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LCM of 252, 309, 958, 844, 972

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


Find the LCM of 252, 309, 958, 844, 972 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, 309, 958, 844, 972. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 252,309,958,844,972

Given numbers are 252,309,958,844,972

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

The LCM of 252,309,958,844,972 is 70830368028.

Find LCM of 252,309,958,844,972 with Prime Factorization


2 252, 309, 958, 844, 972
2 126, 309, 479, 422, 486
3 63, 309, 479, 211, 243
3 21, 103, 479, 211, 81
7, 103, 479, 211, 27

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

2 x 2 x 3 x 3 x 7 x 103 x 479 x 211 x 27 = 70830368028

Therefore, the lowest common multiple of 252,309,958,844,972 is 70830368028.

LCM Formula to Find Lowest Common Multiple of 252,309,958,844,972

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 309 x 958 x 844 x 972 = 61197437976192

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

309 : 1, 3, 103, 309

958 : 1, 2, 479, 958

844 : 1, 2, 4, 211, 422, 844

972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 252,309,958,844,972, is 1.

Now, the common factors can be found like this.

252:2x 2x 3x 3x 7

309:3x 103

958:2x 479

844:2x 2x 211

972:2x 2x 3x 3x 3x 3x 3

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 2x 2x 3x 3x 3 = 864

Therefore, the value for common factors is 864.

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 = 61197437976192/(1x864)

LCM = 61197437976192/864

LCM = 70830368028

Thus, we can understand that the LCM of 252,309,958,844,972 is 70830368028.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 252, 309, 958, 844, 972

1. What is the LCM of 252, 309, 958, 844, 972?

Answer: LCM of 252, 309, 958, 844, 972 is 70830368028.

2. How to calculate the LCM of 252, 309, 958, 844, 972?

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, 309, 958, 844, 972.

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}.