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LCM of 463, 428, 938, 294

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


Find the LCM of 463, 428, 938, 294 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 463, 428, 938, 294. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 463,428,938,294

Given numbers are 463,428,938,294

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

The LCM of 463,428,938,294 is 1951717236.

Find LCM of 463,428,938,294 with Prime Factorization


2 463, 428, 938, 294
7 463, 214, 469, 147
463, 214, 67, 21

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

2 x 7 x 463 x 214 x 67 x 21 = 1951717236

Therefore, the lowest common multiple of 463,428,938,294 is 1951717236.

LCM Formula to Find Lowest Common Multiple of 463,428,938,294

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.

463 x 428 x 938 x 294 = 54648082608

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.

463 : 1, 463

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

938 : 1, 2, 7, 14, 67, 134, 469, 938

294 : 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 463,428,938,294, is 1.

Now, the common factors can be found like this.

463:463

428:2x 2x 107

938:2x 7x 67

294:2x 3x 7x 7

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 7 = 28

Therefore, the value for common factors is 28.

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 = 54648082608/(1x28)

LCM = 54648082608/28

LCM = 1951717236

Thus, we can understand that the LCM of 463,428,938,294 is 1951717236.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 463, 428, 938, 294

1. What is the LCM of 463, 428, 938, 294?

Answer: LCM of 463, 428, 938, 294 is 1951717236.

2. How to calculate the LCM of 463, 428, 938, 294?

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 463, 428, 938, 294.

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}.