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LCM of 736, 307, 771, 896, 497

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


Find the LCM of 736, 307, 771, 896, 497 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, 307, 771, 896, 497. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 736,307,771,896,497

Given numbers are 736,307,771,896,497

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

The LCM of 736,307,771,896,497 is 346327476096.

Find LCM of 736,307,771,896,497 with Prime Factorization


2 736, 307, 771, 896, 497
2 368, 307, 771, 448, 497
2 184, 307, 771, 224, 497
2 92, 307, 771, 112, 497
2 46, 307, 771, 56, 497
7 23, 307, 771, 28, 497
23, 307, 771, 4, 71

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

2 x 2 x 2 x 2 x 2 x 7 x 23 x 307 x 771 x 4 x 71 = 346327476096

Therefore, the lowest common multiple of 736,307,771,896,497 is 346327476096.

LCM Formula to Find Lowest Common Multiple of 736,307,771,896,497

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 307 x 771 x 896 x 497 = 77577354645504

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

307 : 1, 307

771 : 1, 3, 257, 771

896 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

497 : 1, 7, 71, 497

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 736,307,771,896,497, is 1.

Now, the common factors can be found like this.

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

307:307

771:3x 257

896:2x 2x 2x 2x 2x 2x 2x 7

497:7x 71

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 7 = 224

Therefore, the value for common factors is 224.

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 = 77577354645504/(1x224)

LCM = 77577354645504/224

LCM = 346327476096

Thus, we can understand that the LCM of 736,307,771,896,497 is 346327476096.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 736, 307, 771, 896, 497

1. What is the LCM of 736, 307, 771, 896, 497?

Answer: LCM of 736, 307, 771, 896, 497 is 346327476096.

2. How to calculate the LCM of 736, 307, 771, 896, 497?

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, 307, 771, 896, 497.

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}.