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LCM of 351, 661, 757, 906

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


Find the LCM of 351, 661, 757, 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 351, 661, 757, 906. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 351,661,757,906

Given numbers are 351,661,757,906

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

The LCM of 351,661,757,906 is 53040962754.

Find LCM of 351,661,757,906 with Prime Factorization


3 351, 661, 757, 906
117, 661, 757, 302

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

3 x 117 x 661 x 757 x 302 = 53040962754

Therefore, the lowest common multiple of 351,661,757,906 is 53040962754.

LCM Formula to Find Lowest Common Multiple of 351,661,757,906

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.

351 x 661 x 757 x 906 = 159122888262

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.

351 : 1, 3, 9, 13, 27, 39, 117, 351

661 : 1, 661

757 : 1, 757

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 351,661,757,906, is 1.

Now, the common factors can be found like this.

351:3x 3x 3x 13

661:661

757:757

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.

3 = 3

Therefore, the value for common factors is 3.

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 = 159122888262/(1x3)

LCM = 159122888262/3

LCM = 53040962754

Thus, we can understand that the LCM of 351,661,757,906 is 53040962754.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 351, 661, 757, 906

1. What is the LCM of 351, 661, 757, 906?

Answer: LCM of 351, 661, 757, 906 is 53040962754.

2. How to calculate the LCM of 351, 661, 757, 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 351, 661, 757, 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}.