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LCM of 737, 268, 664

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


Find the LCM of 737, 268, 664 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 737, 268, 664. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 737,268,664

Given numbers are 737,268,664

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

The LCM of 737,268,664 is 489368.

Find LCM of 737,268,664 with Prime Factorization


2 737, 268, 664
2 737, 134, 332
67 737, 67, 166
11, 1, 166

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

2 x 2 x 67 x 11 x 1 x 166 = 489368

Therefore, the lowest common multiple of 737,268,664 is 489368.

LCM Formula to Find Lowest Common Multiple of 737,268,664

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.

737 x 268 x 664 = 131150624

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.

737 : 1, 11, 67, 737

268 : 1, 2, 4, 67, 134, 268

664 : 1, 2, 4, 8, 83, 166, 332, 664

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 737,268,664, is 1.

Now, the common factors can be found like this.

737:11x 67

268:2x 2x 67

664:2x 2x 2x 83

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 67 = 268

Therefore, the value for common factors is 268.

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 = 131150624/(1x268)

LCM = 131150624/268

LCM = 489368

Thus, we can understand that the LCM of 737,268,664 is 489368.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 737, 268, 664

1. What is the LCM of 737, 268, 664?

Answer: LCM of 737, 268, 664 is 489368.

2. How to calculate the LCM of 737, 268, 664?

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 737, 268, 664.

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}.