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LCM of 130, 283, 707, 505

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


Find the LCM of 130, 283, 707, 505 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, 283, 707, 505. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 130,283,707,505

Given numbers are 130,283,707,505

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

The LCM of 130,283,707,505 is 26010530.

Find LCM of 130,283,707,505 with Prime Factorization


5 130, 283, 707, 505
101 26, 283, 707, 101
26, 283, 7, 1

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

5 x 101 x 26 x 283 x 7 x 1 = 26010530

Therefore, the lowest common multiple of 130,283,707,505 is 26010530.

LCM Formula to Find Lowest Common Multiple of 130,283,707,505

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 283 x 707 x 505 = 13135317650

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

283 : 1, 283

707 : 1, 7, 101, 707

505 : 1, 5, 101, 505

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 130,283,707,505, is 1.

Now, the common factors can be found like this.

130:2x 5x 13

283:283

707:7x 101

505:5x 101

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

5x 101 = 505

Therefore, the value for common factors is 505.

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 = 13135317650/(1x505)

LCM = 13135317650/505

LCM = 26010530

Thus, we can understand that the LCM of 130,283,707,505 is 26010530.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 130, 283, 707, 505

1. What is the LCM of 130, 283, 707, 505?

Answer: LCM of 130, 283, 707, 505 is 26010530.

2. How to calculate the LCM of 130, 283, 707, 505?

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, 283, 707, 505.

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}.