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LCM of 997, 840, 177, 177

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


Find the LCM of 997, 840, 177, 177 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 997, 840, 177, 177. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 997,840,177,177

Given numbers are 997,840,177,177

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

The LCM of 997,840,177,177 is 49411320.

Find LCM of 997,840,177,177 with Prime Factorization


3 997, 840, 177, 177
59 997, 280, 59, 59
997, 280, 1, 1

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

3 x 59 x 997 x 280 x 1 x 1 = 49411320

Therefore, the lowest common multiple of 997,840,177,177 is 49411320.

LCM Formula to Find Lowest Common Multiple of 997,840,177,177

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.

997 x 840 x 177 x 177 = 26237410920

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.

997 : 1, 997

840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

177 : 1, 3, 59, 177

177 : 1, 3, 59, 177

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 997,840,177,177, is 1.

Now, the common factors can be found like this.

997:997

840:2x 2x 2x 3x 5x 7

177:3x 59

177:3x 59

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

3x 3x 59 = 531

Therefore, the value for common factors is 531.

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 = 26237410920/(1x531)

LCM = 26237410920/531

LCM = 49411320

Thus, we can understand that the LCM of 997,840,177,177 is 49411320.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 997, 840, 177, 177

1. What is the LCM of 997, 840, 177, 177?

Answer: LCM of 997, 840, 177, 177 is 49411320.

2. How to calculate the LCM of 997, 840, 177, 177?

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 997, 840, 177, 177.

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}.