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LCM of 778, 541, 772, 509, 135

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


Find the LCM of 778, 541, 772, 509, 135 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, 541, 772, 509, 135. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 778,541,772,509,135

Given numbers are 778,541,772,509,135

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

The LCM of 778,541,772,509,135 is 11163894343020.

Find LCM of 778,541,772,509,135 with Prime Factorization


2 778, 541, 772, 509, 135
389, 541, 386, 509, 135

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

2 x 389 x 541 x 386 x 509 x 135 = 11163894343020

Therefore, the lowest common multiple of 778,541,772,509,135 is 11163894343020.

LCM Formula to Find Lowest Common Multiple of 778,541,772,509,135

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 541 x 772 x 509 x 135 = 22327788686040

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

541 : 1, 541

772 : 1, 2, 4, 193, 386, 772

509 : 1, 509

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 778,541,772,509,135, is 1.

Now, the common factors can be found like this.

778:2x 389

541:541

772:2x 2x 193

509:509

135:3x 3x 3x 5

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 = 22327788686040/(1x2)

LCM = 22327788686040/2

LCM = 11163894343020

Thus, we can understand that the LCM of 778,541,772,509,135 is 11163894343020.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 778, 541, 772, 509, 135

1. What is the LCM of 778, 541, 772, 509, 135?

Answer: LCM of 778, 541, 772, 509, 135 is 11163894343020.

2. How to calculate the LCM of 778, 541, 772, 509, 135?

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, 541, 772, 509, 135.

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}.