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LCM of 491, 174, 998, 902

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


Find the LCM of 491, 174, 998, 902 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 491, 174, 998, 902. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 491,174,998,902

Given numbers are 491,174,998,902

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

The LCM of 491,174,998,902 is 19226836266.

Find LCM of 491,174,998,902 with Prime Factorization


2 491, 174, 998, 902
491, 87, 499, 451

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

2 x 491 x 87 x 499 x 451 = 19226836266

Therefore, the lowest common multiple of 491,174,998,902 is 19226836266.

LCM Formula to Find Lowest Common Multiple of 491,174,998,902

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.

491 x 174 x 998 x 902 = 76907345064

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.

491 : 1, 491

174 : 1, 2, 3, 6, 29, 58, 87, 174

998 : 1, 2, 499, 998

902 : 1, 2, 11, 22, 41, 82, 451, 902

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 491,174,998,902, is 1.

Now, the common factors can be found like this.

491:491

174:2x 3x 29

998:2x 499

902:2x 11x 41

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 = 76907345064/(1x4)

LCM = 76907345064/4

LCM = 19226836266

Thus, we can understand that the LCM of 491,174,998,902 is 19226836266.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 491, 174, 998, 902

1. What is the LCM of 491, 174, 998, 902?

Answer: LCM of 491, 174, 998, 902 is 19226836266.

2. How to calculate the LCM of 491, 174, 998, 902?

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 491, 174, 998, 902.

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}.