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LCM of 388, 753, 680, 528, 374

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


Find the LCM of 388, 753, 680, 528, 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 388, 753, 680, 528, 374. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 388,753,680,528,374

Given numbers are 388,753,680,528,374

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

The LCM of 388,753,680,528,374 is 1092693360.

Find LCM of 388,753,680,528,374 with Prime Factorization


2 388, 753, 680, 528, 374
2 194, 753, 340, 264, 187
2 97, 753, 170, 132, 187
3 97, 753, 85, 66, 187
11 97, 251, 85, 22, 187
17 97, 251, 85, 2, 17
97, 251, 5, 2, 1

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

2 x 2 x 2 x 3 x 11 x 17 x 97 x 251 x 5 x 2 x 1 = 1092693360

Therefore, the lowest common multiple of 388,753,680,528,374 is 1092693360.

LCM Formula to Find Lowest Common Multiple of 388,753,680,528,374

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.

388 x 753 x 680 x 528 x 374 = 39232062397440

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.

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

753 : 1, 3, 251, 753

680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

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 388,753,680,528,374, is 1.

Now, the common factors can be found like this.

388:2x 2x 97

753:3x 251

680:2x 2x 2x 5x 17

528:2x 2x 2x 2x 3x 11

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 2x 2x 2x 3x 11x 17 = 35904

Therefore, the value for common factors is 35904.

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 = 39232062397440/(1x35904)

LCM = 39232062397440/35904

LCM = 1092693360

Thus, we can understand that the LCM of 388,753,680,528,374 is 1092693360.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 388, 753, 680, 528, 374

1. What is the LCM of 388, 753, 680, 528, 374?

Answer: LCM of 388, 753, 680, 528, 374 is 1092693360.

2. How to calculate the LCM of 388, 753, 680, 528, 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 388, 753, 680, 528, 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}.