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LCM of 930, 602, 694, 248

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


Find the LCM of 930, 602, 694, 248 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 930, 602, 694, 248. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 930,602,694,248

Given numbers are 930,602,694,248

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

The LCM of 930,602,694,248 is 388542840.

Find LCM of 930,602,694,248 with Prime Factorization


2 930, 602, 694, 248
31 465, 301, 347, 124
15, 301, 347, 4

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

2 x 31 x 15 x 301 x 347 x 4 = 388542840

Therefore, the lowest common multiple of 930,602,694,248 is 388542840.

LCM Formula to Find Lowest Common Multiple of 930,602,694,248

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.

930 x 602 x 694 x 248 = 96358624320

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.

930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930

602 : 1, 2, 7, 14, 43, 86, 301, 602

694 : 1, 2, 347, 694

248 : 1, 2, 4, 8, 31, 62, 124, 248

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 930,602,694,248, is 2.

Now, the common factors can be found like this.

930:2x 3x 5x 31

602:2x 7x 43

694:2x 347

248:2x 2x 2x 31

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 31 = 124

Therefore, the value for common factors is 124.

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 = 96358624320/(2x124)

LCM = 96358624320/248

LCM = 388542840

Thus, we can understand that the LCM of 930,602,694,248 is 388542840.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 930, 602, 694, 248

1. What is the LCM of 930, 602, 694, 248?

Answer: LCM of 930, 602, 694, 248 is 388542840.

2. How to calculate the LCM of 930, 602, 694, 248?

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 930, 602, 694, 248.

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}.