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LCM of 386, 650, 536, 301

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


Find the LCM of 386, 650, 536, 301 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 386, 650, 536, 301. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 386,650,536,301

Given numbers are 386,650,536,301

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

The LCM of 386,650,536,301 is 10119800600.

Find LCM of 386,650,536,301 with Prime Factorization


2 386, 650, 536, 301
193, 325, 268, 301

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

2 x 193 x 325 x 268 x 301 = 10119800600

Therefore, the lowest common multiple of 386,650,536,301 is 10119800600.

LCM Formula to Find Lowest Common Multiple of 386,650,536,301

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.

386 x 650 x 536 x 301 = 40479202400

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.

386 : 1, 2, 193, 386

650 : 1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650

536 : 1, 2, 4, 8, 67, 134, 268, 536

301 : 1, 7, 43, 301

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 386,650,536,301, is 1.

Now, the common factors can be found like this.

386:2x 193

650:2x 5x 5x 13

536:2x 2x 2x 67

301:7x 43

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 40479202400/(1x4)

LCM = 40479202400/4

LCM = 10119800600

Thus, we can understand that the LCM of 386,650,536,301 is 10119800600.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 386, 650, 536, 301

1. What is the LCM of 386, 650, 536, 301?

Answer: LCM of 386, 650, 536, 301 is 10119800600.

2. How to calculate the LCM of 386, 650, 536, 301?

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 386, 650, 536, 301.

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}.