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LCM of 548, 554, 894, 190

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


Find the LCM of 548, 554, 894, 190 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 548, 554, 894, 190. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 548,554,894,190

Given numbers are 548,554,894,190

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

The LCM of 548,554,894,190 is 6446017140.

Find LCM of 548,554,894,190 with Prime Factorization


2 548, 554, 894, 190
274, 277, 447, 95

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

2 x 274 x 277 x 447 x 95 = 6446017140

Therefore, the lowest common multiple of 548,554,894,190 is 6446017140.

LCM Formula to Find Lowest Common Multiple of 548,554,894,190

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.

548 x 554 x 894 x 190 = 51568137120

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.

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

554 : 1, 2, 277, 554

894 : 1, 2, 3, 6, 149, 298, 447, 894

190 : 1, 2, 5, 10, 19, 38, 95, 190

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 548,554,894,190, is 2.

Now, the common factors can be found like this.

548:2x 2x 137

554:2x 277

894:2x 3x 149

190:2x 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.

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 = 51568137120/(2x4)

LCM = 51568137120/8

LCM = 6446017140

Thus, we can understand that the LCM of 548,554,894,190 is 6446017140.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 548, 554, 894, 190

1. What is the LCM of 548, 554, 894, 190?

Answer: LCM of 548, 554, 894, 190 is 6446017140.

2. How to calculate the LCM of 548, 554, 894, 190?

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 548, 554, 894, 190.

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}.