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LCM of 532, 428, 920, 785

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


Find the LCM of 532, 428, 920, 785 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 532, 428, 920, 785. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 532,428,920,785

Given numbers are 532,428,920,785

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

The LCM of 532,428,920,785 is 2055525640.

Find LCM of 532,428,920,785 with Prime Factorization


2 532, 428, 920, 785
2 266, 214, 460, 785
5 133, 107, 230, 785
133, 107, 46, 157

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

2 x 2 x 5 x 133 x 107 x 46 x 157 = 2055525640

Therefore, the lowest common multiple of 532,428,920,785 is 2055525640.

LCM Formula to Find Lowest Common Multiple of 532,428,920,785

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.

532 x 428 x 920 x 785 = 164442051200

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.

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

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

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

785 : 1, 5, 157, 785

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 532,428,920,785, is 1.

Now, the common factors can be found like this.

532:2x 2x 7x 19

428:2x 2x 107

920:2x 2x 2x 5x 23

785:5x 157

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 5 = 80

Therefore, the value for common factors is 80.

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 = 164442051200/(1x80)

LCM = 164442051200/80

LCM = 2055525640

Thus, we can understand that the LCM of 532,428,920,785 is 2055525640.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 532, 428, 920, 785

1. What is the LCM of 532, 428, 920, 785?

Answer: LCM of 532, 428, 920, 785 is 2055525640.

2. How to calculate the LCM of 532, 428, 920, 785?

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 532, 428, 920, 785.

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}.