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LCM of 617, 299, 856, 548

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


Find the LCM of 617, 299, 856, 548 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 617, 299, 856, 548. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 617,299,856,548

Given numbers are 617,299,856,548

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

The LCM of 617,299,856,548 is 21634690376.

Find LCM of 617,299,856,548 with Prime Factorization


2 617, 299, 856, 548
2 617, 299, 428, 274
617, 299, 214, 137

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

2 x 2 x 617 x 299 x 214 x 137 = 21634690376

Therefore, the lowest common multiple of 617,299,856,548 is 21634690376.

LCM Formula to Find Lowest Common Multiple of 617,299,856,548

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.

617 x 299 x 856 x 548 = 86538761504

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.

617 : 1, 617

299 : 1, 13, 23, 299

856 : 1, 2, 4, 8, 107, 214, 428, 856

548 : 1, 2, 4, 137, 274, 548

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 617,299,856,548, is 1.

Now, the common factors can be found like this.

617:617

299:13x 23

856:2x 2x 2x 107

548:2x 2x 137

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 86538761504/(1x4)

LCM = 86538761504/4

LCM = 21634690376

Thus, we can understand that the LCM of 617,299,856,548 is 21634690376.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 617, 299, 856, 548

1. What is the LCM of 617, 299, 856, 548?

Answer: LCM of 617, 299, 856, 548 is 21634690376.

2. How to calculate the LCM of 617, 299, 856, 548?

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 617, 299, 856, 548.

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}.