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LCM of 776, 364, 598, 204, 734

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


Find the LCM of 776, 364, 598, 204, 734 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 776, 364, 598, 204, 734. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 776,364,598,204,734

Given numbers are 776,364,598,204,734

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

The LCM of 776,364,598,204,734 is 30399552456.

Find LCM of 776,364,598,204,734 with Prime Factorization


2 776, 364, 598, 204, 734
2 388, 182, 299, 102, 367
13 194, 91, 299, 51, 367
194, 7, 23, 51, 367

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

2 x 2 x 13 x 194 x 7 x 23 x 51 x 367 = 30399552456

Therefore, the lowest common multiple of 776,364,598,204,734 is 30399552456.

LCM Formula to Find Lowest Common Multiple of 776,364,598,204,734

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.

776 x 364 x 598 x 204 x 734 = 25292427643392

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.

776 : 1, 2, 4, 8, 97, 194, 388, 776

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

598 : 1, 2, 13, 23, 26, 46, 299, 598

204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

734 : 1, 2, 367, 734

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 776,364,598,204,734, is 2.

Now, the common factors can be found like this.

776:2x 2x 2x 97

364:2x 2x 7x 13

598:2x 13x 23

204:2x 2x 3x 17

734:2x 367

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 13 = 416

Therefore, the value for common factors is 416.

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 = 25292427643392/(2x416)

LCM = 25292427643392/832

LCM = 30399552456

Thus, we can understand that the LCM of 776,364,598,204,734 is 30399552456.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 776, 364, 598, 204, 734

1. What is the LCM of 776, 364, 598, 204, 734?

Answer: LCM of 776, 364, 598, 204, 734 is 30399552456.

2. How to calculate the LCM of 776, 364, 598, 204, 734?

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 776, 364, 598, 204, 734.

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}.