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LCM of 594, 416, 176, 548

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


Find the LCM of 594, 416, 176, 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 594, 416, 176, 548. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 594,416,176,548

Given numbers are 594,416,176,548

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

The LCM of 594,416,176,548 is 16926624.

Find LCM of 594,416,176,548 with Prime Factorization


2 594, 416, 176, 548
2 297, 208, 88, 274
2 297, 104, 44, 137
2 297, 52, 22, 137
11 297, 26, 11, 137
27, 26, 1, 137

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

2 x 2 x 2 x 2 x 11 x 27 x 26 x 1 x 137 = 16926624

Therefore, the lowest common multiple of 594,416,176,548 is 16926624.

LCM Formula to Find Lowest Common Multiple of 594,416,176,548

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.

594 x 416 x 176 x 548 = 23832686592

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.

594 : 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594

416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

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

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 594,416,176,548, is 2.

Now, the common factors can be found like this.

594:2x 3x 3x 3x 11

416:2x 2x 2x 2x 2x 13

176:2x 2x 2x 2x 11

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 2x 2x 2x 2x 2x 11 = 704

Therefore, the value for common factors is 704.

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 = 23832686592/(2x704)

LCM = 23832686592/1408

LCM = 16926624

Thus, we can understand that the LCM of 594,416,176,548 is 16926624.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 594, 416, 176, 548

1. What is the LCM of 594, 416, 176, 548?

Answer: LCM of 594, 416, 176, 548 is 16926624.

2. How to calculate the LCM of 594, 416, 176, 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 594, 416, 176, 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}.