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LCM of 156, 480, 452, 744, 494

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


Find the LCM of 156, 480, 452, 744, 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 156, 480, 452, 744, 494. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 156,480,452,744,494

Given numbers are 156,480,452,744,494

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

The LCM of 156,480,452,744,494 is 415315680.

Find LCM of 156,480,452,744,494 with Prime Factorization


2 156, 480, 452, 744, 494
2 78, 240, 226, 372, 247
2 39, 120, 113, 186, 247
3 39, 60, 113, 93, 247
13 13, 20, 113, 31, 247
1, 20, 113, 31, 19

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

2 x 2 x 2 x 3 x 13 x 1 x 20 x 113 x 31 x 19 = 415315680

Therefore, the lowest common multiple of 156,480,452,744,494 is 415315680.

LCM Formula to Find Lowest Common Multiple of 156,480,452,744,494

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.

156 x 480 x 452 x 744 x 494 = 12439535247360

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.

156 : 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

452 : 1, 2, 4, 113, 226, 452

744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

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 156,480,452,744,494, is 2.

Now, the common factors can be found like this.

156:2x 2x 3x 13

480:2x 2x 2x 2x 2x 3x 5

452:2x 2x 113

744:2x 2x 2x 3x 31

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 2x 2x 2x 2x 2x 3x 3x 13 = 14976

Therefore, the value for common factors is 14976.

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 = 12439535247360/(2x14976)

LCM = 12439535247360/29952

LCM = 415315680

Thus, we can understand that the LCM of 156,480,452,744,494 is 415315680.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 156, 480, 452, 744, 494

1. What is the LCM of 156, 480, 452, 744, 494?

Answer: LCM of 156, 480, 452, 744, 494 is 415315680.

2. How to calculate the LCM of 156, 480, 452, 744, 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 156, 480, 452, 744, 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}.