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LCM of 38, 94, 38, 874

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


Find the LCM of 38, 94, 38, 874 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 38, 94, 38, 874. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 38,94,38,874

Given numbers are 38,94,38,874

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

The LCM of 38,94,38,874 is 41078.

Find LCM of 38,94,38,874 with Prime Factorization


2 38, 94, 38, 874
19 19, 47, 19, 437
1, 47, 1, 23

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

2 x 19 x 1 x 47 x 1 x 23 = 41078

Therefore, the lowest common multiple of 38,94,38,874 is 41078.

LCM Formula to Find Lowest Common Multiple of 38,94,38,874

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.

38 x 94 x 38 x 874 = 118633264

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.

38 : 1, 2, 19, 38

94 : 1, 2, 47, 94

38 : 1, 2, 19, 38

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 38,94,38,874, is 2.

Now, the common factors can be found like this.

38:2x 19

94:2x 47

38:2x 19

874:2x 19x 23

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 19x 19 = 1444

Therefore, the value for common factors is 1444.

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 = 118633264/(2x1444)

LCM = 118633264/2888

LCM = 41078

Thus, we can understand that the LCM of 38,94,38,874 is 41078.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 38, 94, 38, 874

1. What is the LCM of 38, 94, 38, 874?

Answer: LCM of 38, 94, 38, 874 is 41078.

2. How to calculate the LCM of 38, 94, 38, 874?

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 38, 94, 38, 874.

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}.