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LCM of 744, 639, 568, 993

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


Find the LCM of 744, 639, 568, 993 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 744, 639, 568, 993. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 744,639,568,993

Given numbers are 744,639,568,993

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

The LCM of 744,639,568,993 is 52454232.

Find LCM of 744,639,568,993 with Prime Factorization


2 744, 639, 568, 993
2 372, 639, 284, 993
2 186, 639, 142, 993
3 93, 639, 71, 993
71 31, 213, 71, 331
31, 3, 1, 331

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

2 x 2 x 2 x 3 x 71 x 31 x 3 x 1 x 331 = 52454232

Therefore, the lowest common multiple of 744,639,568,993 is 52454232.

LCM Formula to Find Lowest Common Multiple of 744,639,568,993

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.

744 x 639 x 568 x 993 = 268146033984

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.

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

639 : 1, 3, 9, 71, 213, 639

568 : 1, 2, 4, 8, 71, 142, 284, 568

993 : 1, 3, 331, 993

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 744,639,568,993, is 1.

Now, the common factors can be found like this.

744:2x 2x 2x 3x 31

639:3x 3x 71

568:2x 2x 2x 71

993:3x 331

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 3x 3x 71 = 5112

Therefore, the value for common factors is 5112.

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 = 268146033984/(1x5112)

LCM = 268146033984/5112

LCM = 52454232

Thus, we can understand that the LCM of 744,639,568,993 is 52454232.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 744, 639, 568, 993

1. What is the LCM of 744, 639, 568, 993?

Answer: LCM of 744, 639, 568, 993 is 52454232.

2. How to calculate the LCM of 744, 639, 568, 993?

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 744, 639, 568, 993.

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}.