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LCM of 123, 707, 143, 130

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


Find the LCM of 123, 707, 143, 130 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 123, 707, 143, 130. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 123,707,143,130

Given numbers are 123,707,143,130

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

The LCM of 123,707,143,130 is 124354230.

Find LCM of 123,707,143,130 with Prime Factorization


13 123, 707, 143, 130
123, 707, 11, 10

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

13 x 123 x 707 x 11 x 10 = 124354230

Therefore, the lowest common multiple of 123,707,143,130 is 124354230.

LCM Formula to Find Lowest Common Multiple of 123,707,143,130

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.

123 x 707 x 143 x 130 = 1616604990

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.

123 : 1, 3, 41, 123

707 : 1, 7, 101, 707

143 : 1, 11, 13, 143

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 123,707,143,130, is 1.

Now, the common factors can be found like this.

123:3x 41

707:7x 101

143:11x 13

130:2x 5x 13

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

13 = 13

Therefore, the value for common factors is 13.

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 = 1616604990/(1x13)

LCM = 1616604990/13

LCM = 124354230

Thus, we can understand that the LCM of 123,707,143,130 is 124354230.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 123, 707, 143, 130

1. What is the LCM of 123, 707, 143, 130?

Answer: LCM of 123, 707, 143, 130 is 124354230.

2. How to calculate the LCM of 123, 707, 143, 130?

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 123, 707, 143, 130.

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}.