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LCM of 723, 941, 556, 538, 902

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


Find the LCM of 723, 941, 556, 538, 902 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 723, 941, 556, 538, 902. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 723,941,556,538,902

Given numbers are 723,941,556,538,902

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

The LCM of 723,941,556,538,902 is 45891424023852.

Find LCM of 723,941,556,538,902 with Prime Factorization


2 723, 941, 556, 538, 902
723, 941, 278, 269, 451

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

2 x 723 x 941 x 278 x 269 x 451 = 45891424023852

Therefore, the lowest common multiple of 723,941,556,538,902 is 45891424023852.

LCM Formula to Find Lowest Common Multiple of 723,941,556,538,902

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.

723 x 941 x 556 x 538 x 902 = 183565696095408

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.

723 : 1, 3, 241, 723

941 : 1, 941

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

538 : 1, 2, 269, 538

902 : 1, 2, 11, 22, 41, 82, 451, 902

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 723,941,556,538,902, is 1.

Now, the common factors can be found like this.

723:3x 241

941:941

556:2x 2x 139

538:2x 269

902:2x 11x 41

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 = 183565696095408/(1x4)

LCM = 183565696095408/4

LCM = 45891424023852

Thus, we can understand that the LCM of 723,941,556,538,902 is 45891424023852.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 723, 941, 556, 538, 902

1. What is the LCM of 723, 941, 556, 538, 902?

Answer: LCM of 723, 941, 556, 538, 902 is 45891424023852.

2. How to calculate the LCM of 723, 941, 556, 538, 902?

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 723, 941, 556, 538, 902.

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}.