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LCM of 653, 287, 386, 386

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


Find the LCM of 653, 287, 386, 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 653, 287, 386, 386. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 653,287,386,386

Given numbers are 653,287,386,386

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

The LCM of 653,287,386,386 is 72340646.

Find LCM of 653,287,386,386 with Prime Factorization


2 653, 287, 386, 386
193 653, 287, 193, 193
653, 287, 1, 1

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

2 x 193 x 653 x 287 x 1 x 1 = 72340646

Therefore, the lowest common multiple of 653,287,386,386 is 72340646.

LCM Formula to Find Lowest Common Multiple of 653,287,386,386

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.

653 x 287 x 386 x 386 = 27923489356

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.

653 : 1, 653

287 : 1, 7, 41, 287

386 : 1, 2, 193, 386

386 : 1, 2, 193, 386

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 653,287,386,386, is 1.

Now, the common factors can be found like this.

653:653

287:7x 41

386:2x 193

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 193 = 386

Therefore, the value for common factors is 386.

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 = 27923489356/(1x386)

LCM = 27923489356/386

LCM = 72340646

Thus, we can understand that the LCM of 653,287,386,386 is 72340646.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 653, 287, 386, 386

1. What is the LCM of 653, 287, 386, 386?

Answer: LCM of 653, 287, 386, 386 is 72340646.

2. How to calculate the LCM of 653, 287, 386, 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 653, 287, 386, 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}.