LCM of 995, 574, 751, 902
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 995, 574, 751, 902 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, 574, 751, 902. So, keep reading to learn more.
Given numbers are 995,574,751,902
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 995,574,751,902 is 4718104930.
Find LCM of 995,574,751,902 with Prime Factorization
| 2 | 995, 574, 751, 902 |
| 41 | 995, 287, 751, 451 |
| 995, 7, 751, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 41 x 995 x 7 x 751 x 11 = 4718104930
Therefore, the lowest common multiple of 995,574,751,902 is 4718104930.
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 574 x 751 x 902 = 386884604260
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
574 : 1, 2, 7, 14, 41, 82, 287, 574
751 : 1, 751
902 : 1, 2, 11, 22, 41, 82, 451, 902
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 995,574,751,902, is 1.
Now, the common factors can be found like this.
995:5x 199
574:2x 7x 41
751:751
902:2x 11x 41
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 41 = 82
Therefore, the value for common factors is 82.
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 = 386884604260/(1x82)
LCM = 386884604260/82
LCM = 4718104930
Thus, we can understand that the LCM of 995,574,751,902 is 4718104930.
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FAQs on LCM of 995, 574, 751, 902
1. What is the LCM of 995, 574, 751, 902?
Answer: LCM of 995, 574, 751, 902 is 4718104930.
2. How to calculate the LCM of 995, 574, 751, 902?
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, 574, 751, 902.
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}.