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LCM of 227, 543, 938, 670

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


Find the LCM of 227, 543, 938, 670 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 227, 543, 938, 670. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 227,543,938,670

Given numbers are 227,543,938,670

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

The LCM of 227,543,938,670 is 578094090.

Find LCM of 227,543,938,670 with Prime Factorization


2 227, 543, 938, 670
67 227, 543, 469, 335
227, 543, 7, 5

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

2 x 67 x 227 x 543 x 7 x 5 = 578094090

Therefore, the lowest common multiple of 227,543,938,670 is 578094090.

LCM Formula to Find Lowest Common Multiple of 227,543,938,670

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.

227 x 543 x 938 x 670 = 77464608060

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.

227 : 1, 227

543 : 1, 3, 181, 543

938 : 1, 2, 7, 14, 67, 134, 469, 938

670 : 1, 2, 5, 10, 67, 134, 335, 670

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 227,543,938,670, is 1.

Now, the common factors can be found like this.

227:227

543:3x 181

938:2x 7x 67

670:2x 5x 67

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

2x 67 = 134

Therefore, the value for common factors is 134.

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 = 77464608060/(1x134)

LCM = 77464608060/134

LCM = 578094090

Thus, we can understand that the LCM of 227,543,938,670 is 578094090.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 227, 543, 938, 670

1. What is the LCM of 227, 543, 938, 670?

Answer: LCM of 227, 543, 938, 670 is 578094090.

2. How to calculate the LCM of 227, 543, 938, 670?

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 227, 543, 938, 670.

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}.