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LCM of 736, 102, 667, 493, 203

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


Find the LCM of 736, 102, 667, 493, 203 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 736, 102, 667, 493, 203. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 736,102,667,493,203

Given numbers are 736,102,667,493,203

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

The LCM of 736,102,667,493,203 is 7619808.

Find LCM of 736,102,667,493,203 with Prime Factorization


2 736, 102, 667, 493, 203
17 368, 51, 667, 493, 203
23 368, 3, 667, 29, 203
29 16, 3, 29, 29, 203
16, 3, 1, 1, 7

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

2 x 17 x 23 x 29 x 16 x 3 x 1 x 1 x 7 = 7619808

Therefore, the lowest common multiple of 736,102,667,493,203 is 7619808.

LCM Formula to Find Lowest Common Multiple of 736,102,667,493,203

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.

736 x 102 x 667 x 493 x 203 = 5011258168896

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.

736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

102 : 1, 2, 3, 6, 17, 34, 51, 102

667 : 1, 23, 29, 667

493 : 1, 17, 29, 493

203 : 1, 7, 29, 203

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 736,102,667,493,203, is 1.

Now, the common factors can be found like this.

736:2x 2x 2x 2x 2x 23

102:2x 3x 17

667:23x 29

493:17x 29

203:7x 29

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

2x 17x 23x 29x 29 = 657662

Therefore, the value for common factors is 657662.

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 = 5011258168896/(1x657662)

LCM = 5011258168896/657662

LCM = 7619808

Thus, we can understand that the LCM of 736,102,667,493,203 is 7619808.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 736, 102, 667, 493, 203

1. What is the LCM of 736, 102, 667, 493, 203?

Answer: LCM of 736, 102, 667, 493, 203 is 7619808.

2. How to calculate the LCM of 736, 102, 667, 493, 203?

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 736, 102, 667, 493, 203.

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}.