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LCM of 916, 176, 409, 605

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


Find the LCM of 916, 176, 409, 605 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 916, 176, 409, 605. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 916,176,409,605

Given numbers are 916,176,409,605

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

The LCM of 916,176,409,605 is 906638480.

Find LCM of 916,176,409,605 with Prime Factorization


2 916, 176, 409, 605
2 458, 88, 409, 605
11 229, 44, 409, 605
229, 4, 409, 55

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

2 x 2 x 11 x 229 x 4 x 409 x 55 = 906638480

Therefore, the lowest common multiple of 916,176,409,605 is 906638480.

LCM Formula to Find Lowest Common Multiple of 916,176,409,605

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.

916 x 176 x 409 x 605 = 39892093120

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.

916 : 1, 2, 4, 229, 458, 916

176 : 1, 2, 4, 8, 11, 16, 22, 44, 88, 176

409 : 1, 409

605 : 1, 5, 11, 55, 121, 605

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 916,176,409,605, is 1.

Now, the common factors can be found like this.

916:2x 2x 229

176:2x 2x 2x 2x 11

409:409

605:5x 11x 11

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

2x 2x 11 = 44

Therefore, the value for common factors is 44.

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 = 39892093120/(1x44)

LCM = 39892093120/44

LCM = 906638480

Thus, we can understand that the LCM of 916,176,409,605 is 906638480.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 916, 176, 409, 605

1. What is the LCM of 916, 176, 409, 605?

Answer: LCM of 916, 176, 409, 605 is 906638480.

2. How to calculate the LCM of 916, 176, 409, 605?

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 916, 176, 409, 605.

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}.