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LCM of 574, 762, 893, 427

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


Find the LCM of 574, 762, 893, 427 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 574, 762, 893, 427. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 574,762,893,427

Given numbers are 574,762,893,427

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

The LCM of 574,762,893,427 is 11912918262.

Find LCM of 574,762,893,427 with Prime Factorization


2 574, 762, 893, 427
7 287, 381, 893, 427
41, 381, 893, 61

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

2 x 7 x 41 x 381 x 893 x 61 = 11912918262

Therefore, the lowest common multiple of 574,762,893,427 is 11912918262.

LCM Formula to Find Lowest Common Multiple of 574,762,893,427

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.

574 x 762 x 893 x 427 = 166780855668

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.

574 : 1, 2, 7, 14, 41, 82, 287, 574

762 : 1, 2, 3, 6, 127, 254, 381, 762

893 : 1, 19, 47, 893

427 : 1, 7, 61, 427

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 574,762,893,427, is 1.

Now, the common factors can be found like this.

574:2x 7x 41

762:2x 3x 127

893:19x 47

427:7x 61

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

2x 7 = 14

Therefore, the value for common factors is 14.

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 = 166780855668/(1x14)

LCM = 166780855668/14

LCM = 11912918262

Thus, we can understand that the LCM of 574,762,893,427 is 11912918262.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 574, 762, 893, 427

1. What is the LCM of 574, 762, 893, 427?

Answer: LCM of 574, 762, 893, 427 is 11912918262.

2. How to calculate the LCM of 574, 762, 893, 427?

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 574, 762, 893, 427.

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}.