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LCM of 676, 506, 737, 477

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


Find the LCM of 676, 506, 737, 477 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, 506, 737, 477. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 676,506,737,477

Given numbers are 676,506,737,477

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

The LCM of 676,506,737,477 is 5465883852.

Find LCM of 676,506,737,477 with Prime Factorization


2 676, 506, 737, 477
11 338, 253, 737, 477
338, 23, 67, 477

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

2 x 11 x 338 x 23 x 67 x 477 = 5465883852

Therefore, the lowest common multiple of 676,506,737,477 is 5465883852.

LCM Formula to Find Lowest Common Multiple of 676,506,737,477

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 506 x 737 x 477 = 120249444744

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

506 : 1, 2, 11, 22, 23, 46, 253, 506

737 : 1, 11, 67, 737

477 : 1, 3, 9, 53, 159, 477

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 676,506,737,477, is 1.

Now, the common factors can be found like this.

676:2x 2x 13x 13

506:2x 11x 23

737:11x 67

477:3x 3x 53

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

2x 11 = 22

Therefore, the value for common factors is 22.

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 = 120249444744/(1x22)

LCM = 120249444744/22

LCM = 5465883852

Thus, we can understand that the LCM of 676,506,737,477 is 5465883852.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 676, 506, 737, 477

1. What is the LCM of 676, 506, 737, 477?

Answer: LCM of 676, 506, 737, 477 is 5465883852.

2. How to calculate the LCM of 676, 506, 737, 477?

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, 506, 737, 477.

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}.