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LCM of 531, 655, 909, 131

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


Find the LCM of 531, 655, 909, 131 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 531, 655, 909, 131. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 531,655,909,131

Given numbers are 531,655,909,131

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

The LCM of 531,655,909,131 is 35128305.

Find LCM of 531,655,909,131 with Prime Factorization


3 531, 655, 909, 131
3 177, 655, 303, 131
131 59, 655, 101, 131
59, 5, 101, 1

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

3 x 3 x 131 x 59 x 5 x 101 x 1 = 35128305

Therefore, the lowest common multiple of 531,655,909,131 is 35128305.

LCM Formula to Find Lowest Common Multiple of 531,655,909,131

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.

531 x 655 x 909 x 131 = 41416271595

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.

531 : 1, 3, 9, 59, 177, 531

655 : 1, 5, 131, 655

909 : 1, 3, 9, 101, 303, 909

131 : 1, 131

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 531,655,909,131, is 1.

Now, the common factors can be found like this.

531:3x 3x 59

655:5x 131

909:3x 3x 101

131:131

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

3x 3x 131 = 1179

Therefore, the value for common factors is 1179.

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 = 41416271595/(1x1179)

LCM = 41416271595/1179

LCM = 35128305

Thus, we can understand that the LCM of 531,655,909,131 is 35128305.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 531, 655, 909, 131

1. What is the LCM of 531, 655, 909, 131?

Answer: LCM of 531, 655, 909, 131 is 35128305.

2. How to calculate the LCM of 531, 655, 909, 131?

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 531, 655, 909, 131.

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}.