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LCM of 194, 411, 548, 670

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


Find the LCM of 194, 411, 548, 670 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 194, 411, 548, 670. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 194,411,548,670

Given numbers are 194,411,548,670

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

The LCM of 194,411,548,670 is 53421780.

Find LCM of 194,411,548,670 with Prime Factorization


2 194, 411, 548, 670
137 97, 411, 274, 335
97, 3, 2, 335

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

2 x 137 x 97 x 3 x 2 x 335 = 53421780

Therefore, the lowest common multiple of 194,411,548,670 is 53421780.

LCM Formula to Find Lowest Common Multiple of 194,411,548,670

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.

194 x 411 x 548 x 670 = 29275135440

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.

194 : 1, 2, 97, 194

411 : 1, 3, 137, 411

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

670 : 1, 2, 5, 10, 67, 134, 335, 670

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 194,411,548,670, is 1.

Now, the common factors can be found like this.

194:2x 97

411:3x 137

548:2x 2x 137

670:2x 5x 67

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 137 = 548

Therefore, the value for common factors is 548.

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 = 29275135440/(1x548)

LCM = 29275135440/548

LCM = 53421780

Thus, we can understand that the LCM of 194,411,548,670 is 53421780.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 194, 411, 548, 670

1. What is the LCM of 194, 411, 548, 670?

Answer: LCM of 194, 411, 548, 670 is 53421780.

2. How to calculate the LCM of 194, 411, 548, 670?

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 194, 411, 548, 670.

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}.