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 130, 149, 596, 985

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


Find the LCM of 130, 149, 596, 985 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 130, 149, 596, 985. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 130,149,596,985

Given numbers are 130,149,596,985

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

The LCM of 130,149,596,985 is 7631780.

Find LCM of 130,149,596,985 with Prime Factorization


2 130, 149, 596, 985
5 65, 149, 298, 985
149 13, 149, 298, 197
13, 1, 2, 197

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

2 x 5 x 149 x 13 x 1 x 2 x 197 = 7631780

Therefore, the lowest common multiple of 130,149,596,985 is 7631780.

LCM Formula to Find Lowest Common Multiple of 130,149,596,985

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.

130 x 149 x 596 x 985 = 11371352200

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.

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

149 : 1, 149

596 : 1, 2, 4, 149, 298, 596

985 : 1, 5, 197, 985

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 130,149,596,985, is 1.

Now, the common factors can be found like this.

130:2x 5x 13

149:149

596:2x 2x 149

985:5x 197

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 149 = 1490

Therefore, the value for common factors is 1490.

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 = 11371352200/(1x1490)

LCM = 11371352200/1490

LCM = 7631780

Thus, we can understand that the LCM of 130,149,596,985 is 7631780.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 130, 149, 596, 985

1. What is the LCM of 130, 149, 596, 985?

Answer: LCM of 130, 149, 596, 985 is 7631780.

2. How to calculate the LCM of 130, 149, 596, 985?

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 130, 149, 596, 985.

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}.