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LCM of 734, 782, 264, 697, 592

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


Find the LCM of 734, 782, 264, 697, 592 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 734, 782, 264, 697, 592. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 734,782,264,697,592

Given numbers are 734,782,264,697,592

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

The LCM of 734,782,264,697,592 is 114937653072.

Find LCM of 734,782,264,697,592 with Prime Factorization


2 734, 782, 264, 697, 592
2 367, 391, 132, 697, 296
2 367, 391, 66, 697, 148
17 367, 391, 33, 697, 74
367, 23, 33, 41, 74

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

2 x 2 x 2 x 17 x 367 x 23 x 33 x 41 x 74 = 114937653072

Therefore, the lowest common multiple of 734,782,264,697,592 is 114937653072.

LCM Formula to Find Lowest Common Multiple of 734,782,264,697,592

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.

734 x 782 x 264 x 697 x 592 = 62526083271168

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.

734 : 1, 2, 367, 734

782 : 1, 2, 17, 23, 34, 46, 391, 782

264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

697 : 1, 17, 41, 697

592 : 1, 2, 4, 8, 16, 37, 74, 148, 296, 592

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 734,782,264,697,592, is 1.

Now, the common factors can be found like this.

734:2x 367

782:2x 17x 23

264:2x 2x 2x 3x 11

697:17x 41

592:2x 2x 2x 2x 37

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 17 = 544

Therefore, the value for common factors is 544.

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 = 62526083271168/(1x544)

LCM = 62526083271168/544

LCM = 114937653072

Thus, we can understand that the LCM of 734,782,264,697,592 is 114937653072.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 734, 782, 264, 697, 592

1. What is the LCM of 734, 782, 264, 697, 592?

Answer: LCM of 734, 782, 264, 697, 592 is 114937653072.

2. How to calculate the LCM of 734, 782, 264, 697, 592?

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 734, 782, 264, 697, 592.

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}.