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LCM of 633, 281, 744, 952, 248

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


Find the LCM of 633, 281, 744, 952, 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 633, 281, 744, 952, 248. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 633,281,744,952,248

Given numbers are 633,281,744,952,248

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

The LCM of 633,281,744,952,248 is 5249387976.

Find LCM of 633,281,744,952,248 with Prime Factorization


2 633, 281, 744, 952, 248
2 633, 281, 372, 476, 124
2 633, 281, 186, 238, 62
3 633, 281, 93, 119, 31
31 211, 281, 31, 119, 31
211, 281, 1, 119, 1

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

2 x 2 x 2 x 3 x 31 x 211 x 281 x 1 x 119 x 1 = 5249387976

Therefore, the lowest common multiple of 633,281,744,952,248 is 5249387976.

LCM Formula to Find Lowest Common Multiple of 633,281,744,952,248

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.

633 x 281 x 744 x 952 x 248 = 31244357233152

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.

633 : 1, 3, 211, 633

281 : 1, 281

744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

952 : 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 633,281,744,952,248, is 1.

Now, the common factors can be found like this.

633:3x 211

281:281

744:2x 2x 2x 3x 31

952:2x 2x 2x 7x 17

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 2x 2x 2x 2x 3x 31 = 5952

Therefore, the value for common factors is 5952.

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 = 31244357233152/(1x5952)

LCM = 31244357233152/5952

LCM = 5249387976

Thus, we can understand that the LCM of 633,281,744,952,248 is 5249387976.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 633, 281, 744, 952, 248

1. What is the LCM of 633, 281, 744, 952, 248?

Answer: LCM of 633, 281, 744, 952, 248 is 5249387976.

2. How to calculate the LCM of 633, 281, 744, 952, 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 633, 281, 744, 952, 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}.