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LCM of 716, 696, 516, 912, 804

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


Find the LCM of 716, 696, 516, 912, 804 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 716, 696, 516, 912, 804. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 716,696,516,912,804

Given numbers are 716,696,516,912,804

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

The LCM of 716,696,516,912,804 is 13639207152.

Find LCM of 716,696,516,912,804 with Prime Factorization


2 716, 696, 516, 912, 804
2 358, 348, 258, 456, 402
2 179, 174, 129, 228, 201
3 179, 87, 129, 114, 201
179, 29, 43, 38, 67

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

2 x 2 x 2 x 3 x 179 x 29 x 43 x 38 x 67 = 13639207152

Therefore, the lowest common multiple of 716,696,516,912,804 is 13639207152.

LCM Formula to Find Lowest Common Multiple of 716,696,516,912,804

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.

716 x 696 x 516 x 912 x 804 = 188548399669248

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.

716 : 1, 2, 4, 179, 358, 716

696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

804 : 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 716,696,516,912,804, is 4.

Now, the common factors can be found like this.

716:2x 2x 179

696:2x 2x 2x 3x 29

516:2x 2x 3x 43

912:2x 2x 2x 2x 3x 19

804:2x 2x 3x 67

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 2x 2x 2x 2x 2x 3x 3x 3 = 3456

Therefore, the value for common factors is 3456.

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 = 188548399669248/(4x3456)

LCM = 188548399669248/13824

LCM = 13639207152

Thus, we can understand that the LCM of 716,696,516,912,804 is 13639207152.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 716, 696, 516, 912, 804

1. What is the LCM of 716, 696, 516, 912, 804?

Answer: LCM of 716, 696, 516, 912, 804 is 13639207152.

2. How to calculate the LCM of 716, 696, 516, 912, 804?

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 716, 696, 516, 912, 804.

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}.