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LCM of 406, 100, 460, 747

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


Find the LCM of 406, 100, 460, 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 406, 100, 460, 747. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 406,100,460,747

Given numbers are 406,100,460,747

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

The LCM of 406,100,460,747 is 348774300.

Find LCM of 406,100,460,747 with Prime Factorization


2 406, 100, 460, 747
2 203, 50, 230, 747
5 203, 25, 115, 747
203, 5, 23, 747

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

2 x 2 x 5 x 203 x 5 x 23 x 747 = 348774300

Therefore, the lowest common multiple of 406,100,460,747 is 348774300.

LCM Formula to Find Lowest Common Multiple of 406,100,460,747

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.

406 x 100 x 460 x 747 = 13950972000

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.

406 : 1, 2, 7, 14, 29, 58, 203, 406

100 : 1, 2, 4, 5, 10, 20, 25, 50, 100

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

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 406,100,460,747, is 1.

Now, the common factors can be found like this.

406:2x 7x 29

100:2x 2x 5x 5

460:2x 2x 5x 23

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 2x 5 = 40

Therefore, the value for common factors is 40.

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 = 13950972000/(1x40)

LCM = 13950972000/40

LCM = 348774300

Thus, we can understand that the LCM of 406,100,460,747 is 348774300.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 406, 100, 460, 747

1. What is the LCM of 406, 100, 460, 747?

Answer: LCM of 406, 100, 460, 747 is 348774300.

2. How to calculate the LCM of 406, 100, 460, 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 406, 100, 460, 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}.