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LCM of 519, 243, 692, 628

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


Find the LCM of 519, 243, 692, 628 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 519, 243, 692, 628. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 519,243,692,628

Given numbers are 519,243,692,628

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

The LCM of 519,243,692,628 is 26400492.

Find LCM of 519,243,692,628 with Prime Factorization


2 519, 243, 692, 628
2 519, 243, 346, 314
3 519, 243, 173, 157
173 173, 81, 173, 157
1, 81, 1, 157

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

2 x 2 x 3 x 173 x 1 x 81 x 1 x 157 = 26400492

Therefore, the lowest common multiple of 519,243,692,628 is 26400492.

LCM Formula to Find Lowest Common Multiple of 519,243,692,628

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.

519 x 243 x 692 x 628 = 54807421392

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.

519 : 1, 3, 173, 519

243 : 1, 3, 9, 27, 81, 243

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

628 : 1, 2, 4, 157, 314, 628

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 519,243,692,628, is 1.

Now, the common factors can be found like this.

519:3x 173

243:3x 3x 3x 3x 3

692:2x 2x 173

628:2x 2x 157

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 3x 173 = 2076

Therefore, the value for common factors is 2076.

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 = 54807421392/(1x2076)

LCM = 54807421392/2076

LCM = 26400492

Thus, we can understand that the LCM of 519,243,692,628 is 26400492.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 519, 243, 692, 628

1. What is the LCM of 519, 243, 692, 628?

Answer: LCM of 519, 243, 692, 628 is 26400492.

2. How to calculate the LCM of 519, 243, 692, 628?

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 519, 243, 692, 628.

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}.