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LCM of 262, 214, 786, 650

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


Find the LCM of 262, 214, 786, 650 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 262, 214, 786, 650. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 262,214,786,650

Given numbers are 262,214,786,650

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

The LCM of 262,214,786,650 is 27333150.

Find LCM of 262,214,786,650 with Prime Factorization


2 262, 214, 786, 650
131 131, 107, 393, 325
1, 107, 3, 325

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

2 x 131 x 1 x 107 x 3 x 325 = 27333150

Therefore, the lowest common multiple of 262,214,786,650 is 27333150.

LCM Formula to Find Lowest Common Multiple of 262,214,786,650

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.

262 x 214 x 786 x 650 = 28645141200

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.

262 : 1, 2, 131, 262

214 : 1, 2, 107, 214

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

650 : 1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 262,214,786,650, is 2.

Now, the common factors can be found like this.

262:2x 131

214:2x 107

786:2x 3x 131

650:2x 5x 5x 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 2x 131 = 524

Therefore, the value for common factors is 524.

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 = 28645141200/(2x524)

LCM = 28645141200/1048

LCM = 27333150

Thus, we can understand that the LCM of 262,214,786,650 is 27333150.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 262, 214, 786, 650

1. What is the LCM of 262, 214, 786, 650?

Answer: LCM of 262, 214, 786, 650 is 27333150.

2. How to calculate the LCM of 262, 214, 786, 650?

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 262, 214, 786, 650.

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}.