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LCM of 713, 765, 952, 737

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


Find the LCM of 713, 765, 952, 737 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, 765, 952, 737. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 713,765,952,737

Given numbers are 713,765,952,737

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

The LCM of 713,765,952,737 is 22511606040.

Find LCM of 713,765,952,737 with Prime Factorization


17 713, 765, 952, 737
713, 45, 56, 737

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

17 x 713 x 45 x 56 x 737 = 22511606040

Therefore, the lowest common multiple of 713,765,952,737 is 22511606040.

LCM Formula to Find Lowest Common Multiple of 713,765,952,737

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 765 x 952 x 737 = 382697302680

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

765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765

952 : 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

737 : 1, 11, 67, 737

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 713,765,952,737, is 1.

Now, the common factors can be found like this.

713:23x 31

765:3x 3x 5x 17

952:2x 2x 2x 7x 17

737:11x 67

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

17 = 17

Therefore, the value for common factors is 17.

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 = 382697302680/(1x17)

LCM = 382697302680/17

LCM = 22511606040

Thus, we can understand that the LCM of 713,765,952,737 is 22511606040.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 713, 765, 952, 737

1. What is the LCM of 713, 765, 952, 737?

Answer: LCM of 713, 765, 952, 737 is 22511606040.

2. How to calculate the LCM of 713, 765, 952, 737?

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, 765, 952, 737.

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}.