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LCM of 941, 747, 249, 182

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


Find the LCM of 941, 747, 249, 182 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 941, 747, 249, 182. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 941,747,249,182

Given numbers are 941,747,249,182

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

The LCM of 941,747,249,182 is 127932714.

Find LCM of 941,747,249,182 with Prime Factorization


3 941, 747, 249, 182
83 941, 249, 83, 182
941, 3, 1, 182

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

3 x 83 x 941 x 3 x 1 x 182 = 127932714

Therefore, the lowest common multiple of 941,747,249,182 is 127932714.

LCM Formula to Find Lowest Common Multiple of 941,747,249,182

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.

941 x 747 x 249 x 182 = 31855245786

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.

941 : 1, 941

747 : 1, 3, 9, 83, 249, 747

249 : 1, 3, 83, 249

182 : 1, 2, 7, 13, 14, 26, 91, 182

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 941,747,249,182, is 1.

Now, the common factors can be found like this.

941:941

747:3x 3x 83

249:3x 83

182:2x 7x 13

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

3x 83 = 249

Therefore, the value for common factors is 249.

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 = 31855245786/(1x249)

LCM = 31855245786/249

LCM = 127932714

Thus, we can understand that the LCM of 941,747,249,182 is 127932714.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 941, 747, 249, 182

1. What is the LCM of 941, 747, 249, 182?

Answer: LCM of 941, 747, 249, 182 is 127932714.

2. How to calculate the LCM of 941, 747, 249, 182?

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 941, 747, 249, 182.

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}.