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LCM of 490, 313, 102, 415, 991

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


Find the LCM of 490, 313, 102, 415, 991 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 490, 313, 102, 415, 991. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 490,313,102,415,991

Given numbers are 490,313,102,415,991

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

The LCM of 490,313,102,415,991 is 643372273110.

Find LCM of 490,313,102,415,991 with Prime Factorization


2 490, 313, 102, 415, 991
5 245, 313, 51, 415, 991
49, 313, 51, 83, 991

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

2 x 5 x 49 x 313 x 51 x 83 x 991 = 643372273110

Therefore, the lowest common multiple of 490,313,102,415,991 is 643372273110.

LCM Formula to Find Lowest Common Multiple of 490,313,102,415,991

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.

490 x 313 x 102 x 415 x 991 = 6433722731100

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.

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

313 : 1, 313

102 : 1, 2, 3, 6, 17, 34, 51, 102

415 : 1, 5, 83, 415

991 : 1, 991

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 490,313,102,415,991, is 1.

Now, the common factors can be found like this.

490:2x 5x 7x 7

313:313

102:2x 3x 17

415:5x 83

991:991

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

2x 5 = 10

Therefore, the value for common factors is 10.

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 = 6433722731100/(1x10)

LCM = 6433722731100/10

LCM = 643372273110

Thus, we can understand that the LCM of 490,313,102,415,991 is 643372273110.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 490, 313, 102, 415, 991

1. What is the LCM of 490, 313, 102, 415, 991?

Answer: LCM of 490, 313, 102, 415, 991 is 643372273110.

2. How to calculate the LCM of 490, 313, 102, 415, 991?

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 490, 313, 102, 415, 991.

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}.