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LCM of 834, 988, 416

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


Find the LCM of 834, 988, 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 834, 988, 416. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 834,988,416

Given numbers are 834,988,416

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

The LCM of 834,988,416 is 3295968.

Find LCM of 834,988,416 with Prime Factorization


2 834, 988, 416
2 417, 494, 208
13 417, 247, 104
417, 19, 8

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

2 x 2 x 13 x 417 x 19 x 8 = 3295968

Therefore, the lowest common multiple of 834,988,416 is 3295968.

LCM Formula to Find Lowest Common Multiple of 834,988,416

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.

834 x 988 x 416 = 342780672

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.

834 : 1, 2, 3, 6, 139, 278, 417, 834

988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 834,988,416, is 2.

Now, the common factors can be found like this.

834:2x 3x 139

988:2x 2x 13x 19

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 13 = 52

Therefore, the value for common factors is 52.

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 = 342780672/(2x52)

LCM = 342780672/104

LCM = 3295968

Thus, we can understand that the LCM of 834,988,416 is 3295968.

LCM of two or more Numbers Calculation Examples

Here are some samples of LCM of two or more Numbers calculations.

FAQs on LCM of 834, 988, 416

1. What is the LCM of 834, 988, 416?

Answer: LCM of 834, 988, 416 is 3295968.

2. How to calculate the LCM of 834, 988, 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 834, 988, 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}.