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LCM of 744, 973, 944, 832

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


Find the LCM of 744, 973, 944, 832 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, 973, 944, 832. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 744,973,944,832

Given numbers are 744,973,944,832

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

The LCM of 744,973,944,832 is 4441924032.

Find LCM of 744,973,944,832 with Prime Factorization


2 744, 973, 944, 832
2 372, 973, 472, 416
2 186, 973, 236, 208
2 93, 973, 118, 104
93, 973, 59, 52

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

2 x 2 x 2 x 2 x 93 x 973 x 59 x 52 = 4441924032

Therefore, the lowest common multiple of 744,973,944,832 is 4441924032.

LCM Formula to Find Lowest Common Multiple of 744,973,944,832

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 973 x 944 x 832 = 568566276096

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

973 : 1, 7, 139, 973

944 : 1, 2, 4, 8, 16, 59, 118, 236, 472, 944

832 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 744,973,944,832, is 1.

Now, the common factors can be found like this.

744:2x 2x 2x 3x 31

973:7x 139

944:2x 2x 2x 2x 59

832:2x 2x 2x 2x 2x 2x 13

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 2 = 128

Therefore, the value for common factors is 128.

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 = 568566276096/(1x128)

LCM = 568566276096/128

LCM = 4441924032

Thus, we can understand that the LCM of 744,973,944,832 is 4441924032.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 744, 973, 944, 832

1. What is the LCM of 744, 973, 944, 832?

Answer: LCM of 744, 973, 944, 832 is 4441924032.

2. How to calculate the LCM of 744, 973, 944, 832?

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, 973, 944, 832.

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}.