LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

LCM of 657, 736, 416, 230

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


Find the LCM of 657, 736, 416, 230 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 657, 736, 416, 230. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 657,736,416,230

Given numbers are 657,736,416,230

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

The LCM of 657,736,416,230 is 31430880.

Find LCM of 657,736,416,230 with Prime Factorization


2 657, 736, 416, 230
2 657, 368, 208, 115
2 657, 184, 104, 115
2 657, 92, 52, 115
2 657, 46, 26, 115
23 657, 23, 13, 115
657, 1, 13, 5

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

2 x 2 x 2 x 2 x 2 x 23 x 657 x 1 x 13 x 5 = 31430880

Therefore, the lowest common multiple of 657,736,416,230 is 31430880.

LCM Formula to Find Lowest Common Multiple of 657,736,416,230

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.

657 x 736 x 416 x 230 = 46266255360

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.

657 : 1, 3, 9, 73, 219, 657

736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

230 : 1, 2, 5, 10, 23, 46, 115, 230

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 657,736,416,230, is 1.

Now, the common factors can be found like this.

657:3x 3x 73

736:2x 2x 2x 2x 2x 23

416:2x 2x 2x 2x 2x 13

230:2x 5x 23

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 23 = 1472

Therefore, the value for common factors is 1472.

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 = 46266255360/(1x1472)

LCM = 46266255360/1472

LCM = 31430880

Thus, we can understand that the LCM of 657,736,416,230 is 31430880.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 657, 736, 416, 230

1. What is the LCM of 657, 736, 416, 230?

Answer: LCM of 657, 736, 416, 230 is 31430880.

2. How to calculate the LCM of 657, 736, 416, 230?

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 657, 736, 416, 230.

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}.