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LCM of 180, 491, 973, 556

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


Find the LCM of 180, 491, 973, 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 180, 491, 973, 556. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 180,491,973,556

Given numbers are 180,491,973,556

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

The LCM of 180,491,973,556 is 85993740.

Find LCM of 180,491,973,556 with Prime Factorization


2 180, 491, 973, 556
2 90, 491, 973, 278
139 45, 491, 973, 139
45, 491, 7, 1

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

2 x 2 x 139 x 45 x 491 x 7 x 1 = 85993740

Therefore, the lowest common multiple of 180,491,973,556 is 85993740.

LCM Formula to Find Lowest Common Multiple of 180,491,973,556

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.

180 x 491 x 973 x 556 = 47812519440

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.

180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

491 : 1, 491

973 : 1, 7, 139, 973

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 180,491,973,556, is 1.

Now, the common factors can be found like this.

180:2x 2x 3x 3x 5

491:491

973:7x 139

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 2x 139 = 556

Therefore, the value for common factors is 556.

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 = 47812519440/(1x556)

LCM = 47812519440/556

LCM = 85993740

Thus, we can understand that the LCM of 180,491,973,556 is 85993740.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 180, 491, 973, 556

1. What is the LCM of 180, 491, 973, 556?

Answer: LCM of 180, 491, 973, 556 is 85993740.

2. How to calculate the LCM of 180, 491, 973, 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 180, 491, 973, 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}.