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LCM of 771, 141, 494

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


Find the LCM of 771, 141, 494 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, 141, 494. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 771,141,494

Given numbers are 771,141,494

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

The LCM of 771,141,494 is 17901078.

Find LCM of 771,141,494 with Prime Factorization


3 771, 141, 494
257, 47, 494

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

3 x 257 x 47 x 494 = 17901078

Therefore, the lowest common multiple of 771,141,494 is 17901078.

LCM Formula to Find Lowest Common Multiple of 771,141,494

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 141 x 494 = 53703234

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

141 : 1, 3, 47, 141

494 : 1, 2, 13, 19, 26, 38, 247, 494

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 771,141,494, is 1.

Now, the common factors can be found like this.

771:3x 257

141:3x 47

494:2x 13x 19

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 = 53703234/(1x3)

LCM = 53703234/3

LCM = 17901078

Thus, we can understand that the LCM of 771,141,494 is 17901078.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 771, 141, 494

1. What is the LCM of 771, 141, 494?

Answer: LCM of 771, 141, 494 is 17901078.

2. How to calculate the LCM of 771, 141, 494?

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, 141, 494.

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}.