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LCM of 915, 409, 411, 174, 490

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


Find the LCM of 915, 409, 411, 174, 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 915, 409, 411, 174, 490. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 915,409,411,174,490

Given numbers are 915,409,411,174,490

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

The LCM of 915,409,411,174,490 is 145709894190.

Find LCM of 915,409,411,174,490 with Prime Factorization


2 915, 409, 411, 174, 490
3 915, 409, 411, 87, 245
5 305, 409, 137, 29, 245
61, 409, 137, 29, 49

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

2 x 3 x 5 x 61 x 409 x 137 x 29 x 49 = 145709894190

Therefore, the lowest common multiple of 915,409,411,174,490 is 145709894190.

LCM Formula to Find Lowest Common Multiple of 915,409,411,174,490

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.

915 x 409 x 411 x 174 x 490 = 13113890477100

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.

915 : 1, 3, 5, 15, 61, 183, 305, 915

409 : 1, 409

411 : 1, 3, 137, 411

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

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 915,409,411,174,490, is 1.

Now, the common factors can be found like this.

915:3x 5x 61

409:409

411:3x 137

174:2x 3x 29

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.

2x 3x 3x 5 = 90

Therefore, the value for common factors is 90.

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 = 13113890477100/(1x90)

LCM = 13113890477100/90

LCM = 145709894190

Thus, we can understand that the LCM of 915,409,411,174,490 is 145709894190.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 915, 409, 411, 174, 490

1. What is the LCM of 915, 409, 411, 174, 490?

Answer: LCM of 915, 409, 411, 174, 490 is 145709894190.

2. How to calculate the LCM of 915, 409, 411, 174, 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 915, 409, 411, 174, 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}.