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LCM of 369, 334, 737, 638

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


Find the LCM of 369, 334, 737, 638 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 369, 334, 737, 638. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 369,334,737,638

Given numbers are 369,334,737,638

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

The LCM of 369,334,737,638 is 2634136758.

Find LCM of 369,334,737,638 with Prime Factorization


2 369, 334, 737, 638
11 369, 167, 737, 319
369, 167, 67, 29

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

2 x 11 x 369 x 167 x 67 x 29 = 2634136758

Therefore, the lowest common multiple of 369,334,737,638 is 2634136758.

LCM Formula to Find Lowest Common Multiple of 369,334,737,638

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.

369 x 334 x 737 x 638 = 57951008676

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.

369 : 1, 3, 9, 41, 123, 369

334 : 1, 2, 167, 334

737 : 1, 11, 67, 737

638 : 1, 2, 11, 22, 29, 58, 319, 638

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 369,334,737,638, is 1.

Now, the common factors can be found like this.

369:3x 3x 41

334:2x 167

737:11x 67

638:2x 11x 29

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

2x 11 = 22

Therefore, the value for common factors is 22.

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 = 57951008676/(1x22)

LCM = 57951008676/22

LCM = 2634136758

Thus, we can understand that the LCM of 369,334,737,638 is 2634136758.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 369, 334, 737, 638

1. What is the LCM of 369, 334, 737, 638?

Answer: LCM of 369, 334, 737, 638 is 2634136758.

2. How to calculate the LCM of 369, 334, 737, 638?

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 369, 334, 737, 638.

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}.