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LCM of 926, 759, 614, 436

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


Find the LCM of 926, 759, 614, 436 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 926, 759, 614, 436. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 926,759,614,436

Given numbers are 926,759,614,436

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

The LCM of 926,759,614,436 is 47037868284.

Find LCM of 926,759,614,436 with Prime Factorization


2 926, 759, 614, 436
463, 759, 307, 218

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

2 x 463 x 759 x 307 x 218 = 47037868284

Therefore, the lowest common multiple of 926,759,614,436 is 47037868284.

LCM Formula to Find Lowest Common Multiple of 926,759,614,436

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.

926 x 759 x 614 x 436 = 188151473136

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.

926 : 1, 2, 463, 926

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

614 : 1, 2, 307, 614

436 : 1, 2, 4, 109, 218, 436

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 926,759,614,436, is 1.

Now, the common factors can be found like this.

926:2x 463

759:3x 11x 23

614:2x 307

436:2x 2x 109

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 188151473136/(1x4)

LCM = 188151473136/4

LCM = 47037868284

Thus, we can understand that the LCM of 926,759,614,436 is 47037868284.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 926, 759, 614, 436

1. What is the LCM of 926, 759, 614, 436?

Answer: LCM of 926, 759, 614, 436 is 47037868284.

2. How to calculate the LCM of 926, 759, 614, 436?

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 926, 759, 614, 436.

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}.