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LCM of 780, 548, 676, 277

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


Find the LCM of 780, 548, 676, 277 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 780, 548, 676, 277. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 780,548,676,277

Given numbers are 780,548,676,277

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

The LCM of 780,548,676,277 is 384802860.

Find LCM of 780,548,676,277 with Prime Factorization


2 780, 548, 676, 277
2 390, 274, 338, 277
13 195, 137, 169, 277
15, 137, 13, 277

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

2 x 2 x 13 x 15 x 137 x 13 x 277 = 384802860

Therefore, the lowest common multiple of 780,548,676,277 is 384802860.

LCM Formula to Find Lowest Common Multiple of 780,548,676,277

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.

780 x 548 x 676 x 277 = 80038994880

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.

780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

548 : 1, 2, 4, 137, 274, 548

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

277 : 1, 277

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 780,548,676,277, is 1.

Now, the common factors can be found like this.

780:2x 2x 3x 5x 13

548:2x 2x 137

676:2x 2x 13x 13

277:277

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 2x 2x 13 = 208

Therefore, the value for common factors is 208.

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 = 80038994880/(1x208)

LCM = 80038994880/208

LCM = 384802860

Thus, we can understand that the LCM of 780,548,676,277 is 384802860.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 780, 548, 676, 277

1. What is the LCM of 780, 548, 676, 277?

Answer: LCM of 780, 548, 676, 277 is 384802860.

2. How to calculate the LCM of 780, 548, 676, 277?

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 780, 548, 676, 277.

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}.