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LCM of 869, 391, 673, 989, 490

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


Find the LCM of 869, 391, 673, 989, 490 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 869, 391, 673, 989, 490. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 869,391,673,989,490

Given numbers are 869,391,673,989,490

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

The LCM of 869,391,673,989,490 is 4818103595690.

Find LCM of 869,391,673,989,490 with Prime Factorization


23 869, 391, 673, 989, 490
869, 17, 673, 43, 490

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

23 x 869 x 17 x 673 x 43 x 490 = 4818103595690

Therefore, the lowest common multiple of 869,391,673,989,490 is 4818103595690.

LCM Formula to Find Lowest Common Multiple of 869,391,673,989,490

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.

869 x 391 x 673 x 989 x 490 = 110816382700870

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.

869 : 1, 11, 79, 869

391 : 1, 17, 23, 391

673 : 1, 673

989 : 1, 23, 43, 989

490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 869,391,673,989,490, is 1.

Now, the common factors can be found like this.

869:11x 79

391:17x 23

673:673

989:23x 43

490:2x 5x 7x 7

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

23 = 23

Therefore, the value for common factors is 23.

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 = 110816382700870/(1x23)

LCM = 110816382700870/23

LCM = 4818103595690

Thus, we can understand that the LCM of 869,391,673,989,490 is 4818103595690.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 869, 391, 673, 989, 490

1. What is the LCM of 869, 391, 673, 989, 490?

Answer: LCM of 869, 391, 673, 989, 490 is 4818103595690.

2. How to calculate the LCM of 869, 391, 673, 989, 490?

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 869, 391, 673, 989, 490.

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}.