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LCM of 126, 434, 182, 903

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


Find the LCM of 126, 434, 182, 903 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 126, 434, 182, 903. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 126,434,182,903

Given numbers are 126,434,182,903

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

The LCM of 126,434,182,903 is 2183454.

Find LCM of 126,434,182,903 with Prime Factorization


2 126, 434, 182, 903
3 63, 217, 91, 903
7 21, 217, 91, 301
3, 31, 13, 43

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

2 x 3 x 7 x 3 x 31 x 13 x 43 = 2183454

Therefore, the lowest common multiple of 126,434,182,903 is 2183454.

LCM Formula to Find Lowest Common Multiple of 126,434,182,903

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.

126 x 434 x 182 x 903 = 8987096664

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.

126 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

434 : 1, 2, 7, 14, 31, 62, 217, 434

182 : 1, 2, 7, 13, 14, 26, 91, 182

903 : 1, 3, 7, 21, 43, 129, 301, 903

7 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 126,434,182,903, is 7.

Now, the common factors can be found like this.

126:2x 3x 3x 7

434:2x 7x 31

182:2x 7x 13

903:3x 7x 43

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

2x 2x 3x 7x 7 = 588

Therefore, the value for common factors is 588.

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 = 8987096664/(7x588)

LCM = 8987096664/4116

LCM = 2183454

Thus, we can understand that the LCM of 126,434,182,903 is 2183454.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 126, 434, 182, 903

1. What is the LCM of 126, 434, 182, 903?

Answer: LCM of 126, 434, 182, 903 is 2183454.

2. How to calculate the LCM of 126, 434, 182, 903?

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 126, 434, 182, 903.

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}.