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LCM of 946, 738, 131, 556

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


Find the LCM of 946, 738, 131, 556 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 946, 738, 131, 556. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 946,738,131,556

Given numbers are 946,738,131,556

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

The LCM of 946,738,131,556 is 12712576932.

Find LCM of 946,738,131,556 with Prime Factorization


2 946, 738, 131, 556
473, 369, 131, 278

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

2 x 473 x 369 x 131 x 278 = 12712576932

Therefore, the lowest common multiple of 946,738,131,556 is 12712576932.

LCM Formula to Find Lowest Common Multiple of 946,738,131,556

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.

946 x 738 x 131 x 556 = 50850307728

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.

946 : 1, 2, 11, 22, 43, 86, 473, 946

738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

131 : 1, 131

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 946,738,131,556, is 1.

Now, the common factors can be found like this.

946:2x 11x 43

738:2x 3x 3x 41

131:131

556:2x 2x 139

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 = 50850307728/(1x4)

LCM = 50850307728/4

LCM = 12712576932

Thus, we can understand that the LCM of 946,738,131,556 is 12712576932.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 946, 738, 131, 556

1. What is the LCM of 946, 738, 131, 556?

Answer: LCM of 946, 738, 131, 556 is 12712576932.

2. How to calculate the LCM of 946, 738, 131, 556?

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 946, 738, 131, 556.

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}.