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LCM of 971, 178, 267, 903

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


Find the LCM of 971, 178, 267, 903 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 971, 178, 267, 903. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 971,178,267,903

Given numbers are 971,178,267,903

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

The LCM of 971,178,267,903 is 156072714.

Find LCM of 971,178,267,903 with Prime Factorization


3 971, 178, 267, 903
89 971, 178, 89, 301
971, 2, 1, 301

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

3 x 89 x 971 x 2 x 1 x 301 = 156072714

Therefore, the lowest common multiple of 971,178,267,903 is 156072714.

LCM Formula to Find Lowest Common Multiple of 971,178,267,903

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.

971 x 178 x 267 x 903 = 41671414638

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.

971 : 1, 971

178 : 1, 2, 89, 178

267 : 1, 3, 89, 267

903 : 1, 3, 7, 21, 43, 129, 301, 903

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 971,178,267,903, is 1.

Now, the common factors can be found like this.

971:971

178:2x 89

267:3x 89

903:3x 7x 43

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

3x 89 = 267

Therefore, the value for common factors is 267.

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 = 41671414638/(1x267)

LCM = 41671414638/267

LCM = 156072714

Thus, we can understand that the LCM of 971,178,267,903 is 156072714.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 971, 178, 267, 903

1. What is the LCM of 971, 178, 267, 903?

Answer: LCM of 971, 178, 267, 903 is 156072714.

2. How to calculate the LCM of 971, 178, 267, 903?

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 971, 178, 267, 903.

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}.