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LCM of 856, 542, 532, 963, 250

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


Find the LCM of 856, 542, 532, 963, 250 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 856, 542, 532, 963, 250. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 856,542,532,963,250

Given numbers are 856,542,532,963,250

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

The LCM of 856,542,532,963,250 is 34709409000.

Find LCM of 856,542,532,963,250 with Prime Factorization


2 856, 542, 532, 963, 250
2 428, 271, 266, 963, 125
107 214, 271, 133, 963, 125
2, 271, 133, 9, 125

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

2 x 2 x 107 x 2 x 271 x 133 x 9 x 125 = 34709409000

Therefore, the lowest common multiple of 856,542,532,963,250 is 34709409000.

LCM Formula to Find Lowest Common Multiple of 856,542,532,963,250

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.

856 x 542 x 532 x 963 x 250 = 59422508208000

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.

856 : 1, 2, 4, 8, 107, 214, 428, 856

542 : 1, 2, 271, 542

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

963 : 1, 3, 9, 107, 321, 963

250 : 1, 2, 5, 10, 25, 50, 125, 250

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 856,542,532,963,250, is 1.

Now, the common factors can be found like this.

856:2x 2x 2x 107

542:2x 271

532:2x 2x 7x 19

963:3x 3x 107

250:2x 5x 5x 5

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 107 = 1712

Therefore, the value for common factors is 1712.

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 = 59422508208000/(1x1712)

LCM = 59422508208000/1712

LCM = 34709409000

Thus, we can understand that the LCM of 856,542,532,963,250 is 34709409000.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 856, 542, 532, 963, 250

1. What is the LCM of 856, 542, 532, 963, 250?

Answer: LCM of 856, 542, 532, 963, 250 is 34709409000.

2. How to calculate the LCM of 856, 542, 532, 963, 250?

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 856, 542, 532, 963, 250.

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}.