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LCM of 312, 556, 669, 747

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


Find the LCM of 312, 556, 669, 747 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 312, 556, 669, 747. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 312,556,669,747

Given numbers are 312,556,669,747

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

The LCM of 312,556,669,747 is 2408094936.

Find LCM of 312,556,669,747 with Prime Factorization


2 312, 556, 669, 747
2 156, 278, 669, 747
3 78, 139, 669, 747
26, 139, 223, 249

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

2 x 2 x 3 x 26 x 139 x 223 x 249 = 2408094936

Therefore, the lowest common multiple of 312,556,669,747 is 2408094936.

LCM Formula to Find Lowest Common Multiple of 312,556,669,747

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.

312 x 556 x 669 x 747 = 86691417696

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.

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

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

669 : 1, 3, 223, 669

747 : 1, 3, 9, 83, 249, 747

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 312,556,669,747, is 1.

Now, the common factors can be found like this.

312:2x 2x 2x 3x 13

556:2x 2x 139

669:3x 223

747:3x 3x 83

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 3x 3 = 36

Therefore, the value for common factors is 36.

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 = 86691417696/(1x36)

LCM = 86691417696/36

LCM = 2408094936

Thus, we can understand that the LCM of 312,556,669,747 is 2408094936.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 312, 556, 669, 747

1. What is the LCM of 312, 556, 669, 747?

Answer: LCM of 312, 556, 669, 747 is 2408094936.

2. How to calculate the LCM of 312, 556, 669, 747?

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 312, 556, 669, 747.

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}.