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LCM of 252, 327, 254, 445

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


Find the LCM of 252, 327, 254, 445 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 252, 327, 254, 445. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 252,327,254,445

Given numbers are 252,327,254,445

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

The LCM of 252,327,254,445 is 1552354020.

Find LCM of 252,327,254,445 with Prime Factorization


2 252, 327, 254, 445
3 126, 327, 127, 445
42, 109, 127, 445

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

2 x 3 x 42 x 109 x 127 x 445 = 1552354020

Therefore, the lowest common multiple of 252,327,254,445 is 1552354020.

LCM Formula to Find Lowest Common Multiple of 252,327,254,445

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.

252 x 327 x 254 x 445 = 9314124120

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.

252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

327 : 1, 3, 109, 327

254 : 1, 2, 127, 254

445 : 1, 5, 89, 445

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 252,327,254,445, is 1.

Now, the common factors can be found like this.

252:2x 2x 3x 3x 7

327:3x 109

254:2x 127

445:5x 89

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 9314124120/(1x6)

LCM = 9314124120/6

LCM = 1552354020

Thus, we can understand that the LCM of 252,327,254,445 is 1552354020.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 252, 327, 254, 445

1. What is the LCM of 252, 327, 254, 445?

Answer: LCM of 252, 327, 254, 445 is 1552354020.

2. How to calculate the LCM of 252, 327, 254, 445?

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 252, 327, 254, 445.

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}.