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LCM of 773, 182, 536, 676

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


Find the LCM of 773, 182, 536, 676 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 773, 182, 536, 676. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 773,182,536,676

Given numbers are 773,182,536,676

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

The LCM of 773,182,536,676 is 490150024.

Find LCM of 773,182,536,676 with Prime Factorization


2 773, 182, 536, 676
2 773, 91, 268, 338
13 773, 91, 134, 169
773, 7, 134, 13

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

2 x 2 x 13 x 773 x 7 x 134 x 13 = 490150024

Therefore, the lowest common multiple of 773,182,536,676 is 490150024.

LCM Formula to Find Lowest Common Multiple of 773,182,536,676

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.

773 x 182 x 536 x 676 = 50975602496

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.

773 : 1, 773

182 : 1, 2, 7, 13, 14, 26, 91, 182

536 : 1, 2, 4, 8, 67, 134, 268, 536

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 773,182,536,676, is 1.

Now, the common factors can be found like this.

773:773

182:2x 7x 13

536:2x 2x 2x 67

676:2x 2x 13x 13

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 13 = 104

Therefore, the value for common factors is 104.

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 = 50975602496/(1x104)

LCM = 50975602496/104

LCM = 490150024

Thus, we can understand that the LCM of 773,182,536,676 is 490150024.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 773, 182, 536, 676

1. What is the LCM of 773, 182, 536, 676?

Answer: LCM of 773, 182, 536, 676 is 490150024.

2. How to calculate the LCM of 773, 182, 536, 676?

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 773, 182, 536, 676.

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}.