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LCM of 779, 871, 624, 493

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


Find the LCM of 779, 871, 624, 493 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 779, 871, 624, 493. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 779,871,624,493

Given numbers are 779,871,624,493

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

The LCM of 779,871,624,493 is 16056236976.

Find LCM of 779,871,624,493 with Prime Factorization


13 779, 871, 624, 493
779, 67, 48, 493

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

13 x 779 x 67 x 48 x 493 = 16056236976

Therefore, the lowest common multiple of 779,871,624,493 is 16056236976.

LCM Formula to Find Lowest Common Multiple of 779,871,624,493

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.

779 x 871 x 624 x 493 = 208731080688

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.

779 : 1, 19, 41, 779

871 : 1, 13, 67, 871

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

493 : 1, 17, 29, 493

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 779,871,624,493, is 1.

Now, the common factors can be found like this.

779:19x 41

871:13x 67

624:2x 2x 2x 2x 3x 13

493:17x 29

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

13 = 13

Therefore, the value for common factors is 13.

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 = 208731080688/(1x13)

LCM = 208731080688/13

LCM = 16056236976

Thus, we can understand that the LCM of 779,871,624,493 is 16056236976.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 779, 871, 624, 493

1. What is the LCM of 779, 871, 624, 493?

Answer: LCM of 779, 871, 624, 493 is 16056236976.

2. How to calculate the LCM of 779, 871, 624, 493?

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 779, 871, 624, 493.

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}.