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LCM of 203, 141, 103, 623

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


Find the LCM of 203, 141, 103, 623 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 203, 141, 103, 623. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 203,141,103,623

Given numbers are 203,141,103,623

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

The LCM of 203,141,103,623 is 262387041.

Find LCM of 203,141,103,623 with Prime Factorization


7 203, 141, 103, 623
29, 141, 103, 89

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

7 x 29 x 141 x 103 x 89 = 262387041

Therefore, the lowest common multiple of 203,141,103,623 is 262387041.

LCM Formula to Find Lowest Common Multiple of 203,141,103,623

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.

203 x 141 x 103 x 623 = 1836709287

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.

203 : 1, 7, 29, 203

141 : 1, 3, 47, 141

103 : 1, 103

623 : 1, 7, 89, 623

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 203,141,103,623, is 1.

Now, the common factors can be found like this.

203:7x 29

141:3x 47

103:103

623:7x 89

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

7 = 7

Therefore, the value for common factors is 7.

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 = 1836709287/(1x7)

LCM = 1836709287/7

LCM = 262387041

Thus, we can understand that the LCM of 203,141,103,623 is 262387041.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 203, 141, 103, 623

1. What is the LCM of 203, 141, 103, 623?

Answer: LCM of 203, 141, 103, 623 is 262387041.

2. How to calculate the LCM of 203, 141, 103, 623?

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 203, 141, 103, 623.

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}.