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LCM of 838, 484, 551, 711, 416

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


Find the LCM of 838, 484, 551, 711, 416 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 838, 484, 551, 711, 416. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 838,484,551,711,416

Given numbers are 838,484,551,711,416

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

The LCM of 838,484,551,711,416 is 8262546630624.

Find LCM of 838,484,551,711,416 with Prime Factorization


2 838, 484, 551, 711, 416
2 419, 242, 551, 711, 208
419, 121, 551, 711, 104

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

2 x 2 x 419 x 121 x 551 x 711 x 104 = 8262546630624

Therefore, the lowest common multiple of 838,484,551,711,416 is 8262546630624.

LCM Formula to Find Lowest Common Multiple of 838,484,551,711,416

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.

838 x 484 x 551 x 711 x 416 = 66100373044992

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.

838 : 1, 2, 419, 838

484 : 1, 2, 4, 11, 22, 44, 121, 242, 484

551 : 1, 19, 29, 551

711 : 1, 3, 9, 79, 237, 711

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 838,484,551,711,416, is 1.

Now, the common factors can be found like this.

838:2x 419

484:2x 2x 11x 11

551:19x 29

711:3x 3x 79

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

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 = 66100373044992/(1x8)

LCM = 66100373044992/8

LCM = 8262546630624

Thus, we can understand that the LCM of 838,484,551,711,416 is 8262546630624.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 838, 484, 551, 711, 416

1. What is the LCM of 838, 484, 551, 711, 416?

Answer: LCM of 838, 484, 551, 711, 416 is 8262546630624.

2. How to calculate the LCM of 838, 484, 551, 711, 416?

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 838, 484, 551, 711, 416.

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}.