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LCM of 972, 671, 916, 829

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


Find the LCM of 972, 671, 916, 829 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 972, 671, 916, 829. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 972,671,916,829

Given numbers are 972,671,916,829

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

The LCM of 972,671,916,829 is 123816578292.

Find LCM of 972,671,916,829 with Prime Factorization


2 972, 671, 916, 829
2 486, 671, 458, 829
243, 671, 229, 829

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

2 x 2 x 243 x 671 x 229 x 829 = 123816578292

Therefore, the lowest common multiple of 972,671,916,829 is 123816578292.

LCM Formula to Find Lowest Common Multiple of 972,671,916,829

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.

972 x 671 x 916 x 829 = 495266313168

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.

972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

671 : 1, 11, 61, 671

916 : 1, 2, 4, 229, 458, 916

829 : 1, 829

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 972,671,916,829, is 1.

Now, the common factors can be found like this.

972:2x 2x 3x 3x 3x 3x 3

671:11x 61

916:2x 2x 229

829:829

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 = 495266313168/(1x4)

LCM = 495266313168/4

LCM = 123816578292

Thus, we can understand that the LCM of 972,671,916,829 is 123816578292.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 972, 671, 916, 829

1. What is the LCM of 972, 671, 916, 829?

Answer: LCM of 972, 671, 916, 829 is 123816578292.

2. How to calculate the LCM of 972, 671, 916, 829?

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 972, 671, 916, 829.

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}.