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LCM of 779, 600, 615, 606

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


Find the LCM of 779, 600, 615, 606 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, 600, 615, 606. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 779,600,615,606

Given numbers are 779,600,615,606

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

The LCM of 779,600,615,606 is 47207400.

Find LCM of 779,600,615,606 with Prime Factorization


2 779, 600, 615, 606
3 779, 300, 615, 303
5 779, 100, 205, 101
41 779, 20, 41, 101
19, 20, 1, 101

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

2 x 3 x 5 x 41 x 19 x 20 x 1 x 101 = 47207400

Therefore, the lowest common multiple of 779,600,615,606 is 47207400.

LCM Formula to Find Lowest Common Multiple of 779,600,615,606

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 600 x 615 x 606 = 174195306000

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

600 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

615 : 1, 3, 5, 15, 41, 123, 205, 615

606 : 1, 2, 3, 6, 101, 202, 303, 606

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 779,600,615,606, is 1.

Now, the common factors can be found like this.

779:19x 41

600:2x 2x 2x 3x 5x 5

615:3x 5x 41

606:2x 3x 101

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

2x 3x 3x 5x 41 = 3690

Therefore, the value for common factors is 3690.

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 = 174195306000/(1x3690)

LCM = 174195306000/3690

LCM = 47207400

Thus, we can understand that the LCM of 779,600,615,606 is 47207400.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 779, 600, 615, 606

1. What is the LCM of 779, 600, 615, 606?

Answer: LCM of 779, 600, 615, 606 is 47207400.

2. How to calculate the LCM of 779, 600, 615, 606?

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, 600, 615, 606.

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}.