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LCM of 977, 904, 299, 898, 887

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


Find the LCM of 977, 904, 299, 898, 887 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 977, 904, 299, 898, 887. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 977,904,299,898,887

Given numbers are 977,904,299,898,887

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

The LCM of 977,904,299,898,887 is 105172971243496.

Find LCM of 977,904,299,898,887 with Prime Factorization


2 977, 904, 299, 898, 887
977, 452, 299, 449, 887

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

2 x 977 x 452 x 299 x 449 x 887 = 105172971243496

Therefore, the lowest common multiple of 977,904,299,898,887 is 105172971243496.

LCM Formula to Find Lowest Common Multiple of 977,904,299,898,887

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.

977 x 904 x 299 x 898 x 887 = 210345942486992

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.

977 : 1, 977

904 : 1, 2, 4, 8, 113, 226, 452, 904

299 : 1, 13, 23, 299

898 : 1, 2, 449, 898

887 : 1, 887

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 977,904,299,898,887, is 1.

Now, the common factors can be found like this.

977:977

904:2x 2x 2x 113

299:13x 23

898:2x 449

887:887

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 = 210345942486992/(1x2)

LCM = 210345942486992/2

LCM = 105172971243496

Thus, we can understand that the LCM of 977,904,299,898,887 is 105172971243496.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 977, 904, 299, 898, 887

1. What is the LCM of 977, 904, 299, 898, 887?

Answer: LCM of 977, 904, 299, 898, 887 is 105172971243496.

2. How to calculate the LCM of 977, 904, 299, 898, 887?

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 977, 904, 299, 898, 887.

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}.