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LCM of 722, 785, 583, 712

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


Find the LCM of 722, 785, 583, 712 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 722, 785, 583, 712. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 722,785,583,712

Given numbers are 722,785,583,712

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

The LCM of 722,785,583,712 is 117631979960.

Find LCM of 722,785,583,712 with Prime Factorization


2 722, 785, 583, 712
361, 785, 583, 356

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

2 x 361 x 785 x 583 x 356 = 117631979960

Therefore, the lowest common multiple of 722,785,583,712 is 117631979960.

LCM Formula to Find Lowest Common Multiple of 722,785,583,712

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.

722 x 785 x 583 x 712 = 235263959920

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.

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

785 : 1, 5, 157, 785

583 : 1, 11, 53, 583

712 : 1, 2, 4, 8, 89, 178, 356, 712

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 722,785,583,712, is 1.

Now, the common factors can be found like this.

722:2x 19x 19

785:5x 157

583:11x 53

712:2x 2x 2x 89

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 = 235263959920/(1x2)

LCM = 235263959920/2

LCM = 117631979960

Thus, we can understand that the LCM of 722,785,583,712 is 117631979960.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 722, 785, 583, 712

1. What is the LCM of 722, 785, 583, 712?

Answer: LCM of 722, 785, 583, 712 is 117631979960.

2. How to calculate the LCM of 722, 785, 583, 712?

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 722, 785, 583, 712.

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}.