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LCM of 776, 489, 174, 706, 374

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


Find the LCM of 776, 489, 174, 706, 374 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, 489, 174, 706, 374. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 776,489,174,706,374

Given numbers are 776,489,174,706,374

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

The LCM of 776,489,174,706,374 is 726415145016.

Find LCM of 776,489,174,706,374 with Prime Factorization


2 776, 489, 174, 706, 374
3 388, 489, 87, 353, 187
388, 163, 29, 353, 187

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

2 x 3 x 388 x 163 x 29 x 353 x 187 = 726415145016

Therefore, the lowest common multiple of 776,489,174,706,374 is 726415145016.

LCM Formula to Find Lowest Common Multiple of 776,489,174,706,374

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 489 x 174 x 706 x 374 = 17433963480384

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

489 : 1, 3, 163, 489

174 : 1, 2, 3, 6, 29, 58, 87, 174

706 : 1, 2, 353, 706

374 : 1, 2, 11, 17, 22, 34, 187, 374

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 776,489,174,706,374, is 1.

Now, the common factors can be found like this.

776:2x 2x 2x 97

489:3x 163

174:2x 3x 29

706:2x 353

374:2x 11x 17

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 3 = 24

Therefore, the value for common factors is 24.

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 = 17433963480384/(1x24)

LCM = 17433963480384/24

LCM = 726415145016

Thus, we can understand that the LCM of 776,489,174,706,374 is 726415145016.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 776, 489, 174, 706, 374

1. What is the LCM of 776, 489, 174, 706, 374?

Answer: LCM of 776, 489, 174, 706, 374 is 726415145016.

2. How to calculate the LCM of 776, 489, 174, 706, 374?

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, 489, 174, 706, 374.

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}.