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LCM of 734, 650, 663, 655

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


Find the LCM of 734, 650, 663, 655 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, 650, 663, 655. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 734,650,663,655

Given numbers are 734,650,663,655

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

The LCM of 734,650,663,655 is 1593752550.

Find LCM of 734,650,663,655 with Prime Factorization


2 734, 650, 663, 655
5 367, 325, 663, 655
13 367, 65, 663, 131
367, 5, 51, 131

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

2 x 5 x 13 x 367 x 5 x 51 x 131 = 1593752550

Therefore, the lowest common multiple of 734,650,663,655 is 1593752550.

LCM Formula to Find Lowest Common Multiple of 734,650,663,655

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 650 x 663 x 655 = 207187831500

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

650 : 1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650

663 : 1, 3, 13, 17, 39, 51, 221, 663

655 : 1, 5, 131, 655

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 734,650,663,655, is 1.

Now, the common factors can be found like this.

734:2x 367

650:2x 5x 5x 13

663:3x 13x 17

655:5x 131

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 5x 13 = 130

Therefore, the value for common factors is 130.

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 = 207187831500/(1x130)

LCM = 207187831500/130

LCM = 1593752550

Thus, we can understand that the LCM of 734,650,663,655 is 1593752550.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 734, 650, 663, 655

1. What is the LCM of 734, 650, 663, 655?

Answer: LCM of 734, 650, 663, 655 is 1593752550.

2. How to calculate the LCM of 734, 650, 663, 655?

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, 650, 663, 655.

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}.