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LCM of 924, 311, 280, 627

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


Find the LCM of 924, 311, 280, 627 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 924, 311, 280, 627. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 924,311,280,627

Given numbers are 924,311,280,627

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

The LCM of 924,311,280,627 is 54599160.

Find LCM of 924,311,280,627 with Prime Factorization


2 924, 311, 280, 627
2 462, 311, 140, 627
3 231, 311, 70, 627
7 77, 311, 70, 209
11 11, 311, 10, 209
1, 311, 10, 19

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

2 x 2 x 3 x 7 x 11 x 1 x 311 x 10 x 19 = 54599160

Therefore, the lowest common multiple of 924,311,280,627 is 54599160.

LCM Formula to Find Lowest Common Multiple of 924,311,280,627

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.

924 x 311 x 280 x 627 = 50449623840

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.

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

311 : 1, 311

280 : 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

627 : 1, 3, 11, 19, 33, 57, 209, 627

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 924,311,280,627, is 1.

Now, the common factors can be found like this.

924:2x 2x 3x 7x 11

311:311

280:2x 2x 2x 5x 7

627:3x 11x 19

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 3x 7x 11 = 924

Therefore, the value for common factors is 924.

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 = 50449623840/(1x924)

LCM = 50449623840/924

LCM = 54599160

Thus, we can understand that the LCM of 924,311,280,627 is 54599160.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 924, 311, 280, 627

1. What is the LCM of 924, 311, 280, 627?

Answer: LCM of 924, 311, 280, 627 is 54599160.

2. How to calculate the LCM of 924, 311, 280, 627?

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 924, 311, 280, 627.

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}.