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LCM of 578, 394, 611, 533, 140

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


Find the LCM of 578, 394, 611, 533, 140 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 578, 394, 611, 533, 140. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 578,394,611,533,140

Given numbers are 578,394,611,533,140

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

The LCM of 578,394,611,533,140 is 199672001620.

Find LCM of 578,394,611,533,140 with Prime Factorization


2 578, 394, 611, 533, 140
13 289, 197, 611, 533, 70
289, 197, 47, 41, 70

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

2 x 13 x 289 x 197 x 47 x 41 x 70 = 199672001620

Therefore, the lowest common multiple of 578,394,611,533,140 is 199672001620.

LCM Formula to Find Lowest Common Multiple of 578,394,611,533,140

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.

578 x 394 x 611 x 533 x 140 = 10382944084240

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.

578 : 1, 2, 17, 34, 289, 578

394 : 1, 2, 197, 394

611 : 1, 13, 47, 611

533 : 1, 13, 41, 533

140 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 578,394,611,533,140, is 1.

Now, the common factors can be found like this.

578:2x 17x 17

394:2x 197

611:13x 47

533:13x 41

140:2x 2x 5x 7

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 13 = 52

Therefore, the value for common factors is 52.

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 = 10382944084240/(1x52)

LCM = 10382944084240/52

LCM = 199672001620

Thus, we can understand that the LCM of 578,394,611,533,140 is 199672001620.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 578, 394, 611, 533, 140

1. What is the LCM of 578, 394, 611, 533, 140?

Answer: LCM of 578, 394, 611, 533, 140 is 199672001620.

2. How to calculate the LCM of 578, 394, 611, 533, 140?

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 578, 394, 611, 533, 140.

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}.