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LCM of 391, 293, 969

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


Find the LCM of 391, 293, 969 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 391, 293, 969. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 391,293,969

Given numbers are 391,293,969

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

The LCM of 391,293,969 is 6530091.

Find LCM of 391,293,969 with Prime Factorization


17 391, 293, 969
23, 293, 57

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

17 x 23 x 293 x 57 = 6530091

Therefore, the lowest common multiple of 391,293,969 is 6530091.

LCM Formula to Find Lowest Common Multiple of 391,293,969

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.

391 x 293 x 969 = 111011547

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.

391 : 1, 17, 23, 391

293 : 1, 293

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 391,293,969, is 1.

Now, the common factors can be found like this.

391:17x 23

293:293

969:3x 17x 19

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

17 = 17

Therefore, the value for common factors is 17.

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 = 111011547/(1x17)

LCM = 111011547/17

LCM = 6530091

Thus, we can understand that the LCM of 391,293,969 is 6530091.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 391, 293, 969

1. What is the LCM of 391, 293, 969?

Answer: LCM of 391, 293, 969 is 6530091.

2. How to calculate the LCM of 391, 293, 969?

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 391, 293, 969.

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}.