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LCM of 993, 526, 739, 428, 386

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


Find the LCM of 993, 526, 739, 428, 386 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 993, 526, 739, 428, 386. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 993,526,739,428,386

Given numbers are 993,526,739,428,386

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

The LCM of 993,526,739,428,386 is 15942282968604.

Find LCM of 993,526,739,428,386 with Prime Factorization


2 993, 526, 739, 428, 386
993, 263, 739, 214, 193

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

2 x 993 x 263 x 739 x 214 x 193 = 15942282968604

Therefore, the lowest common multiple of 993,526,739,428,386 is 15942282968604.

LCM Formula to Find Lowest Common Multiple of 993,526,739,428,386

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.

993 x 526 x 739 x 428 x 386 = 63769131874416

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.

993 : 1, 3, 331, 993

526 : 1, 2, 263, 526

739 : 1, 739

428 : 1, 2, 4, 107, 214, 428

386 : 1, 2, 193, 386

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 993,526,739,428,386, is 1.

Now, the common factors can be found like this.

993:3x 331

526:2x 263

739:739

428:2x 2x 107

386:2x 193

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 63769131874416/(1x4)

LCM = 63769131874416/4

LCM = 15942282968604

Thus, we can understand that the LCM of 993,526,739,428,386 is 15942282968604.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 993, 526, 739, 428, 386

1. What is the LCM of 993, 526, 739, 428, 386?

Answer: LCM of 993, 526, 739, 428, 386 is 15942282968604.

2. How to calculate the LCM of 993, 526, 739, 428, 386?

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 993, 526, 739, 428, 386.

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}.