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LCM of 109, 562, 734, 538

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


Find the LCM of 109, 562, 734, 538 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 109, 562, 734, 538. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 109,562,734,538

Given numbers are 109,562,734,538

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

The LCM of 109,562,734,538 is 6047573534.

Find LCM of 109,562,734,538 with Prime Factorization


2 109, 562, 734, 538
109, 281, 367, 269

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

2 x 109 x 281 x 367 x 269 = 6047573534

Therefore, the lowest common multiple of 109,562,734,538 is 6047573534.

LCM Formula to Find Lowest Common Multiple of 109,562,734,538

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.

109 x 562 x 734 x 538 = 24190294136

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.

109 : 1, 109

562 : 1, 2, 281, 562

734 : 1, 2, 367, 734

538 : 1, 2, 269, 538

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 109,562,734,538, is 1.

Now, the common factors can be found like this.

109:109

562:2x 281

734:2x 367

538:2x 269

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 = 24190294136/(1x4)

LCM = 24190294136/4

LCM = 6047573534

Thus, we can understand that the LCM of 109,562,734,538 is 6047573534.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 109, 562, 734, 538

1. What is the LCM of 109, 562, 734, 538?

Answer: LCM of 109, 562, 734, 538 is 6047573534.

2. How to calculate the LCM of 109, 562, 734, 538?

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 109, 562, 734, 538.

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}.