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LCM of 892, 266, 372, 478

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


Find the LCM of 892, 266, 372, 478 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 892, 266, 372, 478. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 892,266,372,478

Given numbers are 892,266,372,478

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

The LCM of 892,266,372,478 is 2636922372.

Find LCM of 892,266,372,478 with Prime Factorization


2 892, 266, 372, 478
2 446, 133, 186, 239
223, 133, 93, 239

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

2 x 2 x 223 x 133 x 93 x 239 = 2636922372

Therefore, the lowest common multiple of 892,266,372,478 is 2636922372.

LCM Formula to Find Lowest Common Multiple of 892,266,372,478

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.

892 x 266 x 372 x 478 = 42190757952

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.

892 : 1, 2, 4, 223, 446, 892

266 : 1, 2, 7, 14, 19, 38, 133, 266

372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

478 : 1, 2, 239, 478

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 892,266,372,478, is 2.

Now, the common factors can be found like this.

892:2x 2x 223

266:2x 7x 19

372:2x 2x 3x 31

478:2x 239

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 2 = 8

Therefore, the value for common factors is 8.

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 = 42190757952/(2x8)

LCM = 42190757952/16

LCM = 2636922372

Thus, we can understand that the LCM of 892,266,372,478 is 2636922372.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 892, 266, 372, 478

1. What is the LCM of 892, 266, 372, 478?

Answer: LCM of 892, 266, 372, 478 is 2636922372.

2. How to calculate the LCM of 892, 266, 372, 478?

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 892, 266, 372, 478.

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}.