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LCM of 713, 942, 722, 709

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


Find the LCM of 713, 942, 722, 709 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 713, 942, 722, 709. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 713,942,722,709

Given numbers are 713,942,722,709

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

The LCM of 713,942,722,709 is 171907122054.

Find LCM of 713,942,722,709 with Prime Factorization


2 713, 942, 722, 709
713, 471, 361, 709

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

2 x 713 x 471 x 361 x 709 = 171907122054

Therefore, the lowest common multiple of 713,942,722,709 is 171907122054.

LCM Formula to Find Lowest Common Multiple of 713,942,722,709

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.

713 x 942 x 722 x 709 = 343814244108

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.

713 : 1, 23, 31, 713

942 : 1, 2, 3, 6, 157, 314, 471, 942

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

709 : 1, 709

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 713,942,722,709, is 1.

Now, the common factors can be found like this.

713:23x 31

942:2x 3x 157

722:2x 19x 19

709:709

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 = 343814244108/(1x2)

LCM = 343814244108/2

LCM = 171907122054

Thus, we can understand that the LCM of 713,942,722,709 is 171907122054.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 713, 942, 722, 709

1. What is the LCM of 713, 942, 722, 709?

Answer: LCM of 713, 942, 722, 709 is 171907122054.

2. How to calculate the LCM of 713, 942, 722, 709?

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 713, 942, 722, 709.

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}.