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LCM of 997, 873, 971, 670, 516

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


Find the LCM of 997, 873, 971, 670, 516 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 997, 873, 971, 670, 516. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 997,873,971,670,516

Given numbers are 997,873,971,670,516

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

The LCM of 997,873,971,670,516 is 48696963976620.

Find LCM of 997,873,971,670,516 with Prime Factorization


2 997, 873, 971, 670, 516
3 997, 873, 971, 335, 258
997, 291, 971, 335, 86

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

2 x 3 x 997 x 291 x 971 x 335 x 86 = 48696963976620

Therefore, the lowest common multiple of 997,873,971,670,516 is 48696963976620.

LCM Formula to Find Lowest Common Multiple of 997,873,971,670,516

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.

997 x 873 x 971 x 670 x 516 = 292181783859720

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.

997 : 1, 997

873 : 1, 3, 9, 97, 291, 873

971 : 1, 971

670 : 1, 2, 5, 10, 67, 134, 335, 670

516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 997,873,971,670,516, is 1.

Now, the common factors can be found like this.

997:997

873:3x 3x 97

971:971

670:2x 5x 67

516:2x 2x 3x 43

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 292181783859720/(1x6)

LCM = 292181783859720/6

LCM = 48696963976620

Thus, we can understand that the LCM of 997,873,971,670,516 is 48696963976620.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 997, 873, 971, 670, 516

1. What is the LCM of 997, 873, 971, 670, 516?

Answer: LCM of 997, 873, 971, 670, 516 is 48696963976620.

2. How to calculate the LCM of 997, 873, 971, 670, 516?

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 997, 873, 971, 670, 516.

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}.