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LCM of 471, 206, 390, 750

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


Find the LCM of 471, 206, 390, 750 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 471, 206, 390, 750. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 471,206,390,750

Given numbers are 471,206,390,750

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

The LCM of 471,206,390,750 is 157667250.

Find LCM of 471,206,390,750 with Prime Factorization


2 471, 206, 390, 750
3 471, 103, 195, 375
5 157, 103, 65, 125
157, 103, 13, 25

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

2 x 3 x 5 x 157 x 103 x 13 x 25 = 157667250

Therefore, the lowest common multiple of 471,206,390,750 is 157667250.

LCM Formula to Find Lowest Common Multiple of 471,206,390,750

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.

471 x 206 x 390 x 750 = 28380105000

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.

471 : 1, 3, 157, 471

206 : 1, 2, 103, 206

390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 471,206,390,750, is 1.

Now, the common factors can be found like this.

471:3x 157

206:2x 103

390:2x 3x 5x 13

750:2x 3x 5x 5x 5

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 3x 3x 5 = 180

Therefore, the value for common factors is 180.

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 = 28380105000/(1x180)

LCM = 28380105000/180

LCM = 157667250

Thus, we can understand that the LCM of 471,206,390,750 is 157667250.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 471, 206, 390, 750

1. What is the LCM of 471, 206, 390, 750?

Answer: LCM of 471, 206, 390, 750 is 157667250.

2. How to calculate the LCM of 471, 206, 390, 750?

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 471, 206, 390, 750.

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}.