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LCM of 536, 460, 745, 283, 670

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


Find the LCM of 536, 460, 745, 283, 670 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 536, 460, 745, 283, 670. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 536,460,745,283,670

Given numbers are 536,460,745,283,670

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

The LCM of 536,460,745,283,670 is 2599173880.

Find LCM of 536,460,745,283,670 with Prime Factorization


2 536, 460, 745, 283, 670
2 268, 230, 745, 283, 335
5 134, 115, 745, 283, 335
67 134, 23, 149, 283, 67
2, 23, 149, 283, 1

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

2 x 2 x 5 x 67 x 2 x 23 x 149 x 283 x 1 = 2599173880

Therefore, the lowest common multiple of 536,460,745,283,670 is 2599173880.

LCM Formula to Find Lowest Common Multiple of 536,460,745,283,670

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.

536 x 460 x 745 x 283 x 670 = 34828929992000

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.

536 : 1, 2, 4, 8, 67, 134, 268, 536

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

745 : 1, 5, 149, 745

283 : 1, 283

670 : 1, 2, 5, 10, 67, 134, 335, 670

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 536,460,745,283,670, is 1.

Now, the common factors can be found like this.

536:2x 2x 2x 67

460:2x 2x 5x 23

745:5x 149

283:283

670:2x 5x 67

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 5x 5x 67 = 13400

Therefore, the value for common factors is 13400.

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 = 34828929992000/(1x13400)

LCM = 34828929992000/13400

LCM = 2599173880

Thus, we can understand that the LCM of 536,460,745,283,670 is 2599173880.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 536, 460, 745, 283, 670

1. What is the LCM of 536, 460, 745, 283, 670?

Answer: LCM of 536, 460, 745, 283, 670 is 2599173880.

2. How to calculate the LCM of 536, 460, 745, 283, 670?

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 536, 460, 745, 283, 670.

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}.