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 256, 334, 438, 269

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


Find the LCM of 256, 334, 438, 269 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 256, 334, 438, 269. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 256,334,438,269

Given numbers are 256,334,438,269

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

The LCM of 256,334,438,269 is 2518563072.

Find LCM of 256,334,438,269 with Prime Factorization


2 256, 334, 438, 269
128, 167, 219, 269

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

2 x 128 x 167 x 219 x 269 = 2518563072

Therefore, the lowest common multiple of 256,334,438,269 is 2518563072.

LCM Formula to Find Lowest Common Multiple of 256,334,438,269

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.

256 x 334 x 438 x 269 = 10074252288

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.

256 : 1, 2, 4, 8, 16, 32, 64, 128, 256

334 : 1, 2, 167, 334

438 : 1, 2, 3, 6, 73, 146, 219, 438

269 : 1, 269

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 256,334,438,269, is 1.

Now, the common factors can be found like this.

256:2x 2x 2x 2x 2x 2x 2x 2

334:2x 167

438:2x 3x 73

269:269

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 10074252288/(1x4)

LCM = 10074252288/4

LCM = 2518563072

Thus, we can understand that the LCM of 256,334,438,269 is 2518563072.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 256, 334, 438, 269

1. What is the LCM of 256, 334, 438, 269?

Answer: LCM of 256, 334, 438, 269 is 2518563072.

2. How to calculate the LCM of 256, 334, 438, 269?

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 256, 334, 438, 269.

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}.