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LCM of 779, 241, 969, 281

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


Find the LCM of 779, 241, 969, 281 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 779, 241, 969, 281. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 779,241,969,281

Given numbers are 779,241,969,281

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

The LCM of 779,241,969,281 is 2690487609.

Find LCM of 779,241,969,281 with Prime Factorization


19 779, 241, 969, 281
41, 241, 51, 281

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

19 x 41 x 241 x 51 x 281 = 2690487609

Therefore, the lowest common multiple of 779,241,969,281 is 2690487609.

LCM Formula to Find Lowest Common Multiple of 779,241,969,281

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.

779 x 241 x 969 x 281 = 51119264571

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.

779 : 1, 19, 41, 779

241 : 1, 241

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

281 : 1, 281

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 779,241,969,281, is 1.

Now, the common factors can be found like this.

779:19x 41

241:241

969:3x 17x 19

281:281

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

19 = 19

Therefore, the value for common factors is 19.

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 = 51119264571/(1x19)

LCM = 51119264571/19

LCM = 2690487609

Thus, we can understand that the LCM of 779,241,969,281 is 2690487609.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 779, 241, 969, 281

1. What is the LCM of 779, 241, 969, 281?

Answer: LCM of 779, 241, 969, 281 is 2690487609.

2. How to calculate the LCM of 779, 241, 969, 281?

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 779, 241, 969, 281.

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}.