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LCM of 557, 922, 922, 364

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


Find the LCM of 557, 922, 922, 364 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, 922, 922, 364. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 557,922,922,364

Given numbers are 557,922,922,364

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

The LCM of 557,922,922,364 is 93466828.

Find LCM of 557,922,922,364 with Prime Factorization


2 557, 922, 922, 364
461 557, 461, 461, 182
557, 1, 1, 182

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

2 x 461 x 557 x 1 x 1 x 182 = 93466828

Therefore, the lowest common multiple of 557,922,922,364 is 93466828.

LCM Formula to Find Lowest Common Multiple of 557,922,922,364

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 922 x 922 x 364 = 172352830832

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

922 : 1, 2, 461, 922

922 : 1, 2, 461, 922

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 557,922,922,364, is 1.

Now, the common factors can be found like this.

557:557

922:2x 461

922:2x 461

364:2x 2x 7x 13

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 461 = 1844

Therefore, the value for common factors is 1844.

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 = 172352830832/(1x1844)

LCM = 172352830832/1844

LCM = 93466828

Thus, we can understand that the LCM of 557,922,922,364 is 93466828.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 557, 922, 922, 364

1. What is the LCM of 557, 922, 922, 364?

Answer: LCM of 557, 922, 922, 364 is 93466828.

2. How to calculate the LCM of 557, 922, 922, 364?

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, 922, 922, 364.

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}.