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LCM of 532, 416, 838, 419

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


Find the LCM of 532, 416, 838, 419 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 532, 416, 838, 419. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 532,416,838,419

Given numbers are 532,416,838,419

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

The LCM of 532,416,838,419 is 23182432.

Find LCM of 532,416,838,419 with Prime Factorization


2 532, 416, 838, 419
2 266, 208, 419, 419
419 133, 104, 419, 419
133, 104, 1, 1

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

2 x 2 x 419 x 133 x 104 x 1 x 1 = 23182432

Therefore, the lowest common multiple of 532,416,838,419 is 23182432.

LCM Formula to Find Lowest Common Multiple of 532,416,838,419

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.

532 x 416 x 838 x 419 = 77707512064

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.

532 : 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

838 : 1, 2, 419, 838

419 : 1, 419

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 532,416,838,419, is 1.

Now, the common factors can be found like this.

532:2x 2x 7x 19

416:2x 2x 2x 2x 2x 13

838:2x 419

419:419

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 419 = 3352

Therefore, the value for common factors is 3352.

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 = 77707512064/(1x3352)

LCM = 77707512064/3352

LCM = 23182432

Thus, we can understand that the LCM of 532,416,838,419 is 23182432.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 532, 416, 838, 419

1. What is the LCM of 532, 416, 838, 419?

Answer: LCM of 532, 416, 838, 419 is 23182432.

2. How to calculate the LCM of 532, 416, 838, 419?

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 532, 416, 838, 419.

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}.