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LCM of 775, 461, 778, 536

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


Find the LCM of 775, 461, 778, 536 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 775, 461, 778, 536. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 775,461,778,536

Given numbers are 775,461,778,536

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

The LCM of 775,461,778,536 is 74493266600.

Find LCM of 775,461,778,536 with Prime Factorization


2 775, 461, 778, 536
775, 461, 389, 268

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

2 x 775 x 461 x 389 x 268 = 74493266600

Therefore, the lowest common multiple of 775,461,778,536 is 74493266600.

LCM Formula to Find Lowest Common Multiple of 775,461,778,536

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.

775 x 461 x 778 x 536 = 148986533200

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.

775 : 1, 5, 25, 31, 155, 775

461 : 1, 461

778 : 1, 2, 389, 778

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 775,461,778,536, is 1.

Now, the common factors can be found like this.

775:5x 5x 31

461:461

778:2x 389

536:2x 2x 2x 67

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

2 = 2

Therefore, the value for common factors is 2.

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 = 148986533200/(1x2)

LCM = 148986533200/2

LCM = 74493266600

Thus, we can understand that the LCM of 775,461,778,536 is 74493266600.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 775, 461, 778, 536

1. What is the LCM of 775, 461, 778, 536?

Answer: LCM of 775, 461, 778, 536 is 74493266600.

2. How to calculate the LCM of 775, 461, 778, 536?

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 775, 461, 778, 536.

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}.