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LCM of 557, 922, 269, 350

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


Find the LCM of 557, 922, 269, 350 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, 269, 350. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 557,922,269,350

Given numbers are 557,922,269,350

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

The LCM of 557,922,269,350 is 24175554550.

Find LCM of 557,922,269,350 with Prime Factorization


2 557, 922, 269, 350
557, 461, 269, 175

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

2 x 557 x 461 x 269 x 175 = 24175554550

Therefore, the lowest common multiple of 557,922,269,350 is 24175554550.

LCM Formula to Find Lowest Common Multiple of 557,922,269,350

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 269 x 350 = 48351109100

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

269 : 1, 269

350 : 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 557,922,269,350, is 1.

Now, the common factors can be found like this.

557:557

922:2x 461

269:269

350:2x 5x 5x 7

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

2 = 2

Therefore, the value for common factors is 2.

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 = 48351109100/(1x2)

LCM = 48351109100/2

LCM = 24175554550

Thus, we can understand that the LCM of 557,922,269,350 is 24175554550.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 557, 922, 269, 350

1. What is the LCM of 557, 922, 269, 350?

Answer: LCM of 557, 922, 269, 350 is 24175554550.

2. How to calculate the LCM of 557, 922, 269, 350?

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, 269, 350.

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}.