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LCM of 702, 736, 382, 777

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


Find the LCM of 702, 736, 382, 777 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 702, 736, 382, 777. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 702,736,382,777

Given numbers are 702,736,382,777

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

The LCM of 702,736,382,777 is 12779623584.

Find LCM of 702,736,382,777 with Prime Factorization


2 702, 736, 382, 777
3 351, 368, 191, 777
117, 368, 191, 259

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

2 x 3 x 117 x 368 x 191 x 259 = 12779623584

Therefore, the lowest common multiple of 702,736,382,777 is 12779623584.

LCM Formula to Find Lowest Common Multiple of 702,736,382,777

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.

702 x 736 x 382 x 777 = 153355483008

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.

702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

382 : 1, 2, 191, 382

777 : 1, 3, 7, 21, 37, 111, 259, 777

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 702,736,382,777, is 1.

Now, the common factors can be found like this.

702:2x 3x 3x 3x 13

736:2x 2x 2x 2x 2x 23

382:2x 191

777:3x 7x 37

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

2x 2x 3 = 12

Therefore, the value for common factors is 12.

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 = 153355483008/(1x12)

LCM = 153355483008/12

LCM = 12779623584

Thus, we can understand that the LCM of 702,736,382,777 is 12779623584.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 702, 736, 382, 777

1. What is the LCM of 702, 736, 382, 777?

Answer: LCM of 702, 736, 382, 777 is 12779623584.

2. How to calculate the LCM of 702, 736, 382, 777?

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 702, 736, 382, 777.

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}.