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LCM of 492, 321, 235, 692, 493

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


Find the LCM of 492, 321, 235, 692, 493 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 492, 321, 235, 692, 493. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 492,321,235,692,493

Given numbers are 492,321,235,692,493

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

The LCM of 492,321,235,692,493 is 1055139217260.

Find LCM of 492,321,235,692,493 with Prime Factorization


2 492, 321, 235, 692, 493
2 246, 321, 235, 346, 493
3 123, 321, 235, 173, 493
41, 107, 235, 173, 493

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

2 x 2 x 3 x 41 x 107 x 235 x 173 x 493 = 1055139217260

Therefore, the lowest common multiple of 492,321,235,692,493 is 1055139217260.

LCM Formula to Find Lowest Common Multiple of 492,321,235,692,493

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.

492 x 321 x 235 x 692 x 493 = 12661670607120

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.

492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

321 : 1, 3, 107, 321

235 : 1, 5, 47, 235

692 : 1, 2, 4, 173, 346, 692

493 : 1, 17, 29, 493

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 492,321,235,692,493, is 1.

Now, the common factors can be found like this.

492:2x 2x 3x 41

321:3x 107

235:5x 47

692:2x 2x 173

493:17x 29

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 3 = 12

Therefore, the value for common factors is 12.

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 = 12661670607120/(1x12)

LCM = 12661670607120/12

LCM = 1055139217260

Thus, we can understand that the LCM of 492,321,235,692,493 is 1055139217260.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 492, 321, 235, 692, 493

1. What is the LCM of 492, 321, 235, 692, 493?

Answer: LCM of 492, 321, 235, 692, 493 is 1055139217260.

2. How to calculate the LCM of 492, 321, 235, 692, 493?

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 492, 321, 235, 692, 493.

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}.