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LCM of 428, 372, 642, 286, 747

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


Find the LCM of 428, 372, 642, 286, 747 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 428, 372, 642, 286, 747. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 428,372,642,286,747

Given numbers are 428,372,642,286,747

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

The LCM of 428,372,642,286,747 is 1417301028.

Find LCM of 428,372,642,286,747 with Prime Factorization


2 428, 372, 642, 286, 747
2 214, 186, 321, 143, 747
3 107, 93, 321, 143, 747
107 107, 31, 107, 143, 249
1, 31, 1, 143, 249

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

2 x 2 x 3 x 107 x 1 x 31 x 1 x 143 x 249 = 1417301028

Therefore, the lowest common multiple of 428,372,642,286,747 is 1417301028.

LCM Formula to Find Lowest Common Multiple of 428,372,642,286,747

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.

428 x 372 x 642 x 286 x 747 = 21837774239424

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.

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

372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

642 : 1, 2, 3, 6, 107, 214, 321, 642

286 : 1, 2, 11, 13, 22, 26, 143, 286

747 : 1, 3, 9, 83, 249, 747

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 428,372,642,286,747, is 1.

Now, the common factors can be found like this.

428:2x 2x 107

372:2x 2x 3x 31

642:2x 3x 107

286:2x 11x 13

747:3x 3x 83

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 2x 2x 3x 3x 107 = 15408

Therefore, the value for common factors is 15408.

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 = 21837774239424/(1x15408)

LCM = 21837774239424/15408

LCM = 1417301028

Thus, we can understand that the LCM of 428,372,642,286,747 is 1417301028.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 428, 372, 642, 286, 747

1. What is the LCM of 428, 372, 642, 286, 747?

Answer: LCM of 428, 372, 642, 286, 747 is 1417301028.

2. How to calculate the LCM of 428, 372, 642, 286, 747?

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 428, 372, 642, 286, 747.

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}.