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LCM of 902, 161, 667, 261

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


Find the LCM of 902, 161, 667, 261 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 902, 161, 667, 261. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 902,161,667,261

Given numbers are 902,161,667,261

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

The LCM of 902,161,667,261 is 37902942.

Find LCM of 902,161,667,261 with Prime Factorization


23 902, 161, 667, 261
29 902, 7, 29, 261
902, 7, 1, 9

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

23 x 29 x 902 x 7 x 1 x 9 = 37902942

Therefore, the lowest common multiple of 902,161,667,261 is 37902942.

LCM Formula to Find Lowest Common Multiple of 902,161,667,261

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.

902 x 161 x 667 x 261 = 25281262314

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.

902 : 1, 2, 11, 22, 41, 82, 451, 902

161 : 1, 7, 23, 161

667 : 1, 23, 29, 667

261 : 1, 3, 9, 29, 87, 261

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 902,161,667,261, is 1.

Now, the common factors can be found like this.

902:2x 11x 41

161:7x 23

667:23x 29

261:3x 3x 29

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

23x 29 = 667

Therefore, the value for common factors is 667.

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 = 25281262314/(1x667)

LCM = 25281262314/667

LCM = 37902942

Thus, we can understand that the LCM of 902,161,667,261 is 37902942.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 902, 161, 667, 261

1. What is the LCM of 902, 161, 667, 261?

Answer: LCM of 902, 161, 667, 261 is 37902942.

2. How to calculate the LCM of 902, 161, 667, 261?

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 902, 161, 667, 261.

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}.