LCM of 995, 464, 901, 568, 748
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 995, 464, 901, 568, 748 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 995, 464, 901, 568, 748. So, keep reading to learn more.
Given numbers are 995,464,901,568,748
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 995,464,901,568,748 is 324875444080.
Find LCM of 995,464,901,568,748 with Prime Factorization
| 2 | 995, 464, 901, 568, 748 |
| 2 | 995, 232, 901, 284, 374 |
| 2 | 995, 116, 901, 142, 187 |
| 17 | 995, 58, 901, 71, 187 |
| 995, 58, 53, 71, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 17 x 995 x 58 x 53 x 71 x 11 = 324875444080
Therefore, the lowest common multiple of 995,464,901,568,748 is 324875444080.
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.
995 x 464 x 901 x 568 x 748 = 176732241579520
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.
995 : 1, 5, 199, 995
464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464
901 : 1, 17, 53, 901
568 : 1, 2, 4, 8, 71, 142, 284, 568
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 995,464,901,568,748, is 1.
Now, the common factors can be found like this.
995:5x 199
464:2x 2x 2x 2x 29
901:17x 53
568:2x 2x 2x 71
748:2x 2x 11x 17
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 2x 2x 17 = 544
Therefore, the value for common factors is 544.
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 = 176732241579520/(1x544)
LCM = 176732241579520/544
LCM = 324875444080
Thus, we can understand that the LCM of 995,464,901,568,748 is 324875444080.
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FAQs on LCM of 995, 464, 901, 568, 748
1. What is the LCM of 995, 464, 901, 568, 748?
Answer: LCM of 995, 464, 901, 568, 748 is 324875444080.
2. How to calculate the LCM of 995, 464, 901, 568, 748?
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 995, 464, 901, 568, 748.
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}.