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LCM of 704, 716, 276, 368, 626

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


Find the LCM of 704, 716, 276, 368, 626 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 704, 716, 276, 368, 626. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 704,716,276,368,626

Given numbers are 704,716,276,368,626

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

The LCM of 704,716,276,368,626 is 2721567552.

Find LCM of 704,716,276,368,626 with Prime Factorization


2 704, 716, 276, 368, 626
2 352, 358, 138, 184, 313
2 176, 179, 69, 92, 313
2 88, 179, 69, 46, 313
23 44, 179, 69, 23, 313
44, 179, 3, 1, 313

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

2 x 2 x 2 x 2 x 23 x 44 x 179 x 3 x 1 x 313 = 2721567552

Therefore, the lowest common multiple of 704,716,276,368,626 is 2721567552.

LCM Formula to Find Lowest Common Multiple of 704,716,276,368,626

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.

704 x 716 x 276 x 368 x 626 = 32049179492352

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.

704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

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

276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

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

626 : 1, 2, 313, 626

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 704,716,276,368,626, is 2.

Now, the common factors can be found like this.

704:2x 2x 2x 2x 2x 2x 11

716:2x 2x 179

276:2x 2x 3x 23

368:2x 2x 2x 2x 23

626:2x 313

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 2x 23 = 5888

Therefore, the value for common factors is 5888.

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 = 32049179492352/(2x5888)

LCM = 32049179492352/11776

LCM = 2721567552

Thus, we can understand that the LCM of 704,716,276,368,626 is 2721567552.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 704, 716, 276, 368, 626

1. What is the LCM of 704, 716, 276, 368, 626?

Answer: LCM of 704, 716, 276, 368, 626 is 2721567552.

2. How to calculate the LCM of 704, 716, 276, 368, 626?

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 704, 716, 276, 368, 626.

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}.