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LCM of 126, 574, 221, 507, 906

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


Find the LCM of 126, 574, 221, 507, 906 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, 574, 221, 507, 906. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 126,574,221,507,906

Given numbers are 126,574,221,507,906

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

The LCM of 126,574,221,507,906 is 2241129618.

Find LCM of 126,574,221,507,906 with Prime Factorization


2 126, 574, 221, 507, 906
3 63, 287, 221, 507, 453
7 21, 287, 221, 169, 151
13 3, 41, 221, 169, 151
3, 41, 17, 13, 151

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

2 x 3 x 7 x 13 x 3 x 41 x 17 x 13 x 151 = 2241129618

Therefore, the lowest common multiple of 126,574,221,507,906 is 2241129618.

LCM Formula to Find Lowest Common Multiple of 126,574,221,507,906

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 574 x 221 x 507 x 906 = 7341940628568

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

574 : 1, 2, 7, 14, 41, 82, 287, 574

221 : 1, 13, 17, 221

507 : 1, 3, 13, 39, 169, 507

906 : 1, 2, 3, 6, 151, 302, 453, 906

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 126,574,221,507,906, is 1.

Now, the common factors can be found like this.

126:2x 3x 3x 7

574:2x 7x 41

221:13x 17

507:3x 13x 13

906:2x 3x 151

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 3x 7x 13 = 3276

Therefore, the value for common factors is 3276.

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 = 7341940628568/(1x3276)

LCM = 7341940628568/3276

LCM = 2241129618

Thus, we can understand that the LCM of 126,574,221,507,906 is 2241129618.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 126, 574, 221, 507, 906

1. What is the LCM of 126, 574, 221, 507, 906?

Answer: LCM of 126, 574, 221, 507, 906 is 2241129618.

2. How to calculate the LCM of 126, 574, 221, 507, 906?

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, 574, 221, 507, 906.

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}.