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LCM of 630, 674, 902, 574, 181

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


Find the LCM of 630, 674, 902, 574, 181 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 630, 674, 902, 574, 181. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 630,674,902,574,181

Given numbers are 630,674,902,574,181

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

The LCM of 630,674,902,574,181 is 17331077610.

Find LCM of 630,674,902,574,181 with Prime Factorization


2 630, 674, 902, 574, 181
7 315, 337, 451, 287, 181
41 45, 337, 451, 41, 181
45, 337, 11, 1, 181

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

2 x 7 x 41 x 45 x 337 x 11 x 1 x 181 = 17331077610

Therefore, the lowest common multiple of 630,674,902,574,181 is 17331077610.

LCM Formula to Find Lowest Common Multiple of 630,674,902,574,181

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.

630 x 674 x 902 x 574 x 181 = 39792154192560

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.

630 : 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

674 : 1, 2, 337, 674

902 : 1, 2, 11, 22, 41, 82, 451, 902

574 : 1, 2, 7, 14, 41, 82, 287, 574

181 : 1, 181

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 630,674,902,574,181, is 1.

Now, the common factors can be found like this.

630:2x 3x 3x 5x 7

674:2x 337

902:2x 11x 41

574:2x 7x 41

181:181

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 2x 7x 41 = 2296

Therefore, the value for common factors is 2296.

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 = 39792154192560/(1x2296)

LCM = 39792154192560/2296

LCM = 17331077610

Thus, we can understand that the LCM of 630,674,902,574,181 is 17331077610.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 630, 674, 902, 574, 181

1. What is the LCM of 630, 674, 902, 574, 181?

Answer: LCM of 630, 674, 902, 574, 181 is 17331077610.

2. How to calculate the LCM of 630, 674, 902, 574, 181?

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 630, 674, 902, 574, 181.

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}.