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LCM of 253, 681, 508, 737

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


Find the LCM of 253, 681, 508, 737 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 253, 681, 508, 737. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 253,681,508,737

Given numbers are 253,681,508,737

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

The LCM of 253,681,508,737 is 5864164548.

Find LCM of 253,681,508,737 with Prime Factorization


11 253, 681, 508, 737
23, 681, 508, 67

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

11 x 23 x 681 x 508 x 67 = 5864164548

Therefore, the lowest common multiple of 253,681,508,737 is 5864164548.

LCM Formula to Find Lowest Common Multiple of 253,681,508,737

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.

253 x 681 x 508 x 737 = 64505810028

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.

253 : 1, 11, 23, 253

681 : 1, 3, 227, 681

508 : 1, 2, 4, 127, 254, 508

737 : 1, 11, 67, 737

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 253,681,508,737, is 1.

Now, the common factors can be found like this.

253:11x 23

681:3x 227

508:2x 2x 127

737:11x 67

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

11 = 11

Therefore, the value for common factors is 11.

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 = 64505810028/(1x11)

LCM = 64505810028/11

LCM = 5864164548

Thus, we can understand that the LCM of 253,681,508,737 is 5864164548.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 253, 681, 508, 737

1. What is the LCM of 253, 681, 508, 737?

Answer: LCM of 253, 681, 508, 737 is 5864164548.

2. How to calculate the LCM of 253, 681, 508, 737?

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 253, 681, 508, 737.

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}.