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LCM of 678, 443, 668, 934, 103

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


Find the LCM of 678, 443, 668, 934, 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 678, 443, 668, 934, 103. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 678,443,668,934,103

Given numbers are 678,443,668,934,103

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

The LCM of 678,443,668,934,103 is 4825407469836.

Find LCM of 678,443,668,934,103 with Prime Factorization


2 678, 443, 668, 934, 103
339, 443, 334, 467, 103

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

2 x 339 x 443 x 334 x 467 x 103 = 4825407469836

Therefore, the lowest common multiple of 678,443,668,934,103 is 4825407469836.

LCM Formula to Find Lowest Common Multiple of 678,443,668,934,103

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.

678 x 443 x 668 x 934 x 103 = 19301629879344

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.

678 : 1, 2, 3, 6, 113, 226, 339, 678

443 : 1, 443

668 : 1, 2, 4, 167, 334, 668

934 : 1, 2, 467, 934

103 : 1, 103

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 678,443,668,934,103, is 1.

Now, the common factors can be found like this.

678:2x 3x 113

443:443

668:2x 2x 167

934:2x 467

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 2 = 4

Therefore, the value for common factors is 4.

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 = 19301629879344/(1x4)

LCM = 19301629879344/4

LCM = 4825407469836

Thus, we can understand that the LCM of 678,443,668,934,103 is 4825407469836.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 678, 443, 668, 934, 103

1. What is the LCM of 678, 443, 668, 934, 103?

Answer: LCM of 678, 443, 668, 934, 103 is 4825407469836.

2. How to calculate the LCM of 678, 443, 668, 934, 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 678, 443, 668, 934, 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}.