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LCM of 331, 248, 430, 946

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


Find the LCM of 331, 248, 430, 946 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 331, 248, 430, 946. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 331,248,430,946

Given numbers are 331,248,430,946

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

The LCM of 331,248,430,946 is 194138120.

Find LCM of 331,248,430,946 with Prime Factorization


2 331, 248, 430, 946
43 331, 124, 215, 473
331, 124, 5, 11

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

2 x 43 x 331 x 124 x 5 x 11 = 194138120

Therefore, the lowest common multiple of 331,248,430,946 is 194138120.

LCM Formula to Find Lowest Common Multiple of 331,248,430,946

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.

331 x 248 x 430 x 946 = 33391756640

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.

331 : 1, 331

248 : 1, 2, 4, 8, 31, 62, 124, 248

430 : 1, 2, 5, 10, 43, 86, 215, 430

946 : 1, 2, 11, 22, 43, 86, 473, 946

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 331,248,430,946, is 1.

Now, the common factors can be found like this.

331:331

248:2x 2x 2x 31

430:2x 5x 43

946:2x 11x 43

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 43 = 172

Therefore, the value for common factors is 172.

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 = 33391756640/(1x172)

LCM = 33391756640/172

LCM = 194138120

Thus, we can understand that the LCM of 331,248,430,946 is 194138120.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 331, 248, 430, 946

1. What is the LCM of 331, 248, 430, 946?

Answer: LCM of 331, 248, 430, 946 is 194138120.

2. How to calculate the LCM of 331, 248, 430, 946?

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 331, 248, 430, 946.

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}.