LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

LCM of 350, 527, 867, 130, 401

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


Find the LCM of 350, 527, 867, 130, 401 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 350, 527, 867, 130, 401. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 350,527,867,130,401

Given numbers are 350,527,867,130,401

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

The LCM of 350,527,867,130,401 is 49038430350.

Find LCM of 350,527,867,130,401 with Prime Factorization


2 350, 527, 867, 130, 401
5 175, 527, 867, 65, 401
17 35, 527, 867, 13, 401
35, 31, 51, 13, 401

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

2 x 5 x 17 x 35 x 31 x 51 x 13 x 401 = 49038430350

Therefore, the lowest common multiple of 350,527,867,130,401 is 49038430350.

LCM Formula to Find Lowest Common Multiple of 350,527,867,130,401

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.

350 x 527 x 867 x 130 x 401 = 8336533159500

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.

350 : 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

527 : 1, 17, 31, 527

867 : 1, 3, 17, 51, 289, 867

130 : 1, 2, 5, 10, 13, 26, 65, 130

401 : 1, 401

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 350,527,867,130,401, is 1.

Now, the common factors can be found like this.

350:2x 5x 5x 7

527:17x 31

867:3x 17x 17

130:2x 5x 13

401:401

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

2x 5x 17 = 170

Therefore, the value for common factors is 170.

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 = 8336533159500/(1x170)

LCM = 8336533159500/170

LCM = 49038430350

Thus, we can understand that the LCM of 350,527,867,130,401 is 49038430350.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 350, 527, 867, 130, 401

1. What is the LCM of 350, 527, 867, 130, 401?

Answer: LCM of 350, 527, 867, 130, 401 is 49038430350.

2. How to calculate the LCM of 350, 527, 867, 130, 401?

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 350, 527, 867, 130, 401.

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}.