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LCM of 667, 742, 881, 860

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


Find the LCM of 667, 742, 881, 860 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 667, 742, 881, 860. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 667,742,881,860

Given numbers are 667,742,881,860

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

The LCM of 667,742,881,860 is 187488270620.

Find LCM of 667,742,881,860 with Prime Factorization


2 667, 742, 881, 860
667, 371, 881, 430

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

2 x 667 x 371 x 881 x 430 = 187488270620

Therefore, the lowest common multiple of 667,742,881,860 is 187488270620.

LCM Formula to Find Lowest Common Multiple of 667,742,881,860

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.

667 x 742 x 881 x 860 = 374976541240

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.

667 : 1, 23, 29, 667

742 : 1, 2, 7, 14, 53, 106, 371, 742

881 : 1, 881

860 : 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 667,742,881,860, is 1.

Now, the common factors can be found like this.

667:23x 29

742:2x 7x 53

881:881

860:2x 2x 5x 43

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 = 374976541240/(1x2)

LCM = 374976541240/2

LCM = 187488270620

Thus, we can understand that the LCM of 667,742,881,860 is 187488270620.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 667, 742, 881, 860

1. What is the LCM of 667, 742, 881, 860?

Answer: LCM of 667, 742, 881, 860 is 187488270620.

2. How to calculate the LCM of 667, 742, 881, 860?

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 667, 742, 881, 860.

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}.