LCM of 995, 429, 407, 758
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 995, 429, 407, 758 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, 429, 407, 758. So, keep reading to learn more.
Given numbers are 995,429,407,758
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 995,429,407,758 is 11971575330.
Find LCM of 995,429,407,758 with Prime Factorization
| 11 | 995, 429, 407, 758 |
| 995, 39, 37, 758 |
Multiply the prime numbers at the bottom and the left side.
11 x 995 x 39 x 37 x 758 = 11971575330
Therefore, the lowest common multiple of 995,429,407,758 is 11971575330.
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 429 x 407 x 758 = 131687328630
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
429 : 1, 3, 11, 13, 33, 39, 143, 429
407 : 1, 11, 37, 407
758 : 1, 2, 379, 758
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 995,429,407,758, is 1.
Now, the common factors can be found like this.
995:5x 199
429:3x 11x 13
407:11x 37
758:2x 379
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11 = 11
Therefore, the value for common factors is 11.
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 = 131687328630/(1x11)
LCM = 131687328630/11
LCM = 11971575330
Thus, we can understand that the LCM of 995,429,407,758 is 11971575330.
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FAQs on LCM of 995, 429, 407, 758
1. What is the LCM of 995, 429, 407, 758?
Answer: LCM of 995, 429, 407, 758 is 11971575330.
2. How to calculate the LCM of 995, 429, 407, 758?
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, 429, 407, 758.
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}.