LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

LCM of 858, 165, 993, 456, 128

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


Find the LCM of 858, 165, 993, 456, 128 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 858, 165, 993, 456, 128. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 858,165,993,456,128

Given numbers are 858,165,993,456,128

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

The LCM of 858,165,993,456,128 is 1726707840.

Find LCM of 858,165,993,456,128 with Prime Factorization


2 858, 165, 993, 456, 128
2 429, 165, 993, 228, 64
2 429, 165, 993, 114, 32
3 429, 165, 993, 57, 16
11 143, 55, 331, 19, 16
13, 5, 331, 19, 16

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

2 x 2 x 2 x 3 x 11 x 13 x 5 x 331 x 19 x 16 = 1726707840

Therefore, the lowest common multiple of 858,165,993,456,128 is 1726707840.

LCM Formula to Find Lowest Common Multiple of 858,165,993,456,128

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.

858 x 165 x 993 x 456 x 128 = 8205315655680

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.

858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

165 : 1, 3, 5, 11, 15, 33, 55, 165

993 : 1, 3, 331, 993

456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

128 : 1, 2, 4, 8, 16, 32, 64, 128

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 858,165,993,456,128, is 1.

Now, the common factors can be found like this.

858:2x 3x 11x 13

165:3x 5x 11

993:3x 331

456:2x 2x 2x 3x 19

128:2x 2x 2x 2x 2x 2x 2

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 3x 3x 3x 11 = 4752

Therefore, the value for common factors is 4752.

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 = 8205315655680/(1x4752)

LCM = 8205315655680/4752

LCM = 1726707840

Thus, we can understand that the LCM of 858,165,993,456,128 is 1726707840.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 858, 165, 993, 456, 128

1. What is the LCM of 858, 165, 993, 456, 128?

Answer: LCM of 858, 165, 993, 456, 128 is 1726707840.

2. How to calculate the LCM of 858, 165, 993, 456, 128?

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 858, 165, 993, 456, 128.

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}.