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LCM of 746, 786, 131, 291

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


Find the LCM of 746, 786, 131, 291 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 746, 786, 131, 291. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 746,786,131,291

Given numbers are 746,786,131,291

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

The LCM of 746,786,131,291 is 28438266.

Find LCM of 746,786,131,291 with Prime Factorization


2 746, 786, 131, 291
3 373, 393, 131, 291
131 373, 131, 131, 97
373, 1, 1, 97

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

2 x 3 x 131 x 373 x 1 x 1 x 97 = 28438266

Therefore, the lowest common multiple of 746,786,131,291 is 28438266.

LCM Formula to Find Lowest Common Multiple of 746,786,131,291

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.

746 x 786 x 131 x 291 = 22352477076

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.

746 : 1, 2, 373, 746

786 : 1, 2, 3, 6, 131, 262, 393, 786

131 : 1, 131

291 : 1, 3, 97, 291

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 746,786,131,291, is 1.

Now, the common factors can be found like this.

746:2x 373

786:2x 3x 131

131:131

291:3x 97

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

2x 3x 131 = 786

Therefore, the value for common factors is 786.

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 = 22352477076/(1x786)

LCM = 22352477076/786

LCM = 28438266

Thus, we can understand that the LCM of 746,786,131,291 is 28438266.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 746, 786, 131, 291

1. What is the LCM of 746, 786, 131, 291?

Answer: LCM of 746, 786, 131, 291 is 28438266.

2. How to calculate the LCM of 746, 786, 131, 291?

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 746, 786, 131, 291.

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}.