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LCM of 711, 908, 722

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


Find the LCM of 711, 908, 722 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 711, 908, 722. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 711,908,722

Given numbers are 711,908,722

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

The LCM of 711,908,722 is 233057268.

Find LCM of 711,908,722 with Prime Factorization


2 711, 908, 722
711, 454, 361

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

2 x 711 x 454 x 361 = 233057268

Therefore, the lowest common multiple of 711,908,722 is 233057268.

LCM Formula to Find Lowest Common Multiple of 711,908,722

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.

711 x 908 x 722 = 466114536

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.

711 : 1, 3, 9, 79, 237, 711

908 : 1, 2, 4, 227, 454, 908

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 711,908,722, is 1.

Now, the common factors can be found like this.

711:3x 3x 79

908:2x 2x 227

722:2x 19x 19

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 = 466114536/(1x2)

LCM = 466114536/2

LCM = 233057268

Thus, we can understand that the LCM of 711,908,722 is 233057268.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 711, 908, 722

1. What is the LCM of 711, 908, 722?

Answer: LCM of 711, 908, 722 is 233057268.

2. How to calculate the LCM of 711, 908, 722?

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 711, 908, 722.

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}.