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LCM of 232, 754, 780, 457

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


Find the LCM of 232, 754, 780, 457 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 232, 754, 780, 457. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 232,754,780,457

Given numbers are 232,754,780,457

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

The LCM of 232,754,780,457 is 20674680.

Find LCM of 232,754,780,457 with Prime Factorization


2 232, 754, 780, 457
2 116, 377, 390, 457
13 58, 377, 195, 457
29 58, 29, 15, 457
2, 1, 15, 457

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

2 x 2 x 13 x 29 x 2 x 1 x 15 x 457 = 20674680

Therefore, the lowest common multiple of 232,754,780,457 is 20674680.

LCM Formula to Find Lowest Common Multiple of 232,754,780,457

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.

232 x 754 x 780 x 457 = 62354834880

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.

232 : 1, 2, 4, 8, 29, 58, 116, 232

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

780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

457 : 1, 457

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 232,754,780,457, is 1.

Now, the common factors can be found like this.

232:2x 2x 2x 29

754:2x 13x 29

780:2x 2x 3x 5x 13

457:457

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 13x 29 = 3016

Therefore, the value for common factors is 3016.

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 = 62354834880/(1x3016)

LCM = 62354834880/3016

LCM = 20674680

Thus, we can understand that the LCM of 232,754,780,457 is 20674680.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 232, 754, 780, 457

1. What is the LCM of 232, 754, 780, 457?

Answer: LCM of 232, 754, 780, 457 is 20674680.

2. How to calculate the LCM of 232, 754, 780, 457?

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 232, 754, 780, 457.

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}.