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LCM of 475, 241, 268, 864

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


Find the LCM of 475, 241, 268, 864 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 475, 241, 268, 864. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 475,241,268,864

Given numbers are 475,241,268,864

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

The LCM of 475,241,268,864 is 6626728800.

Find LCM of 475,241,268,864 with Prime Factorization


2 475, 241, 268, 864
2 475, 241, 134, 432
475, 241, 67, 216

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

2 x 2 x 475 x 241 x 67 x 216 = 6626728800

Therefore, the lowest common multiple of 475,241,268,864 is 6626728800.

LCM Formula to Find Lowest Common Multiple of 475,241,268,864

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.

475 x 241 x 268 x 864 = 26506915200

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.

475 : 1, 5, 19, 25, 95, 475

241 : 1, 241

268 : 1, 2, 4, 67, 134, 268

864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 475,241,268,864, is 1.

Now, the common factors can be found like this.

475:5x 5x 19

241:241

268:2x 2x 67

864:2x 2x 2x 2x 2x 3x 3x 3

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 26506915200/(1x4)

LCM = 26506915200/4

LCM = 6626728800

Thus, we can understand that the LCM of 475,241,268,864 is 6626728800.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 475, 241, 268, 864

1. What is the LCM of 475, 241, 268, 864?

Answer: LCM of 475, 241, 268, 864 is 6626728800.

2. How to calculate the LCM of 475, 241, 268, 864?

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 475, 241, 268, 864.

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}.