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LCM of 774, 862, 509, 242, 772

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


Find the LCM of 774, 862, 509, 242, 772 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 774, 862, 509, 242, 772. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 774,862,509,242,772

Given numbers are 774,862,509,242,772

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

The LCM of 774,862,509,242,772 is 7930648254276.

Find LCM of 774,862,509,242,772 with Prime Factorization


2 774, 862, 509, 242, 772
387, 431, 509, 121, 386

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

2 x 387 x 431 x 509 x 121 x 386 = 7930648254276

Therefore, the lowest common multiple of 774,862,509,242,772 is 7930648254276.

LCM Formula to Find Lowest Common Multiple of 774,862,509,242,772

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.

774 x 862 x 509 x 242 x 772 = 63445186034208

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.

774 : 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

862 : 1, 2, 431, 862

509 : 1, 509

242 : 1, 2, 11, 22, 121, 242

772 : 1, 2, 4, 193, 386, 772

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 774,862,509,242,772, is 1.

Now, the common factors can be found like this.

774:2x 3x 3x 43

862:2x 431

509:509

242:2x 11x 11

772:2x 2x 193

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

2x 2x 2 = 8

Therefore, the value for common factors is 8.

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 = 63445186034208/(1x8)

LCM = 63445186034208/8

LCM = 7930648254276

Thus, we can understand that the LCM of 774,862,509,242,772 is 7930648254276.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 774, 862, 509, 242, 772

1. What is the LCM of 774, 862, 509, 242, 772?

Answer: LCM of 774, 862, 509, 242, 772 is 7930648254276.

2. How to calculate the LCM of 774, 862, 509, 242, 772?

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 774, 862, 509, 242, 772.

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}.