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LCM of 484, 154, 541, 925

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


Find the LCM of 484, 154, 541, 925 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 484, 154, 541, 925. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 484,154,541,925

Given numbers are 484,154,541,925

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

The LCM of 484,154,541,925 is 1695439900.

Find LCM of 484,154,541,925 with Prime Factorization


2 484, 154, 541, 925
11 242, 77, 541, 925
22, 7, 541, 925

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

2 x 11 x 22 x 7 x 541 x 925 = 1695439900

Therefore, the lowest common multiple of 484,154,541,925 is 1695439900.

LCM Formula to Find Lowest Common Multiple of 484,154,541,925

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.

484 x 154 x 541 x 925 = 37299677800

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.

484 : 1, 2, 4, 11, 22, 44, 121, 242, 484

154 : 1, 2, 7, 11, 14, 22, 77, 154

541 : 1, 541

925 : 1, 5, 25, 37, 185, 925

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 484,154,541,925, is 1.

Now, the common factors can be found like this.

484:2x 2x 11x 11

154:2x 7x 11

541:541

925:5x 5x 37

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

2x 11 = 22

Therefore, the value for common factors is 22.

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 = 37299677800/(1x22)

LCM = 37299677800/22

LCM = 1695439900

Thus, we can understand that the LCM of 484,154,541,925 is 1695439900.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 484, 154, 541, 925

1. What is the LCM of 484, 154, 541, 925?

Answer: LCM of 484, 154, 541, 925 is 1695439900.

2. How to calculate the LCM of 484, 154, 541, 925?

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 484, 154, 541, 925.

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}.