LCM of 990, 865, 901, 426, 744
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 990, 865, 901, 426, 744 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 990, 865, 901, 426, 744. So, keep reading to learn more.
Given numbers are 990,865,901,426,744
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 990,865,901,426,744 is 1358582833080.
Find LCM of 990,865,901,426,744 with Prime Factorization
| 2 | 990, 865, 901, 426, 744 |
| 3 | 495, 865, 901, 213, 372 |
| 5 | 165, 865, 901, 71, 124 |
| 33, 173, 901, 71, 124 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 33 x 173 x 901 x 71 x 124 = 1358582833080
Therefore, the lowest common multiple of 990,865,901,426,744 is 1358582833080.
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.
990 x 865 x 901 x 426 x 744 = 244544909954400
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.
990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
865 : 1, 5, 173, 865
901 : 1, 17, 53, 901
426 : 1, 2, 3, 6, 71, 142, 213, 426
744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 990,865,901,426,744, is 1.
Now, the common factors can be found like this.
990:2x 3x 3x 5x 11
865:5x 173
901:17x 53
426:2x 3x 71
744:2x 2x 2x 3x 31
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 3x 3x 5 = 180
Therefore, the value for common factors is 180.
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 = 244544909954400/(1x180)
LCM = 244544909954400/180
LCM = 1358582833080
Thus, we can understand that the LCM of 990,865,901,426,744 is 1358582833080.
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FAQs on LCM of 990, 865, 901, 426, 744
1. What is the LCM of 990, 865, 901, 426, 744?
Answer: LCM of 990, 865, 901, 426, 744 is 1358582833080.
2. How to calculate the LCM of 990, 865, 901, 426, 744?
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 990, 865, 901, 426, 744.
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}.