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LCM of 533, 302, 445, 746

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


Find the LCM of 533, 302, 445, 746 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, 302, 445, 746. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 533,302,445,746

Given numbers are 533,302,445,746

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

The LCM of 533,302,445,746 is 26717941510.

Find LCM of 533,302,445,746 with Prime Factorization


2 533, 302, 445, 746
533, 151, 445, 373

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

2 x 533 x 151 x 445 x 373 = 26717941510

Therefore, the lowest common multiple of 533,302,445,746 is 26717941510.

LCM Formula to Find Lowest Common Multiple of 533,302,445,746

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 302 x 445 x 746 = 53435883020

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

302 : 1, 2, 151, 302

445 : 1, 5, 89, 445

746 : 1, 2, 373, 746

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 533,302,445,746, is 1.

Now, the common factors can be found like this.

533:13x 41

302:2x 151

445:5x 89

746:2x 373

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

2 = 2

Therefore, the value for common factors is 2.

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 = 53435883020/(1x2)

LCM = 53435883020/2

LCM = 26717941510

Thus, we can understand that the LCM of 533,302,445,746 is 26717941510.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 533, 302, 445, 746

1. What is the LCM of 533, 302, 445, 746?

Answer: LCM of 533, 302, 445, 746 is 26717941510.

2. How to calculate the LCM of 533, 302, 445, 746?

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, 302, 445, 746.

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}.