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LCM of 676, 737, 307, 201, 562

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


Find the LCM of 676, 737, 307, 201, 562 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 676, 737, 307, 201, 562. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 676,737,307,201,562

Given numbers are 676,737,307,201,562

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

The LCM of 676,737,307,201,562 is 128937763812.

Find LCM of 676,737,307,201,562 with Prime Factorization


2 676, 737, 307, 201, 562
67 338, 737, 307, 201, 281
338, 11, 307, 3, 281

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

2 x 67 x 338 x 11 x 307 x 3 x 281 = 128937763812

Therefore, the lowest common multiple of 676,737,307,201,562 is 128937763812.

LCM Formula to Find Lowest Common Multiple of 676,737,307,201,562

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.

676 x 737 x 307 x 201 x 562 = 17277660350808

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.

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

737 : 1, 11, 67, 737

307 : 1, 307

201 : 1, 3, 67, 201

562 : 1, 2, 281, 562

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 676,737,307,201,562, is 1.

Now, the common factors can be found like this.

676:2x 2x 13x 13

737:11x 67

307:307

201:3x 67

562:2x 281

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

2x 67 = 134

Therefore, the value for common factors is 134.

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 = 17277660350808/(1x134)

LCM = 17277660350808/134

LCM = 128937763812

Thus, we can understand that the LCM of 676,737,307,201,562 is 128937763812.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 676, 737, 307, 201, 562

1. What is the LCM of 676, 737, 307, 201, 562?

Answer: LCM of 676, 737, 307, 201, 562 is 128937763812.

2. How to calculate the LCM of 676, 737, 307, 201, 562?

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 676, 737, 307, 201, 562.

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}.