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LCM of 932, 154, 214, 259, 749

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


Find the LCM of 932, 154, 214, 259, 749 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 932, 154, 214, 259, 749. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 932,154,214,259,749

Given numbers are 932,154,214,259,749

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

The LCM of 932,154,214,259,749 is 284113676.

Find LCM of 932,154,214,259,749 with Prime Factorization


2 932, 154, 214, 259, 749
7 466, 77, 107, 259, 749
107 466, 11, 107, 37, 107
466, 11, 1, 37, 1

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

2 x 7 x 107 x 466 x 11 x 1 x 37 x 1 = 284113676

Therefore, the lowest common multiple of 932,154,214,259,749 is 284113676.

LCM Formula to Find Lowest Common Multiple of 932,154,214,259,749

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.

932 x 154 x 214 x 259 x 749 = 5958432013072

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.

932 : 1, 2, 4, 233, 466, 932

154 : 1, 2, 7, 11, 14, 22, 77, 154

214 : 1, 2, 107, 214

259 : 1, 7, 37, 259

749 : 1, 7, 107, 749

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 932,154,214,259,749, is 1.

Now, the common factors can be found like this.

932:2x 2x 233

154:2x 7x 11

214:2x 107

259:7x 37

749:7x 107

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 7x 7x 107 = 20972

Therefore, the value for common factors is 20972.

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 = 5958432013072/(1x20972)

LCM = 5958432013072/20972

LCM = 284113676

Thus, we can understand that the LCM of 932,154,214,259,749 is 284113676.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 932, 154, 214, 259, 749

1. What is the LCM of 932, 154, 214, 259, 749?

Answer: LCM of 932, 154, 214, 259, 749 is 284113676.

2. How to calculate the LCM of 932, 154, 214, 259, 749?

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 932, 154, 214, 259, 749.

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}.