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LCM of 578, 493, 969, 557

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


Find the LCM of 578, 493, 969, 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 578, 493, 969, 557. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 578,493,969,557

Given numbers are 578,493,969,557

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

The LCM of 578,493,969,557 is 532176738.

Find LCM of 578,493,969,557 with Prime Factorization


17 578, 493, 969, 557
34, 29, 57, 557

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

17 x 34 x 29 x 57 x 557 = 532176738

Therefore, the lowest common multiple of 578,493,969,557 is 532176738.

LCM Formula to Find Lowest Common Multiple of 578,493,969,557

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.

578 x 493 x 969 x 557 = 153799077282

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.

578 : 1, 2, 17, 34, 289, 578

493 : 1, 17, 29, 493

969 : 1, 3, 17, 19, 51, 57, 323, 969

557 : 1, 557

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 578,493,969,557, is 1.

Now, the common factors can be found like this.

578:2x 17x 17

493:17x 29

969:3x 17x 19

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.

17x 17 = 289

Therefore, the value for common factors is 289.

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 = 153799077282/(1x289)

LCM = 153799077282/289

LCM = 532176738

Thus, we can understand that the LCM of 578,493,969,557 is 532176738.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 578, 493, 969, 557

1. What is the LCM of 578, 493, 969, 557?

Answer: LCM of 578, 493, 969, 557 is 532176738.

2. How to calculate the LCM of 578, 493, 969, 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 578, 493, 969, 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}.