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LCM of 506, 545, 109, 193

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


Find the LCM of 506, 545, 109, 193 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 506, 545, 109, 193. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 506,545,109,193

Given numbers are 506,545,109,193

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

The LCM of 506,545,109,193 is 53223610.

Find LCM of 506,545,109,193 with Prime Factorization


109 506, 545, 109, 193
506, 5, 1, 193

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

109 x 506 x 5 x 1 x 193 = 53223610

Therefore, the lowest common multiple of 506,545,109,193 is 53223610.

LCM Formula to Find Lowest Common Multiple of 506,545,109,193

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.

506 x 545 x 109 x 193 = 5801373490

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.

506 : 1, 2, 11, 22, 23, 46, 253, 506

545 : 1, 5, 109, 545

109 : 1, 109

193 : 1, 193

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 506,545,109,193, is 1.

Now, the common factors can be found like this.

506:2x 11x 23

545:5x 109

109:109

193:193

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

109 = 109

Therefore, the value for common factors is 109.

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 = 5801373490/(1x109)

LCM = 5801373490/109

LCM = 53223610

Thus, we can understand that the LCM of 506,545,109,193 is 53223610.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 506, 545, 109, 193

1. What is the LCM of 506, 545, 109, 193?

Answer: LCM of 506, 545, 109, 193 is 53223610.

2. How to calculate the LCM of 506, 545, 109, 193?

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 506, 545, 109, 193.

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}.