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LCM of 767, 674, 253, 256

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


Find the LCM of 767, 674, 253, 256 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 767, 674, 253, 256. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 767,674,253,256

Given numbers are 767,674,253,256

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

The LCM of 767,674,253,256 is 16741167872.

Find LCM of 767,674,253,256 with Prime Factorization


2 767, 674, 253, 256
767, 337, 253, 128

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

2 x 767 x 337 x 253 x 128 = 16741167872

Therefore, the lowest common multiple of 767,674,253,256 is 16741167872.

LCM Formula to Find Lowest Common Multiple of 767,674,253,256

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.

767 x 674 x 253 x 256 = 33482335744

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.

767 : 1, 13, 59, 767

674 : 1, 2, 337, 674

253 : 1, 11, 23, 253

256 : 1, 2, 4, 8, 16, 32, 64, 128, 256

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 767,674,253,256, is 1.

Now, the common factors can be found like this.

767:13x 59

674:2x 337

253:11x 23

256:2x 2x 2x 2x 2x 2x 2x 2

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 = 33482335744/(1x2)

LCM = 33482335744/2

LCM = 16741167872

Thus, we can understand that the LCM of 767,674,253,256 is 16741167872.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 767, 674, 253, 256

1. What is the LCM of 767, 674, 253, 256?

Answer: LCM of 767, 674, 253, 256 is 16741167872.

2. How to calculate the LCM of 767, 674, 253, 256?

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 767, 674, 253, 256.

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}.