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LCM of 705, 691, 722, 896

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


Find the LCM of 705, 691, 722, 896 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 705, 691, 722, 896. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 705,691,722,896

Given numbers are 705,691,722,896

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

The LCM of 705,691,722,896 is 157573207680.

Find LCM of 705,691,722,896 with Prime Factorization


2 705, 691, 722, 896
705, 691, 361, 448

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

2 x 705 x 691 x 361 x 448 = 157573207680

Therefore, the lowest common multiple of 705,691,722,896 is 157573207680.

LCM Formula to Find Lowest Common Multiple of 705,691,722,896

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.

705 x 691 x 722 x 896 = 315146415360

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.

705 : 1, 3, 5, 15, 47, 141, 235, 705

691 : 1, 691

722 : 1, 2, 19, 38, 361, 722

896 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 705,691,722,896, is 1.

Now, the common factors can be found like this.

705:3x 5x 47

691:691

722:2x 19x 19

896:2x 2x 2x 2x 2x 2x 2x 7

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

2 = 2

Therefore, the value for common factors is 2.

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 = 315146415360/(1x2)

LCM = 315146415360/2

LCM = 157573207680

Thus, we can understand that the LCM of 705,691,722,896 is 157573207680.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 705, 691, 722, 896

1. What is the LCM of 705, 691, 722, 896?

Answer: LCM of 705, 691, 722, 896 is 157573207680.

2. How to calculate the LCM of 705, 691, 722, 896?

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 705, 691, 722, 896.

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}.