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LCM of 973, 556, 230, 618

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


Find the LCM of 973, 556, 230, 618 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 973, 556, 230, 618. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 973,556,230,618

Given numbers are 973,556,230,618

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

The LCM of 973,556,230,618 is 138302220.

Find LCM of 973,556,230,618 with Prime Factorization


2 973, 556, 230, 618
139 973, 278, 115, 309
7, 2, 115, 309

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

2 x 139 x 7 x 2 x 115 x 309 = 138302220

Therefore, the lowest common multiple of 973,556,230,618 is 138302220.

LCM Formula to Find Lowest Common Multiple of 973,556,230,618

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.

973 x 556 x 230 x 618 = 76896034320

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.

973 : 1, 7, 139, 973

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

230 : 1, 2, 5, 10, 23, 46, 115, 230

618 : 1, 2, 3, 6, 103, 206, 309, 618

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 973,556,230,618, is 1.

Now, the common factors can be found like this.

973:7x 139

556:2x 2x 139

230:2x 5x 23

618:2x 3x 103

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 = 76896034320/(1x556)

LCM = 76896034320/556

LCM = 138302220

Thus, we can understand that the LCM of 973,556,230,618 is 138302220.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 973, 556, 230, 618

1. What is the LCM of 973, 556, 230, 618?

Answer: LCM of 973, 556, 230, 618 is 138302220.

2. How to calculate the LCM of 973, 556, 230, 618?

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 973, 556, 230, 618.

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}.