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LCM of 995, 408, 327, 763, 851

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 995, 408, 327, 763, 851 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, 408, 327, 763, 851. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 995,408,327,763,851

Given numbers are 995,408,327,763,851

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 995,408,327,763,851 is 263595105480.

Find LCM of 995,408,327,763,851 with Prime Factorization


3 995, 408, 327, 763, 851
109 995, 136, 109, 763, 851
995, 136, 1, 7, 851

Multiply the prime numbers at the bottom and the left side.

3 x 109 x 995 x 136 x 1 x 7 x 851 = 263595105480

Therefore, the lowest common multiple of 995,408,327,763,851 is 263595105480.

LCM Formula to Find Lowest Common Multiple of 995,408,327,763,851

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 408 x 327 x 763 x 851 = 86195599491960

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

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

327 : 1, 3, 109, 327

763 : 1, 7, 109, 763

851 : 1, 23, 37, 851

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 995,408,327,763,851, is 1.

Now, the common factors can be found like this.

995:5x 199

408:2x 2x 2x 3x 17

327:3x 109

763:7x 109

851:23x 37

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

3x 109 = 327

Therefore, the value for common factors is 327.

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 = 86195599491960/(1x327)

LCM = 86195599491960/327

LCM = 263595105480

Thus, we can understand that the LCM of 995,408,327,763,851 is 263595105480.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 995, 408, 327, 763, 851

1. What is the LCM of 995, 408, 327, 763, 851?

Answer: LCM of 995, 408, 327, 763, 851 is 263595105480.

2. How to calculate the LCM of 995, 408, 327, 763, 851?

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, 408, 327, 763, 851.

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}.