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LCM of 905, 214, 856, 609

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


Find the LCM of 905, 214, 856, 609 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 905, 214, 856, 609. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 905,214,856,609

Given numbers are 905,214,856,609

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

The LCM of 905,214,856,609 is 471780120.

Find LCM of 905,214,856,609 with Prime Factorization


2 905, 214, 856, 609
107 905, 107, 428, 609
905, 1, 4, 609

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

2 x 107 x 905 x 1 x 4 x 609 = 471780120

Therefore, the lowest common multiple of 905,214,856,609 is 471780120.

LCM Formula to Find Lowest Common Multiple of 905,214,856,609

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.

905 x 214 x 856 x 609 = 100960945680

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.

905 : 1, 5, 181, 905

214 : 1, 2, 107, 214

856 : 1, 2, 4, 8, 107, 214, 428, 856

609 : 1, 3, 7, 21, 29, 87, 203, 609

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 905,214,856,609, is 1.

Now, the common factors can be found like this.

905:5x 181

214:2x 107

856:2x 2x 2x 107

609:3x 7x 29

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

2x 107 = 214

Therefore, the value for common factors is 214.

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 = 100960945680/(1x214)

LCM = 100960945680/214

LCM = 471780120

Thus, we can understand that the LCM of 905,214,856,609 is 471780120.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 905, 214, 856, 609

1. What is the LCM of 905, 214, 856, 609?

Answer: LCM of 905, 214, 856, 609 is 471780120.

2. How to calculate the LCM of 905, 214, 856, 609?

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 905, 214, 856, 609.

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}.