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LCM of 508, 332, 996, 421

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


Find the LCM of 508, 332, 996, 421 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, 332, 996, 421. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 508,332,996,421

Given numbers are 508,332,996,421

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

The LCM of 508,332,996,421 is 53253132.

Find LCM of 508,332,996,421 with Prime Factorization


2 508, 332, 996, 421
2 254, 166, 498, 421
83 127, 83, 249, 421
127, 1, 3, 421

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

2 x 2 x 83 x 127 x 1 x 3 x 421 = 53253132

Therefore, the lowest common multiple of 508,332,996,421 is 53253132.

LCM Formula to Find Lowest Common Multiple of 508,332,996,421

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 332 x 996 x 421 = 70720159296

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

332 : 1, 2, 4, 83, 166, 332

996 : 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

421 : 1, 421

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 508,332,996,421, is 1.

Now, the common factors can be found like this.

508:2x 2x 127

332:2x 2x 83

996:2x 2x 3x 83

421:421

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 2x 83 = 1328

Therefore, the value for common factors is 1328.

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 = 70720159296/(1x1328)

LCM = 70720159296/1328

LCM = 53253132

Thus, we can understand that the LCM of 508,332,996,421 is 53253132.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 508, 332, 996, 421

1. What is the LCM of 508, 332, 996, 421?

Answer: LCM of 508, 332, 996, 421 is 53253132.

2. How to calculate the LCM of 508, 332, 996, 421?

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, 332, 996, 421.

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}.