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LCM of 303, 960, 683, 686, 807

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


Find the LCM of 303, 960, 683, 686, 807 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 303, 960, 683, 686, 807. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 303,960,683,686,807

Given numbers are 303,960,683,686,807

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

The LCM of 303,960,683,686,807 is 6110260282560.

Find LCM of 303,960,683,686,807 with Prime Factorization


2 303, 960, 683, 686, 807
3 303, 480, 683, 343, 807
101, 160, 683, 343, 269

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

2 x 3 x 101 x 160 x 683 x 343 x 269 = 6110260282560

Therefore, the lowest common multiple of 303,960,683,686,807 is 6110260282560.

LCM Formula to Find Lowest Common Multiple of 303,960,683,686,807

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.

303 x 960 x 683 x 686 x 807 = 109984685086080

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.

303 : 1, 3, 101, 303

960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

683 : 1, 683

686 : 1, 2, 7, 14, 49, 98, 343, 686

807 : 1, 3, 269, 807

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 303,960,683,686,807, is 1.

Now, the common factors can be found like this.

303:3x 101

960:2x 2x 2x 2x 2x 2x 3x 5

683:683

686:2x 7x 7x 7

807:3x 269

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 3 = 18

Therefore, the value for common factors is 18.

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 = 109984685086080/(1x18)

LCM = 109984685086080/18

LCM = 6110260282560

Thus, we can understand that the LCM of 303,960,683,686,807 is 6110260282560.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 303, 960, 683, 686, 807

1. What is the LCM of 303, 960, 683, 686, 807?

Answer: LCM of 303, 960, 683, 686, 807 is 6110260282560.

2. How to calculate the LCM of 303, 960, 683, 686, 807?

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 303, 960, 683, 686, 807.

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}.