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LCM of 475, 386, 526, 386

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


Find the LCM of 475, 386, 526, 386 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 475, 386, 526, 386. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 475,386,526,386

Given numbers are 475,386,526,386

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

The LCM of 475,386,526,386 is 48221050.

Find LCM of 475,386,526,386 with Prime Factorization


2 475, 386, 526, 386
193 475, 193, 263, 193
475, 1, 263, 1

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

2 x 193 x 475 x 1 x 263 x 1 = 48221050

Therefore, the lowest common multiple of 475,386,526,386 is 48221050.

LCM Formula to Find Lowest Common Multiple of 475,386,526,386

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.

475 x 386 x 526 x 386 = 37226650600

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.

475 : 1, 5, 19, 25, 95, 475

386 : 1, 2, 193, 386

526 : 1, 2, 263, 526

386 : 1, 2, 193, 386

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 475,386,526,386, is 1.

Now, the common factors can be found like this.

475:5x 5x 19

386:2x 193

526:2x 263

386:2x 193

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 193 = 772

Therefore, the value for common factors is 772.

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 = 37226650600/(1x772)

LCM = 37226650600/772

LCM = 48221050

Thus, we can understand that the LCM of 475,386,526,386 is 48221050.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 475, 386, 526, 386

1. What is the LCM of 475, 386, 526, 386?

Answer: LCM of 475, 386, 526, 386 is 48221050.

2. How to calculate the LCM of 475, 386, 526, 386?

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 475, 386, 526, 386.

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}.