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LCM of 526, 578, 871, 851, 783

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


Find the LCM of 526, 578, 871, 851, 783 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 526, 578, 871, 851, 783. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 526,578,871,851,783

Given numbers are 526,578,871,851,783

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

The LCM of 526,578,871,851,783 is 88225283800602.

Find LCM of 526,578,871,851,783 with Prime Factorization


2 526, 578, 871, 851, 783
263, 289, 871, 851, 783

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

2 x 263 x 289 x 871 x 851 x 783 = 88225283800602

Therefore, the lowest common multiple of 526,578,871,851,783 is 88225283800602.

LCM Formula to Find Lowest Common Multiple of 526,578,871,851,783

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.

526 x 578 x 871 x 851 x 783 = 176450567601204

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.

526 : 1, 2, 263, 526

578 : 1, 2, 17, 34, 289, 578

871 : 1, 13, 67, 871

851 : 1, 23, 37, 851

783 : 1, 3, 9, 27, 29, 87, 261, 783

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 526,578,871,851,783, is 1.

Now, the common factors can be found like this.

526:2x 263

578:2x 17x 17

871:13x 67

851:23x 37

783:3x 3x 3x 29

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2 = 2

Therefore, the value for common factors is 2.

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 = 176450567601204/(1x2)

LCM = 176450567601204/2

LCM = 88225283800602

Thus, we can understand that the LCM of 526,578,871,851,783 is 88225283800602.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 526, 578, 871, 851, 783

1. What is the LCM of 526, 578, 871, 851, 783?

Answer: LCM of 526, 578, 871, 851, 783 is 88225283800602.

2. How to calculate the LCM of 526, 578, 871, 851, 783?

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 526, 578, 871, 851, 783.

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}.