LCM of 949, 374, 427, 663, 926
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 949, 374, 427, 663, 926 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 949, 374, 427, 663, 926. So, keep reading to learn more.
Given numbers are 949,374,427,663,926
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 949,374,427,663,926 is 210507675378.
Find LCM of 949,374,427,663,926 with Prime Factorization
| 2 | 949, 374, 427, 663, 926 |
| 13 | 949, 187, 427, 663, 463 |
| 17 | 73, 187, 427, 51, 463 |
| 73, 11, 427, 3, 463 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 17 x 73 x 11 x 427 x 3 x 463 = 210507675378
Therefore, the lowest common multiple of 949,374,427,663,926 is 210507675378.
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.
949 x 374 x 427 x 663 x 926 = 93044392517076
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.
949 : 1, 13, 73, 949
374 : 1, 2, 11, 17, 22, 34, 187, 374
427 : 1, 7, 61, 427
663 : 1, 3, 13, 17, 39, 51, 221, 663
926 : 1, 2, 463, 926
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 949,374,427,663,926, is 1.
Now, the common factors can be found like this.
949:13x 73
374:2x 11x 17
427:7x 61
663:3x 13x 17
926:2x 463
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 13x 17 = 442
Therefore, the value for common factors is 442.
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 = 93044392517076/(1x442)
LCM = 93044392517076/442
LCM = 210507675378
Thus, we can understand that the LCM of 949,374,427,663,926 is 210507675378.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 949, 374, 427, 663, 926
1. What is the LCM of 949, 374, 427, 663, 926?
Answer: LCM of 949, 374, 427, 663, 926 is 210507675378.
2. How to calculate the LCM of 949, 374, 427, 663, 926?
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 949, 374, 427, 663, 926.
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}.