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LCM of 230, 350, 592, 670

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


Find the LCM of 230, 350, 592, 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 230, 350, 592, 670. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 230,350,592,670

Given numbers are 230,350,592,670

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

The LCM of 230,350,592,670 is 159647600.

Find LCM of 230,350,592,670 with Prime Factorization


2 230, 350, 592, 670
5 115, 175, 296, 335
23, 35, 296, 67

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

2 x 5 x 23 x 35 x 296 x 67 = 159647600

Therefore, the lowest common multiple of 230,350,592,670 is 159647600.

LCM Formula to Find Lowest Common Multiple of 230,350,592,670

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.

230 x 350 x 592 x 670 = 31929520000

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.

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

350 : 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

592 : 1, 2, 4, 8, 16, 37, 74, 148, 296, 592

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 230,350,592,670, is 2.

Now, the common factors can be found like this.

230:2x 5x 23

350:2x 5x 5x 7

592:2x 2x 2x 2x 37

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 5x 5 = 100

Therefore, the value for common factors is 100.

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 = 31929520000/(2x100)

LCM = 31929520000/200

LCM = 159647600

Thus, we can understand that the LCM of 230,350,592,670 is 159647600.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 230, 350, 592, 670

1. What is the LCM of 230, 350, 592, 670?

Answer: LCM of 230, 350, 592, 670 is 159647600.

2. How to calculate the LCM of 230, 350, 592, 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 230, 350, 592, 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}.