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LCM of 348, 723, 940, 240

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


Find the LCM of 348, 723, 940, 240 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 348, 723, 940, 240. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 348,723,940,240

Given numbers are 348,723,940,240

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

The LCM of 348,723,940,240 is 78835920.

Find LCM of 348,723,940,240 with Prime Factorization


2 348, 723, 940, 240
2 174, 723, 470, 120
3 87, 723, 235, 60
5 29, 241, 235, 20
29, 241, 47, 4

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

2 x 2 x 3 x 5 x 29 x 241 x 47 x 4 = 78835920

Therefore, the lowest common multiple of 348,723,940,240 is 78835920.

LCM Formula to Find Lowest Common Multiple of 348,723,940,240

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.

348 x 723 x 940 x 240 = 56761862400

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.

348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

723 : 1, 3, 241, 723

940 : 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 348,723,940,240, is 1.

Now, the common factors can be found like this.

348:2x 2x 3x 29

723:3x 241

940:2x 2x 5x 47

240:2x 2x 2x 2x 3x 5

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 2x 3x 3x 5 = 720

Therefore, the value for common factors is 720.

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 = 56761862400/(1x720)

LCM = 56761862400/720

LCM = 78835920

Thus, we can understand that the LCM of 348,723,940,240 is 78835920.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 348, 723, 940, 240

1. What is the LCM of 348, 723, 940, 240?

Answer: LCM of 348, 723, 940, 240 is 78835920.

2. How to calculate the LCM of 348, 723, 940, 240?

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 348, 723, 940, 240.

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}.