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LCM of 533, 751, 574, 638

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


Find the LCM of 533, 751, 574, 638 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 533, 751, 574, 638. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 533,751,574,638

Given numbers are 533,751,574,638

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

The LCM of 533,751,574,638 is 1787663878.

Find LCM of 533,751,574,638 with Prime Factorization


2 533, 751, 574, 638
41 533, 751, 287, 319
13, 751, 7, 319

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

2 x 41 x 13 x 751 x 7 x 319 = 1787663878

Therefore, the lowest common multiple of 533,751,574,638 is 1787663878.

LCM Formula to Find Lowest Common Multiple of 533,751,574,638

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.

533 x 751 x 574 x 638 = 146588437996

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.

533 : 1, 13, 41, 533

751 : 1, 751

574 : 1, 2, 7, 14, 41, 82, 287, 574

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 533,751,574,638, is 1.

Now, the common factors can be found like this.

533:13x 41

751:751

574:2x 7x 41

638:2x 11x 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 41 = 82

Therefore, the value for common factors is 82.

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 = 146588437996/(1x82)

LCM = 146588437996/82

LCM = 1787663878

Thus, we can understand that the LCM of 533,751,574,638 is 1787663878.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 533, 751, 574, 638

1. What is the LCM of 533, 751, 574, 638?

Answer: LCM of 533, 751, 574, 638 is 1787663878.

2. How to calculate the LCM of 533, 751, 574, 638?

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 533, 751, 574, 638.

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}.