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LCM of 566, 734, 874, 107

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


Find the LCM of 566, 734, 874, 107 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 566, 734, 874, 107. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 566,734,874,107

Given numbers are 566,734,874,107

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

The LCM of 566,734,874,107 is 9712872998.

Find LCM of 566,734,874,107 with Prime Factorization


2 566, 734, 874, 107
283, 367, 437, 107

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

2 x 283 x 367 x 437 x 107 = 9712872998

Therefore, the lowest common multiple of 566,734,874,107 is 9712872998.

LCM Formula to Find Lowest Common Multiple of 566,734,874,107

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.

566 x 734 x 874 x 107 = 38851491992

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.

566 : 1, 2, 283, 566

734 : 1, 2, 367, 734

874 : 1, 2, 19, 23, 38, 46, 437, 874

107 : 1, 107

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 566,734,874,107, is 1.

Now, the common factors can be found like this.

566:2x 283

734:2x 367

874:2x 19x 23

107:107

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 = 38851491992/(1x4)

LCM = 38851491992/4

LCM = 9712872998

Thus, we can understand that the LCM of 566,734,874,107 is 9712872998.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 566, 734, 874, 107

1. What is the LCM of 566, 734, 874, 107?

Answer: LCM of 566, 734, 874, 107 is 9712872998.

2. How to calculate the LCM of 566, 734, 874, 107?

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 566, 734, 874, 107.

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}.