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LCM of 141, 461, 793, 610

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


Find the LCM of 141, 461, 793, 610 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 141, 461, 793, 610. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 141,461,793,610

Given numbers are 141,461,793,610

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

The LCM of 141,461,793,610 is 515457930.

Find LCM of 141,461,793,610 with Prime Factorization


61 141, 461, 793, 610
141, 461, 13, 10

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

61 x 141 x 461 x 13 x 10 = 515457930

Therefore, the lowest common multiple of 141,461,793,610 is 515457930.

LCM Formula to Find Lowest Common Multiple of 141,461,793,610

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.

141 x 461 x 793 x 610 = 31442933730

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.

141 : 1, 3, 47, 141

461 : 1, 461

793 : 1, 13, 61, 793

610 : 1, 2, 5, 10, 61, 122, 305, 610

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 141,461,793,610, is 1.

Now, the common factors can be found like this.

141:3x 47

461:461

793:13x 61

610:2x 5x 61

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

61 = 61

Therefore, the value for common factors is 61.

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 = 31442933730/(1x61)

LCM = 31442933730/61

LCM = 515457930

Thus, we can understand that the LCM of 141,461,793,610 is 515457930.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 141, 461, 793, 610

1. What is the LCM of 141, 461, 793, 610?

Answer: LCM of 141, 461, 793, 610 is 515457930.

2. How to calculate the LCM of 141, 461, 793, 610?

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 141, 461, 793, 610.

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}.