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LCM of 708, 936, 494

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


Find the LCM of 708, 936, 494 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 708, 936, 494. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 708,936,494

Given numbers are 708,936,494

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

The LCM of 708,936,494 is 1049256.

Find LCM of 708,936,494 with Prime Factorization


2 708, 936, 494
2 354, 468, 247
3 177, 234, 247
13 59, 78, 247
59, 6, 19

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

2 x 2 x 3 x 13 x 59 x 6 x 19 = 1049256

Therefore, the lowest common multiple of 708,936,494 is 1049256.

LCM Formula to Find Lowest Common Multiple of 708,936,494

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.

708 x 936 x 494 = 327367872

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.

708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

494 : 1, 2, 13, 19, 26, 38, 247, 494

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 708,936,494, is 2.

Now, the common factors can be found like this.

708:2x 2x 3x 59

936:2x 2x 2x 3x 3x 13

494:2x 13x 19

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 3x 13 = 156

Therefore, the value for common factors is 156.

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 = 327367872/(2x156)

LCM = 327367872/312

LCM = 1049256

Thus, we can understand that the LCM of 708,936,494 is 1049256.

LCM of two or more Numbers Calculation Examples

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

FAQs on LCM of 708, 936, 494

1. What is the LCM of 708, 936, 494?

Answer: LCM of 708, 936, 494 is 1049256.

2. How to calculate the LCM of 708, 936, 494?

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 708, 936, 494.

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}.