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LCM of 508, 276, 596, 986

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


Find the LCM of 508, 276, 596, 986 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 508, 276, 596, 986. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 508,276,596,986

Given numbers are 508,276,596,986

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

The LCM of 508,276,596,986 is 2574814764.

Find LCM of 508,276,596,986 with Prime Factorization


2 508, 276, 596, 986
2 254, 138, 298, 493
127, 69, 149, 493

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

2 x 2 x 127 x 69 x 149 x 493 = 2574814764

Therefore, the lowest common multiple of 508,276,596,986 is 2574814764.

LCM Formula to Find Lowest Common Multiple of 508,276,596,986

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.

508 x 276 x 596 x 986 = 82394072448

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.

508 : 1, 2, 4, 127, 254, 508

276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

596 : 1, 2, 4, 149, 298, 596

986 : 1, 2, 17, 29, 34, 58, 493, 986

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 508,276,596,986, is 2.

Now, the common factors can be found like this.

508:2x 2x 127

276:2x 2x 3x 23

596:2x 2x 149

986:2x 17x 29

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 2x 2 = 16

Therefore, the value for common factors is 16.

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 = 82394072448/(2x16)

LCM = 82394072448/32

LCM = 2574814764

Thus, we can understand that the LCM of 508,276,596,986 is 2574814764.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 508, 276, 596, 986

1. What is the LCM of 508, 276, 596, 986?

Answer: LCM of 508, 276, 596, 986 is 2574814764.

2. How to calculate the LCM of 508, 276, 596, 986?

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 508, 276, 596, 986.

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}.