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LCM of 771, 969, 941

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


Find the LCM of 771, 969, 941 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 771, 969, 941. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 771,969,941

Given numbers are 771,969,941

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

The LCM of 771,969,941 is 234340053.

Find LCM of 771,969,941 with Prime Factorization


3 771, 969, 941
257, 323, 941

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

3 x 257 x 323 x 941 = 234340053

Therefore, the lowest common multiple of 771,969,941 is 234340053.

LCM Formula to Find Lowest Common Multiple of 771,969,941

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.

771 x 969 x 941 = 703020159

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.

771 : 1, 3, 257, 771

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

941 : 1, 941

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 771,969,941, is 1.

Now, the common factors can be found like this.

771:3x 257

969:3x 17x 19

941:941

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

3 = 3

Therefore, the value for common factors is 3.

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 = 703020159/(1x3)

LCM = 703020159/3

LCM = 234340053

Thus, we can understand that the LCM of 771,969,941 is 234340053.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 771, 969, 941

1. What is the LCM of 771, 969, 941?

Answer: LCM of 771, 969, 941 is 234340053.

2. How to calculate the LCM of 771, 969, 941?

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 771, 969, 941.

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}.