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LCM of 135, 778, 892, 778

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


Find the LCM of 135, 778, 892, 778 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 135, 778, 892, 778. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 135,778,892,778

Given numbers are 135,778,892,778

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

The LCM of 135,778,892,778 is 46843380.

Find LCM of 135,778,892,778 with Prime Factorization


2 135, 778, 892, 778
389 135, 389, 446, 389
135, 1, 446, 1

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

2 x 389 x 135 x 1 x 446 x 1 = 46843380

Therefore, the lowest common multiple of 135,778,892,778 is 46843380.

LCM Formula to Find Lowest Common Multiple of 135,778,892,778

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.

135 x 778 x 892 x 778 = 72888299280

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.

135 : 1, 3, 5, 9, 15, 27, 45, 135

778 : 1, 2, 389, 778

892 : 1, 2, 4, 223, 446, 892

778 : 1, 2, 389, 778

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 135,778,892,778, is 1.

Now, the common factors can be found like this.

135:3x 3x 3x 5

778:2x 389

892:2x 2x 223

778:2x 389

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 389 = 1556

Therefore, the value for common factors is 1556.

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 = 72888299280/(1x1556)

LCM = 72888299280/1556

LCM = 46843380

Thus, we can understand that the LCM of 135,778,892,778 is 46843380.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 135, 778, 892, 778

1. What is the LCM of 135, 778, 892, 778?

Answer: LCM of 135, 778, 892, 778 is 46843380.

2. How to calculate the LCM of 135, 778, 892, 778?

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 135, 778, 892, 778.

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}.