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LCM of 754, 192, 338, 975, 570

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


Find the LCM of 754, 192, 338, 975, 570 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 754, 192, 338, 975, 570. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 754,192,338,975,570

Given numbers are 754,192,338,975,570

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

The LCM of 754,192,338,975,570 is 446971200.

Find LCM of 754,192,338,975,570 with Prime Factorization


2 754, 192, 338, 975, 570
3 377, 96, 169, 975, 285
5 377, 32, 169, 325, 95
13 377, 32, 169, 65, 19
29, 32, 13, 5, 19

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

2 x 3 x 5 x 13 x 29 x 32 x 13 x 5 x 19 = 446971200

Therefore, the lowest common multiple of 754,192,338,975,570 is 446971200.

LCM Formula to Find Lowest Common Multiple of 754,192,338,975,570

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.

754 x 192 x 338 x 975 x 570 = 27193727808000

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.

754 : 1, 2, 13, 26, 29, 58, 377, 754

192 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192

338 : 1, 2, 13, 26, 169, 338

975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

570 : 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 754,192,338,975,570, is 1.

Now, the common factors can be found like this.

754:2x 13x 29

192:2x 2x 2x 2x 2x 2x 3

338:2x 13x 13

975:3x 5x 5x 13

570:2x 3x 5x 19

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 3x 3x 5x 13x 13 = 60840

Therefore, the value for common factors is 60840.

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 = 27193727808000/(1x60840)

LCM = 27193727808000/60840

LCM = 446971200

Thus, we can understand that the LCM of 754,192,338,975,570 is 446971200.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 754, 192, 338, 975, 570

1. What is the LCM of 754, 192, 338, 975, 570?

Answer: LCM of 754, 192, 338, 975, 570 is 446971200.

2. How to calculate the LCM of 754, 192, 338, 975, 570?

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 754, 192, 338, 975, 570.

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}.