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LCM of 437, 736, 759, 136, 349

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


Find the LCM of 437, 736, 759, 136, 349 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 437, 736, 759, 136, 349. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 437,736,759,136,349

Given numbers are 437,736,759,136,349

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

The LCM of 437,736,759,136,349 is 2737913376.

Find LCM of 437,736,759,136,349 with Prime Factorization


2 437, 736, 759, 136, 349
2 437, 368, 759, 68, 349
2 437, 184, 759, 34, 349
23 437, 92, 759, 17, 349
19, 4, 33, 17, 349

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

2 x 2 x 2 x 23 x 19 x 4 x 33 x 17 x 349 = 2737913376

Therefore, the lowest common multiple of 437,736,759,136,349 is 2737913376.

LCM Formula to Find Lowest Common Multiple of 437,736,759,136,349

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.

437 x 736 x 759 x 136 x 349 = 11586849407232

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.

437 : 1, 19, 23, 437

736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

759 : 1, 3, 11, 23, 33, 69, 253, 759

136 : 1, 2, 4, 8, 17, 34, 68, 136

349 : 1, 349

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 437,736,759,136,349, is 1.

Now, the common factors can be found like this.

437:19x 23

736:2x 2x 2x 2x 2x 23

759:3x 11x 23

136:2x 2x 2x 17

349:349

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 23x 23 = 4232

Therefore, the value for common factors is 4232.

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 = 11586849407232/(1x4232)

LCM = 11586849407232/4232

LCM = 2737913376

Thus, we can understand that the LCM of 437,736,759,136,349 is 2737913376.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 437, 736, 759, 136, 349

1. What is the LCM of 437, 736, 759, 136, 349?

Answer: LCM of 437, 736, 759, 136, 349 is 2737913376.

2. How to calculate the LCM of 437, 736, 759, 136, 349?

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 437, 736, 759, 136, 349.

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}.