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LCM of 457, 964, 482, 557

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


Find the LCM of 457, 964, 482, 557 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 457, 964, 482, 557. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 457,964,482,557

Given numbers are 457,964,482,557

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

The LCM of 457,964,482,557 is 245385236.

Find LCM of 457,964,482,557 with Prime Factorization


2 457, 964, 482, 557
241 457, 482, 241, 557
457, 2, 1, 557

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

2 x 241 x 457 x 2 x 1 x 557 = 245385236

Therefore, the lowest common multiple of 457,964,482,557 is 245385236.

LCM Formula to Find Lowest Common Multiple of 457,964,482,557

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.

457 x 964 x 482 x 557 = 118275683752

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.

457 : 1, 457

964 : 1, 2, 4, 241, 482, 964

482 : 1, 2, 241, 482

557 : 1, 557

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 457,964,482,557, is 1.

Now, the common factors can be found like this.

457:457

964:2x 2x 241

482:2x 241

557:557

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 241 = 482

Therefore, the value for common factors is 482.

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 = 118275683752/(1x482)

LCM = 118275683752/482

LCM = 245385236

Thus, we can understand that the LCM of 457,964,482,557 is 245385236.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 457, 964, 482, 557

1. What is the LCM of 457, 964, 482, 557?

Answer: LCM of 457, 964, 482, 557 is 245385236.

2. How to calculate the LCM of 457, 964, 482, 557?

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 457, 964, 482, 557.

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}.