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LCM of 679, 506, 722, 132

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


Find the LCM of 679, 506, 722, 132 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 679, 506, 722, 132. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 679,506,722,132

Given numbers are 679,506,722,132

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

The LCM of 679,506,722,132 is 744181284.

Find LCM of 679,506,722,132 with Prime Factorization


2 679, 506, 722, 132
11 679, 253, 361, 66
679, 23, 361, 6

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

2 x 11 x 679 x 23 x 361 x 6 = 744181284

Therefore, the lowest common multiple of 679,506,722,132 is 744181284.

LCM Formula to Find Lowest Common Multiple of 679,506,722,132

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.

679 x 506 x 722 x 132 = 32743976496

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.

679 : 1, 7, 97, 679

506 : 1, 2, 11, 22, 23, 46, 253, 506

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

132 : 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 679,506,722,132, is 1.

Now, the common factors can be found like this.

679:7x 97

506:2x 11x 23

722:2x 19x 19

132:2x 2x 3x 11

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 11 = 44

Therefore, the value for common factors is 44.

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 = 32743976496/(1x44)

LCM = 32743976496/44

LCM = 744181284

Thus, we can understand that the LCM of 679,506,722,132 is 744181284.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 679, 506, 722, 132

1. What is the LCM of 679, 506, 722, 132?

Answer: LCM of 679, 506, 722, 132 is 744181284.

2. How to calculate the LCM of 679, 506, 722, 132?

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 679, 506, 722, 132.

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}.