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LCM of 310, 883, 513, 697, 776

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


Find the LCM of 310, 883, 513, 697, 776 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 310, 883, 513, 697, 776. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 310,883,513,697,776

Given numbers are 310,883,513,697,776

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

The LCM of 310,883,513,697,776 is 37975566941640.

Find LCM of 310,883,513,697,776 with Prime Factorization


2 310, 883, 513, 697, 776
155, 883, 513, 697, 388

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

2 x 155 x 883 x 513 x 697 x 388 = 37975566941640

Therefore, the lowest common multiple of 310,883,513,697,776 is 37975566941640.

LCM Formula to Find Lowest Common Multiple of 310,883,513,697,776

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.

310 x 883 x 513 x 697 x 776 = 75951133883280

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.

310 : 1, 2, 5, 10, 31, 62, 155, 310

883 : 1, 883

513 : 1, 3, 9, 19, 27, 57, 171, 513

697 : 1, 17, 41, 697

776 : 1, 2, 4, 8, 97, 194, 388, 776

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 310,883,513,697,776, is 1.

Now, the common factors can be found like this.

310:2x 5x 31

883:883

513:3x 3x 3x 19

697:17x 41

776:2x 2x 2x 97

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

2 = 2

Therefore, the value for common factors is 2.

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 = 75951133883280/(1x2)

LCM = 75951133883280/2

LCM = 37975566941640

Thus, we can understand that the LCM of 310,883,513,697,776 is 37975566941640.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 310, 883, 513, 697, 776

1. What is the LCM of 310, 883, 513, 697, 776?

Answer: LCM of 310, 883, 513, 697, 776 is 37975566941640.

2. How to calculate the LCM of 310, 883, 513, 697, 776?

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 310, 883, 513, 697, 776.

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}.