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LCM of 481, 721, 884, 140

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


Find the LCM of 481, 721, 884, 140 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 481, 721, 884, 140. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 481,721,884,140

Given numbers are 481,721,884,140

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

The LCM of 481,721,884,140 is 117912340.

Find LCM of 481,721,884,140 with Prime Factorization


2 481, 721, 884, 140
2 481, 721, 442, 70
7 481, 721, 221, 35
13 481, 103, 221, 5
37, 103, 17, 5

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

2 x 2 x 7 x 13 x 37 x 103 x 17 x 5 = 117912340

Therefore, the lowest common multiple of 481,721,884,140 is 117912340.

LCM Formula to Find Lowest Common Multiple of 481,721,884,140

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.

481 x 721 x 884 x 140 = 42920091760

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.

481 : 1, 13, 37, 481

721 : 1, 7, 103, 721

884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

140 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 481,721,884,140, is 1.

Now, the common factors can be found like this.

481:13x 37

721:7x 103

884:2x 2x 13x 17

140:2x 2x 5x 7

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 7x 13 = 364

Therefore, the value for common factors is 364.

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 = 42920091760/(1x364)

LCM = 42920091760/364

LCM = 117912340

Thus, we can understand that the LCM of 481,721,884,140 is 117912340.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 481, 721, 884, 140

1. What is the LCM of 481, 721, 884, 140?

Answer: LCM of 481, 721, 884, 140 is 117912340.

2. How to calculate the LCM of 481, 721, 884, 140?

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 481, 721, 884, 140.

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}.