LCM of 544,401,950,247,874 is 30981901600.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 544, 401, 950, 247, 874
1. What is the LCM of 544, 401, 950, 247, 874?
Answer: LCM of 544, 401, 950, 247, 874 is 30981901600.
2. How to calculate the LCM of 544, 401, 950, 247, 874?
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 544, 401, 950, 247, 874.
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}.