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LCM of 745, 222, 795, 256, 561

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


Find the LCM of 745, 222, 795, 256, 561 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 745, 222, 795, 256, 561. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 745,222,795,256,561

Given numbers are 745,222,795,256,561

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

The LCM of 745,222,795,256,561 is 209815077120.

Find LCM of 745,222,795,256,561 with Prime Factorization


2 745, 222, 795, 256, 561
3 745, 111, 795, 128, 561
5 745, 37, 265, 128, 187
149, 37, 53, 128, 187

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

2 x 3 x 5 x 149 x 37 x 53 x 128 x 187 = 209815077120

Therefore, the lowest common multiple of 745,222,795,256,561 is 209815077120.

LCM Formula to Find Lowest Common Multiple of 745,222,795,256,561

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.

745 x 222 x 795 x 256 x 561 = 18883356940800

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.

745 : 1, 5, 149, 745

222 : 1, 2, 3, 6, 37, 74, 111, 222

795 : 1, 3, 5, 15, 53, 159, 265, 795

256 : 1, 2, 4, 8, 16, 32, 64, 128, 256

561 : 1, 3, 11, 17, 33, 51, 187, 561

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 745,222,795,256,561, is 1.

Now, the common factors can be found like this.

745:5x 149

222:2x 3x 37

795:3x 5x 53

256:2x 2x 2x 2x 2x 2x 2x 2

561:3x 11x 17

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

2x 3x 3x 5 = 90

Therefore, the value for common factors is 90.

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 = 18883356940800/(1x90)

LCM = 18883356940800/90

LCM = 209815077120

Thus, we can understand that the LCM of 745,222,795,256,561 is 209815077120.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 745, 222, 795, 256, 561

1. What is the LCM of 745, 222, 795, 256, 561?

Answer: LCM of 745, 222, 795, 256, 561 is 209815077120.

2. How to calculate the LCM of 745, 222, 795, 256, 561?

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 745, 222, 795, 256, 561.

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}.