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LCM of 892, 493, 409, 969

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


Find the LCM of 892, 493, 409, 969 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 892, 493, 409, 969. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 892,493,409,969

Given numbers are 892,493,409,969

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

The LCM of 892,493,409,969 is 10252031628.

Find LCM of 892,493,409,969 with Prime Factorization


17 892, 493, 409, 969
892, 29, 409, 57

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

17 x 892 x 29 x 409 x 57 = 10252031628

Therefore, the lowest common multiple of 892,493,409,969 is 10252031628.

LCM Formula to Find Lowest Common Multiple of 892,493,409,969

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.

892 x 493 x 409 x 969 = 174284537676

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.

892 : 1, 2, 4, 223, 446, 892

493 : 1, 17, 29, 493

409 : 1, 409

969 : 1, 3, 17, 19, 51, 57, 323, 969

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 892,493,409,969, is 1.

Now, the common factors can be found like this.

892:2x 2x 223

493:17x 29

409:409

969:3x 17x 19

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

17 = 17

Therefore, the value for common factors is 17.

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 = 174284537676/(1x17)

LCM = 174284537676/17

LCM = 10252031628

Thus, we can understand that the LCM of 892,493,409,969 is 10252031628.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 892, 493, 409, 969

1. What is the LCM of 892, 493, 409, 969?

Answer: LCM of 892, 493, 409, 969 is 10252031628.

2. How to calculate the LCM of 892, 493, 409, 969?

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 892, 493, 409, 969.

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}.