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LCM of 734, 596, 509, 245

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


Find the LCM of 734, 596, 509, 245 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, 596, 509, 245. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 734,596,509,245

Given numbers are 734,596,509,245

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

The LCM of 734,596,509,245 is 27276974060.

Find LCM of 734,596,509,245 with Prime Factorization


2 734, 596, 509, 245
367, 298, 509, 245

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

2 x 367 x 298 x 509 x 245 = 27276974060

Therefore, the lowest common multiple of 734,596,509,245 is 27276974060.

LCM Formula to Find Lowest Common Multiple of 734,596,509,245

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 596 x 509 x 245 = 54553948120

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

596 : 1, 2, 4, 149, 298, 596

509 : 1, 509

245 : 1, 5, 7, 35, 49, 245

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 734,596,509,245, is 1.

Now, the common factors can be found like this.

734:2x 367

596:2x 2x 149

509:509

245:5x 7x 7

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

2 = 2

Therefore, the value for common factors is 2.

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 = 54553948120/(1x2)

LCM = 54553948120/2

LCM = 27276974060

Thus, we can understand that the LCM of 734,596,509,245 is 27276974060.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 734, 596, 509, 245

1. What is the LCM of 734, 596, 509, 245?

Answer: LCM of 734, 596, 509, 245 is 27276974060.

2. How to calculate the LCM of 734, 596, 509, 245?

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, 596, 509, 245.

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}.