LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

LCM of 448, 180, 814, 127, 925

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


Find the LCM of 448, 180, 814, 127, 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 448, 180, 814, 127, 925. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 448,180,814,127,925

Given numbers are 448,180,814,127,925

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

The LCM of 448,180,814,127,925 is 5210251200.

Find LCM of 448,180,814,127,925 with Prime Factorization


2 448, 180, 814, 127, 925
2 224, 90, 407, 127, 925
5 112, 45, 407, 127, 925
37 112, 9, 407, 127, 185
112, 9, 11, 127, 5

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

2 x 2 x 5 x 37 x 112 x 9 x 11 x 127 x 5 = 5210251200

Therefore, the lowest common multiple of 448,180,814,127,925 is 5210251200.

LCM Formula to Find Lowest Common Multiple of 448,180,814,127,925

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.

448 x 180 x 814 x 127 x 925 = 7711171776000

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.

448 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

814 : 1, 2, 11, 22, 37, 74, 407, 814

127 : 1, 127

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 448,180,814,127,925, is 1.

Now, the common factors can be found like this.

448:2x 2x 2x 2x 2x 2x 7

180:2x 2x 3x 3x 5

814:2x 11x 37

127:127

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 2x 2x 5x 37 = 1480

Therefore, the value for common factors is 1480.

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 = 7711171776000/(1x1480)

LCM = 7711171776000/1480

LCM = 5210251200

Thus, we can understand that the LCM of 448,180,814,127,925 is 5210251200.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 448, 180, 814, 127, 925

1. What is the LCM of 448, 180, 814, 127, 925?

Answer: LCM of 448, 180, 814, 127, 925 is 5210251200.

2. How to calculate the LCM of 448, 180, 814, 127, 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 448, 180, 814, 127, 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}.