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LCM of 713, 668, 377, 174

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


Find the LCM of 713, 668, 377, 174 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, 668, 377, 174. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 713,668,377,174

Given numbers are 713,668,377,174

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

The LCM of 713,668,377,174 is 538677204.

Find LCM of 713,668,377,174 with Prime Factorization


2 713, 668, 377, 174
29 713, 334, 377, 87
713, 334, 13, 3

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

2 x 29 x 713 x 334 x 13 x 3 = 538677204

Therefore, the lowest common multiple of 713,668,377,174 is 538677204.

LCM Formula to Find Lowest Common Multiple of 713,668,377,174

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 668 x 377 x 174 = 31243277832

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

668 : 1, 2, 4, 167, 334, 668

377 : 1, 13, 29, 377

174 : 1, 2, 3, 6, 29, 58, 87, 174

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 713,668,377,174, is 1.

Now, the common factors can be found like this.

713:23x 31

668:2x 2x 167

377:13x 29

174:2x 3x 29

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

2x 29 = 58

Therefore, the value for common factors is 58.

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 = 31243277832/(1x58)

LCM = 31243277832/58

LCM = 538677204

Thus, we can understand that the LCM of 713,668,377,174 is 538677204.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 713, 668, 377, 174

1. What is the LCM of 713, 668, 377, 174?

Answer: LCM of 713, 668, 377, 174 is 538677204.

2. How to calculate the LCM of 713, 668, 377, 174?

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, 668, 377, 174.

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}.