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LCM of 347, 806, 826, 143

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


Find the LCM of 347, 806, 826, 143 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 347, 806, 826, 143. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 347,806,826,143

Given numbers are 347,806,826,143

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

The LCM of 347,806,826,143 is 1270595326.

Find LCM of 347,806,826,143 with Prime Factorization


2 347, 806, 826, 143
13 347, 403, 413, 143
347, 31, 413, 11

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

2 x 13 x 347 x 31 x 413 x 11 = 1270595326

Therefore, the lowest common multiple of 347,806,826,143 is 1270595326.

LCM Formula to Find Lowest Common Multiple of 347,806,826,143

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.

347 x 806 x 826 x 143 = 33035478476

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.

347 : 1, 347

806 : 1, 2, 13, 26, 31, 62, 403, 806

826 : 1, 2, 7, 14, 59, 118, 413, 826

143 : 1, 11, 13, 143

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 347,806,826,143, is 1.

Now, the common factors can be found like this.

347:347

806:2x 13x 31

826:2x 7x 59

143:11x 13

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

2x 13 = 26

Therefore, the value for common factors is 26.

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 = 33035478476/(1x26)

LCM = 33035478476/26

LCM = 1270595326

Thus, we can understand that the LCM of 347,806,826,143 is 1270595326.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 347, 806, 826, 143

1. What is the LCM of 347, 806, 826, 143?

Answer: LCM of 347, 806, 826, 143 is 1270595326.

2. How to calculate the LCM of 347, 806, 826, 143?

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 347, 806, 826, 143.

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}.