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LCM of 756, 663, 585, 374

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


Find the LCM of 756, 663, 585, 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 756, 663, 585, 374. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 756,663,585,374

Given numbers are 756,663,585,374

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

The LCM of 756,663,585,374 is 9189180.

Find LCM of 756,663,585,374 with Prime Factorization


2 756, 663, 585, 374
3 378, 663, 585, 187
3 126, 221, 195, 187
13 42, 221, 65, 187
17 42, 17, 5, 187
42, 1, 5, 11

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

2 x 3 x 3 x 13 x 17 x 42 x 1 x 5 x 11 = 9189180

Therefore, the lowest common multiple of 756,663,585,374 is 9189180.

LCM Formula to Find Lowest Common Multiple of 756,663,585,374

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.

756 x 663 x 585 x 374 = 109663674120

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.

756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

663 : 1, 3, 13, 17, 39, 51, 221, 663

585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

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 756,663,585,374, is 1.

Now, the common factors can be found like this.

756:2x 2x 3x 3x 3x 7

663:3x 13x 17

585:3x 3x 5x 13

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 3x 3x 3x 13x 17 = 11934

Therefore, the value for common factors is 11934.

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 = 109663674120/(1x11934)

LCM = 109663674120/11934

LCM = 9189180

Thus, we can understand that the LCM of 756,663,585,374 is 9189180.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 756, 663, 585, 374

1. What is the LCM of 756, 663, 585, 374?

Answer: LCM of 756, 663, 585, 374 is 9189180.

2. How to calculate the LCM of 756, 663, 585, 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 756, 663, 585, 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}.