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LCM of 937, 491, 825, 253

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


Find the LCM of 937, 491, 825, 253 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 937, 491, 825, 253. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 937,491,825,253

Given numbers are 937,491,825,253

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

The LCM of 937,491,825,253 is 8729771325.

Find LCM of 937,491,825,253 with Prime Factorization


11 937, 491, 825, 253
937, 491, 75, 23

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

11 x 937 x 491 x 75 x 23 = 8729771325

Therefore, the lowest common multiple of 937,491,825,253 is 8729771325.

LCM Formula to Find Lowest Common Multiple of 937,491,825,253

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.

937 x 491 x 825 x 253 = 96027484575

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.

937 : 1, 937

491 : 1, 491

825 : 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

253 : 1, 11, 23, 253

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 937,491,825,253, is 1.

Now, the common factors can be found like this.

937:937

491:491

825:3x 5x 5x 11

253:11x 23

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

11 = 11

Therefore, the value for common factors is 11.

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 = 96027484575/(1x11)

LCM = 96027484575/11

LCM = 8729771325

Thus, we can understand that the LCM of 937,491,825,253 is 8729771325.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 937, 491, 825, 253

1. What is the LCM of 937, 491, 825, 253?

Answer: LCM of 937, 491, 825, 253 is 8729771325.

2. How to calculate the LCM of 937, 491, 825, 253?

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 937, 491, 825, 253.

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}.