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LCM of 428, 930, 473, 833

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


Find the LCM of 428, 930, 473, 833 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 428, 930, 473, 833. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 428,930,473,833

Given numbers are 428,930,473,833

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

The LCM of 428,930,473,833 is 78415671180.

Find LCM of 428,930,473,833 with Prime Factorization


2 428, 930, 473, 833
214, 465, 473, 833

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

2 x 214 x 465 x 473 x 833 = 78415671180

Therefore, the lowest common multiple of 428,930,473,833 is 78415671180.

LCM Formula to Find Lowest Common Multiple of 428,930,473,833

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.

428 x 930 x 473 x 833 = 156831342360

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.

428 : 1, 2, 4, 107, 214, 428

930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930

473 : 1, 11, 43, 473

833 : 1, 7, 17, 49, 119, 833

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 428,930,473,833, is 1.

Now, the common factors can be found like this.

428:2x 2x 107

930:2x 3x 5x 31

473:11x 43

833:7x 7x 17

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2 = 2

Therefore, the value for common factors is 2.

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 = 156831342360/(1x2)

LCM = 156831342360/2

LCM = 78415671180

Thus, we can understand that the LCM of 428,930,473,833 is 78415671180.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 428, 930, 473, 833

1. What is the LCM of 428, 930, 473, 833?

Answer: LCM of 428, 930, 473, 833 is 78415671180.

2. How to calculate the LCM of 428, 930, 473, 833?

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 428, 930, 473, 833.

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}.