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LCM of 412, 874, 671, 748

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


Find the LCM of 412, 874, 671, 748 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 412, 874, 671, 748. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 412,874,671,748

Given numbers are 412,874,671,748

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

The LCM of 412,874,671,748 is 2053761908.

Find LCM of 412,874,671,748 with Prime Factorization


2 412, 874, 671, 748
2 206, 437, 671, 374
11 103, 437, 671, 187
103, 437, 61, 17

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

2 x 2 x 11 x 103 x 437 x 61 x 17 = 2053761908

Therefore, the lowest common multiple of 412,874,671,748 is 2053761908.

LCM Formula to Find Lowest Common Multiple of 412,874,671,748

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.

412 x 874 x 671 x 748 = 180731047904

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.

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

874 : 1, 2, 19, 23, 38, 46, 437, 874

671 : 1, 11, 61, 671

748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 412,874,671,748, is 1.

Now, the common factors can be found like this.

412:2x 2x 103

874:2x 19x 23

671:11x 61

748:2x 2x 11x 17

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 11 = 88

Therefore, the value for common factors is 88.

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 = 180731047904/(1x88)

LCM = 180731047904/88

LCM = 2053761908

Thus, we can understand that the LCM of 412,874,671,748 is 2053761908.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 412, 874, 671, 748

1. What is the LCM of 412, 874, 671, 748?

Answer: LCM of 412, 874, 671, 748 is 2053761908.

2. How to calculate the LCM of 412, 874, 671, 748?

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 412, 874, 671, 748.

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}.