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LCM of 556, 278, 343, 725

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


Find the LCM of 556, 278, 343, 725 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 556, 278, 343, 725. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 556,278,343,725

Given numbers are 556,278,343,725

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

The LCM of 556,278,343,725 is 138263300.

Find LCM of 556,278,343,725 with Prime Factorization


2 556, 278, 343, 725
139 278, 139, 343, 725
2, 1, 343, 725

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

2 x 139 x 2 x 1 x 343 x 725 = 138263300

Therefore, the lowest common multiple of 556,278,343,725 is 138263300.

LCM Formula to Find Lowest Common Multiple of 556,278,343,725

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.

556 x 278 x 343 x 725 = 38437197400

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.

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

278 : 1, 2, 139, 278

343 : 1, 7, 49, 343

725 : 1, 5, 25, 29, 145, 725

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 556,278,343,725, is 1.

Now, the common factors can be found like this.

556:2x 2x 139

278:2x 139

343:7x 7x 7

725:5x 5x 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 139 = 278

Therefore, the value for common factors is 278.

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 = 38437197400/(1x278)

LCM = 38437197400/278

LCM = 138263300

Thus, we can understand that the LCM of 556,278,343,725 is 138263300.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 556, 278, 343, 725

1. What is the LCM of 556, 278, 343, 725?

Answer: LCM of 556, 278, 343, 725 is 138263300.

2. How to calculate the LCM of 556, 278, 343, 725?

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 556, 278, 343, 725.

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}.