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LCM of 493, 638, 102

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


Find the LCM of 493, 638, 102 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, 638, 102. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 493,638,102

Given numbers are 493,638,102

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

The LCM of 493,638,102 is 32538.

Find LCM of 493,638,102 with Prime Factorization


2 493, 638, 102
17 493, 319, 51
29 29, 319, 3
1, 11, 3

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

2 x 17 x 29 x 1 x 11 x 3 = 32538

Therefore, the lowest common multiple of 493,638,102 is 32538.

LCM Formula to Find Lowest Common Multiple of 493,638,102

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 638 x 102 = 32082468

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

638 : 1, 2, 11, 22, 29, 58, 319, 638

102 : 1, 2, 3, 6, 17, 34, 51, 102

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 493,638,102, is 1.

Now, the common factors can be found like this.

493:17x 29

638:2x 11x 29

102:2x 3x 17

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

2x 17x 29 = 986

Therefore, the value for common factors is 986.

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 = 32082468/(1x986)

LCM = 32082468/986

LCM = 32538

Thus, we can understand that the LCM of 493,638,102 is 32538.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 493, 638, 102

1. What is the LCM of 493, 638, 102?

Answer: LCM of 493, 638, 102 is 32538.

2. How to calculate the LCM of 493, 638, 102?

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, 638, 102.

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}.