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LCM of 7, 916, 329, 285

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


Find the LCM of 7, 916, 329, 285 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 7, 916, 329, 285. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 7,916,329,285

Given numbers are 7,916,329,285

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

The LCM of 7,916,329,285 is 85888740.

Find LCM of 7,916,329,285 with Prime Factorization


7 7, 916, 329, 285
1, 916, 47, 285

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

7 x 1 x 916 x 47 x 285 = 85888740

Therefore, the lowest common multiple of 7,916,329,285 is 85888740.

LCM Formula to Find Lowest Common Multiple of 7,916,329,285

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.

7 x 916 x 329 x 285 = 601221180

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.

7 : 1, 7

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

329 : 1, 7, 47, 329

285 : 1, 3, 5, 15, 19, 57, 95, 285

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 7,916,329,285, is 1.

Now, the common factors can be found like this.

7:7

916:2x 2x 229

329:7x 47

285:3x 5x 19

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

7 = 7

Therefore, the value for common factors is 7.

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 = 601221180/(1x7)

LCM = 601221180/7

LCM = 85888740

Thus, we can understand that the LCM of 7,916,329,285 is 85888740.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 7, 916, 329, 285

1. What is the LCM of 7, 916, 329, 285?

Answer: LCM of 7, 916, 329, 285 is 85888740.

2. How to calculate the LCM of 7, 916, 329, 285?

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 7, 916, 329, 285.

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}.