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LCM of 713, 310, 734, 137

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


Find the LCM of 713, 310, 734, 137 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, 310, 734, 137. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 713,310,734,137

Given numbers are 713,310,734,137

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

The LCM of 713,310,734,137 is 358489270.

Find LCM of 713,310,734,137 with Prime Factorization


2 713, 310, 734, 137
31 713, 155, 367, 137
23, 5, 367, 137

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

2 x 31 x 23 x 5 x 367 x 137 = 358489270

Therefore, the lowest common multiple of 713,310,734,137 is 358489270.

LCM Formula to Find Lowest Common Multiple of 713,310,734,137

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 310 x 734 x 137 = 22226334740

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

310 : 1, 2, 5, 10, 31, 62, 155, 310

734 : 1, 2, 367, 734

137 : 1, 137

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 713,310,734,137, is 1.

Now, the common factors can be found like this.

713:23x 31

310:2x 5x 31

734:2x 367

137:137

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

2x 31 = 62

Therefore, the value for common factors is 62.

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 = 22226334740/(1x62)

LCM = 22226334740/62

LCM = 358489270

Thus, we can understand that the LCM of 713,310,734,137 is 358489270.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 713, 310, 734, 137

1. What is the LCM of 713, 310, 734, 137?

Answer: LCM of 713, 310, 734, 137 is 358489270.

2. How to calculate the LCM of 713, 310, 734, 137?

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, 310, 734, 137.

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}.