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LCM of 493, 381, 276, 644

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


Find the LCM of 493, 381, 276, 644 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 493, 381, 276, 644. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 493,381,276,644

Given numbers are 493,381,276,644

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

The LCM of 493,381,276,644 is 120964452.

Find LCM of 493,381,276,644 with Prime Factorization


2 493, 381, 276, 644
2 493, 381, 138, 322
3 493, 381, 69, 161
23 493, 127, 23, 161
493, 127, 1, 7

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

2 x 2 x 3 x 23 x 493 x 127 x 1 x 7 = 120964452

Therefore, the lowest common multiple of 493,381,276,644 is 120964452.

LCM Formula to Find Lowest Common Multiple of 493,381,276,644

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.

493 x 381 x 276 x 644 = 33386188752

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.

493 : 1, 17, 29, 493

381 : 1, 3, 127, 381

276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 493,381,276,644, is 1.

Now, the common factors can be found like this.

493:17x 29

381:3x 127

276:2x 2x 3x 23

644:2x 2x 7x 23

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 23 = 276

Therefore, the value for common factors is 276.

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 = 33386188752/(1x276)

LCM = 33386188752/276

LCM = 120964452

Thus, we can understand that the LCM of 493,381,276,644 is 120964452.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 493, 381, 276, 644

1. What is the LCM of 493, 381, 276, 644?

Answer: LCM of 493, 381, 276, 644 is 120964452.

2. How to calculate the LCM of 493, 381, 276, 644?

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 493, 381, 276, 644.

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}.