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LCM of 268, 347, 556, 932

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


Find the LCM of 268, 347, 556, 932 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 268, 347, 556, 932. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 268,347,556,932

Given numbers are 268,347,556,932

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

The LCM of 268,347,556,932 is 3011861452.

Find LCM of 268,347,556,932 with Prime Factorization


2 268, 347, 556, 932
2 134, 347, 278, 466
67, 347, 139, 233

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

2 x 2 x 67 x 347 x 139 x 233 = 3011861452

Therefore, the lowest common multiple of 268,347,556,932 is 3011861452.

LCM Formula to Find Lowest Common Multiple of 268,347,556,932

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.

268 x 347 x 556 x 932 = 48189783232

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.

268 : 1, 2, 4, 67, 134, 268

347 : 1, 347

556 : 1, 2, 4, 139, 278, 556

932 : 1, 2, 4, 233, 466, 932

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 268,347,556,932, is 1.

Now, the common factors can be found like this.

268:2x 2x 67

347:347

556:2x 2x 139

932:2x 2x 233

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 2 = 16

Therefore, the value for common factors is 16.

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 = 48189783232/(1x16)

LCM = 48189783232/16

LCM = 3011861452

Thus, we can understand that the LCM of 268,347,556,932 is 3011861452.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 268, 347, 556, 932

1. What is the LCM of 268, 347, 556, 932?

Answer: LCM of 268, 347, 556, 932 is 3011861452.

2. How to calculate the LCM of 268, 347, 556, 932?

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 268, 347, 556, 932.

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}.