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LCM of 787, 339, 791, 778

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


Find the LCM of 787, 339, 791, 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 787, 339, 791, 778. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 787,339,791,778

Given numbers are 787,339,791,778

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

The LCM of 787,339,791,778 is 1452954678.

Find LCM of 787,339,791,778 with Prime Factorization


113 787, 339, 791, 778
787, 3, 7, 778

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

113 x 787 x 3 x 7 x 778 = 1452954678

Therefore, the lowest common multiple of 787,339,791,778 is 1452954678.

LCM Formula to Find Lowest Common Multiple of 787,339,791,778

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.

787 x 339 x 791 x 778 = 164183878614

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.

787 : 1, 787

339 : 1, 3, 113, 339

791 : 1, 7, 113, 791

778 : 1, 2, 389, 778

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 787,339,791,778, is 1.

Now, the common factors can be found like this.

787:787

339:3x 113

791:7x 113

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.

113 = 113

Therefore, the value for common factors is 113.

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 = 164183878614/(1x113)

LCM = 164183878614/113

LCM = 1452954678

Thus, we can understand that the LCM of 787,339,791,778 is 1452954678.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 787, 339, 791, 778

1. What is the LCM of 787, 339, 791, 778?

Answer: LCM of 787, 339, 791, 778 is 1452954678.

2. How to calculate the LCM of 787, 339, 791, 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 787, 339, 791, 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}.