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LCM of 69, 874, 934

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


Find the LCM of 69, 874, 934 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 69, 874, 934. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 69,874,934

Given numbers are 69,874,934

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

The LCM of 69,874,934 is 1224474.

Find LCM of 69,874,934 with Prime Factorization


2 69, 874, 934
23 69, 437, 467
3, 19, 467

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

2 x 23 x 3 x 19 x 467 = 1224474

Therefore, the lowest common multiple of 69,874,934 is 1224474.

LCM Formula to Find Lowest Common Multiple of 69,874,934

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.

69 x 874 x 934 = 56325804

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.

69 : 1, 3, 23, 69

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

934 : 1, 2, 467, 934

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 69,874,934, is 1.

Now, the common factors can be found like this.

69:3x 23

874:2x 19x 23

934:2x 467

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

2x 23 = 46

Therefore, the value for common factors is 46.

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 = 56325804/(1x46)

LCM = 56325804/46

LCM = 1224474

Thus, we can understand that the LCM of 69,874,934 is 1224474.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 69, 874, 934

1. What is the LCM of 69, 874, 934?

Answer: LCM of 69, 874, 934 is 1224474.

2. How to calculate the LCM of 69, 874, 934?

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 69, 874, 934.

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}.