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LCM of 557, 482, 791, 482, 878

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


Find the LCM of 557, 482, 791, 482, 878 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 557, 482, 791, 482, 878. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 557,482,791,482,878

Given numbers are 557,482,791,482,878

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

The LCM of 557,482,791,482,878 is 93227328026.

Find LCM of 557,482,791,482,878 with Prime Factorization


2 557, 482, 791, 482, 878
241 557, 241, 791, 241, 439
557, 1, 791, 1, 439

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

2 x 241 x 557 x 1 x 791 x 1 x 439 = 93227328026

Therefore, the lowest common multiple of 557,482,791,482,878 is 93227328026.

LCM Formula to Find Lowest Common Multiple of 557,482,791,482,878

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.

557 x 482 x 791 x 482 x 878 = 89871144217064

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.

557 : 1, 557

482 : 1, 2, 241, 482

791 : 1, 7, 113, 791

482 : 1, 2, 241, 482

878 : 1, 2, 439, 878

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 557,482,791,482,878, is 1.

Now, the common factors can be found like this.

557:557

482:2x 241

791:7x 113

482:2x 241

878:2x 439

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 241 = 964

Therefore, the value for common factors is 964.

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 = 89871144217064/(1x964)

LCM = 89871144217064/964

LCM = 93227328026

Thus, we can understand that the LCM of 557,482,791,482,878 is 93227328026.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 557, 482, 791, 482, 878

1. What is the LCM of 557, 482, 791, 482, 878?

Answer: LCM of 557, 482, 791, 482, 878 is 93227328026.

2. How to calculate the LCM of 557, 482, 791, 482, 878?

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 557, 482, 791, 482, 878.

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}.