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LCM of 774, 929, 497, 876

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


Find the LCM of 774, 929, 497, 876 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 774, 929, 497, 876. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 774,929,497,876

Given numbers are 774,929,497,876

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

The LCM of 774,929,497,876 is 52175415852.

Find LCM of 774,929,497,876 with Prime Factorization


2 774, 929, 497, 876
3 387, 929, 497, 438
129, 929, 497, 146

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

2 x 3 x 129 x 929 x 497 x 146 = 52175415852

Therefore, the lowest common multiple of 774,929,497,876 is 52175415852.

LCM Formula to Find Lowest Common Multiple of 774,929,497,876

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.

774 x 929 x 497 x 876 = 313052495112

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.

774 : 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

929 : 1, 929

497 : 1, 7, 71, 497

876 : 1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 774,929,497,876, is 1.

Now, the common factors can be found like this.

774:2x 3x 3x 43

929:929

497:7x 71

876:2x 2x 3x 73

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 313052495112/(1x6)

LCM = 313052495112/6

LCM = 52175415852

Thus, we can understand that the LCM of 774,929,497,876 is 52175415852.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 774, 929, 497, 876

1. What is the LCM of 774, 929, 497, 876?

Answer: LCM of 774, 929, 497, 876 is 52175415852.

2. How to calculate the LCM of 774, 929, 497, 876?

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 774, 929, 497, 876.

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}.