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LCM of 670, 138, 438, 871

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


Find the LCM of 670, 138, 438, 871 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 670, 138, 438, 871. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 670,138,438,871

Given numbers are 670,138,438,871

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

The LCM of 670,138,438,871 is 43872270.

Find LCM of 670,138,438,871 with Prime Factorization


2 670, 138, 438, 871
3 335, 69, 219, 871
67 335, 23, 73, 871
5, 23, 73, 13

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

2 x 3 x 67 x 5 x 23 x 73 x 13 = 43872270

Therefore, the lowest common multiple of 670,138,438,871 is 43872270.

LCM Formula to Find Lowest Common Multiple of 670,138,438,871

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.

670 x 138 x 438 x 871 = 35273305080

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.

670 : 1, 2, 5, 10, 67, 134, 335, 670

138 : 1, 2, 3, 6, 23, 46, 69, 138

438 : 1, 2, 3, 6, 73, 146, 219, 438

871 : 1, 13, 67, 871

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 670,138,438,871, is 1.

Now, the common factors can be found like this.

670:2x 5x 67

138:2x 3x 23

438:2x 3x 73

871:13x 67

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 3x 67 = 804

Therefore, the value for common factors is 804.

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 = 35273305080/(1x804)

LCM = 35273305080/804

LCM = 43872270

Thus, we can understand that the LCM of 670,138,438,871 is 43872270.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 670, 138, 438, 871

1. What is the LCM of 670, 138, 438, 871?

Answer: LCM of 670, 138, 438, 871 is 43872270.

2. How to calculate the LCM of 670, 138, 438, 871?

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 670, 138, 438, 871.

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}.