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LCM of 537, 381, 914, 750

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


Find the LCM of 537, 381, 914, 750 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 537, 381, 914, 750. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 537,381,914,750

Given numbers are 537,381,914,750

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

The LCM of 537,381,914,750 is 7791735750.

Find LCM of 537,381,914,750 with Prime Factorization


2 537, 381, 914, 750
3 537, 381, 457, 375
179, 127, 457, 125

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

2 x 3 x 179 x 127 x 457 x 125 = 7791735750

Therefore, the lowest common multiple of 537,381,914,750 is 7791735750.

LCM Formula to Find Lowest Common Multiple of 537,381,914,750

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.

537 x 381 x 914 x 750 = 140251243500

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.

537 : 1, 3, 179, 537

381 : 1, 3, 127, 381

914 : 1, 2, 457, 914

750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 537,381,914,750, is 1.

Now, the common factors can be found like this.

537:3x 179

381:3x 127

914:2x 457

750:2x 3x 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 3x 3 = 18

Therefore, the value for common factors is 18.

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 = 140251243500/(1x18)

LCM = 140251243500/18

LCM = 7791735750

Thus, we can understand that the LCM of 537,381,914,750 is 7791735750.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 537, 381, 914, 750

1. What is the LCM of 537, 381, 914, 750?

Answer: LCM of 537, 381, 914, 750 is 7791735750.

2. How to calculate the LCM of 537, 381, 914, 750?

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 537, 381, 914, 750.

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}.