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LCM of 864, 824, 473, 103

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


Find the LCM of 864, 824, 473, 103 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 864, 824, 473, 103. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 864,824,473,103

Given numbers are 864,824,473,103

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

The LCM of 864,824,473,103 is 42093216.

Find LCM of 864,824,473,103 with Prime Factorization


2 864, 824, 473, 103
2 432, 412, 473, 103
2 216, 206, 473, 103
103 108, 103, 473, 103
108, 1, 473, 1

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

2 x 2 x 2 x 103 x 108 x 1 x 473 x 1 = 42093216

Therefore, the lowest common multiple of 864,824,473,103 is 42093216.

LCM Formula to Find Lowest Common Multiple of 864,824,473,103

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.

864 x 824 x 473 x 103 = 34684809984

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.

864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

824 : 1, 2, 4, 8, 103, 206, 412, 824

473 : 1, 11, 43, 473

103 : 1, 103

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 864,824,473,103, is 1.

Now, the common factors can be found like this.

864:2x 2x 2x 2x 2x 3x 3x 3

824:2x 2x 2x 103

473:11x 43

103:103

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 103 = 824

Therefore, the value for common factors is 824.

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 = 34684809984/(1x824)

LCM = 34684809984/824

LCM = 42093216

Thus, we can understand that the LCM of 864,824,473,103 is 42093216.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 864, 824, 473, 103

1. What is the LCM of 864, 824, 473, 103?

Answer: LCM of 864, 824, 473, 103 is 42093216.

2. How to calculate the LCM of 864, 824, 473, 103?

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 864, 824, 473, 103.

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}.