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LCM of 668, 747, 971, 971, 874

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


Find the LCM of 668, 747, 971, 971, 874 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 668, 747, 971, 971, 874. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 668,747,971,971,874

Given numbers are 668,747,971,971,874

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

The LCM of 668,747,971,971,874 is 211737475692.

Find LCM of 668,747,971,971,874 with Prime Factorization


2 668, 747, 971, 971, 874
971 334, 747, 971, 971, 437
334, 747, 1, 1, 437

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

2 x 971 x 334 x 747 x 1 x 1 x 437 = 211737475692

Therefore, the lowest common multiple of 668,747,971,971,874 is 211737475692.

LCM Formula to Find Lowest Common Multiple of 668,747,971,971,874

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.

668 x 747 x 971 x 971 x 874 = 411194177793864

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.

668 : 1, 2, 4, 167, 334, 668

747 : 1, 3, 9, 83, 249, 747

971 : 1, 971

971 : 1, 971

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 668,747,971,971,874, is 1.

Now, the common factors can be found like this.

668:2x 2x 167

747:3x 3x 83

971:971

971:971

874:2x 19x 23

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

2x 971 = 1942

Therefore, the value for common factors is 1942.

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 = 411194177793864/(1x1942)

LCM = 411194177793864/1942

LCM = 211737475692

Thus, we can understand that the LCM of 668,747,971,971,874 is 211737475692.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 668, 747, 971, 971, 874

1. What is the LCM of 668, 747, 971, 971, 874?

Answer: LCM of 668, 747, 971, 971, 874 is 211737475692.

2. How to calculate the LCM of 668, 747, 971, 971, 874?

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 668, 747, 971, 971, 874.

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}.