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LCM of 778, 778, 759, 468

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


Find the LCM of 778, 778, 759, 468 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 778, 778, 759, 468. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 778,778,759,468

Given numbers are 778,778,759,468

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

The LCM of 778,778,759,468 is 46059156.

Find LCM of 778,778,759,468 with Prime Factorization


2 778, 778, 759, 468
3 389, 389, 759, 234
389 389, 389, 253, 78
1, 1, 253, 78

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

2 x 3 x 389 x 1 x 1 x 253 x 78 = 46059156

Therefore, the lowest common multiple of 778,778,759,468 is 46059156.

LCM Formula to Find Lowest Common Multiple of 778,778,759,468

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.

778 x 778 x 759 x 468 = 215004140208

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.

778 : 1, 2, 389, 778

778 : 1, 2, 389, 778

759 : 1, 3, 11, 23, 33, 69, 253, 759

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 778,778,759,468, is 1.

Now, the common factors can be found like this.

778:2x 389

778:2x 389

759:3x 11x 23

468:2x 2x 3x 3x 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 3x 389 = 4668

Therefore, the value for common factors is 4668.

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 = 215004140208/(1x4668)

LCM = 215004140208/4668

LCM = 46059156

Thus, we can understand that the LCM of 778,778,759,468 is 46059156.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 778, 778, 759, 468

1. What is the LCM of 778, 778, 759, 468?

Answer: LCM of 778, 778, 759, 468 is 46059156.

2. How to calculate the LCM of 778, 778, 759, 468?

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 778, 778, 759, 468.

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}.